{ "cells": [ { "cell_type": "markdown", "id": "a40f6857", "metadata": {}, "source": [ "## Exploring reaching equilibrium\n", "\n", "The system starts out with a pulse in bins near the *left* and the *right* endpoints\n", "\n", "EXTRA OUTPUT (incl. graphics): overwritten into the .htm file with the same base name. Visualized with heatmaps and line curves.\n", "\n", "LAST REVISED: Nov. 28, 2022" ] }, { "cell_type": "code", "execution_count": 1, "id": "d142d450-f2af-42fa-9026-2b44919c5b40", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Added 'D:\\Docs\\- MY CODE\\BioSimulations\\life123-Win7' to sys.path\n" ] } ], "source": [ "# Extend the sys.path variable, to contain the project's root directory\n", "import set_path\n", "set_path.add_ancestor_dir_to_syspath(3) # The number of levels to go up \n", " # to reach the project's home from the folder containing this notebook" ] }, { "cell_type": "code", "execution_count": 2, "id": "9897632a-191c-4cdc-9bc2-a1143c2f0d36", "metadata": {}, "outputs": [], "source": [ "from experiments.get_notebook_info import get_notebook_basename\n", "\n", "from src.life_1D.bio_sim_1d import BioSim1D\n", "\n", "import plotly.express as px\n", "\n", "from src.modules.reactions.reaction_data import ReactionData as chem\n", "from src.modules.html_log.html_log import HtmlLog as log\n", "from src.modules.visualization.graphic_log import GraphicLog" ] }, { "cell_type": "code", "execution_count": 3, "id": "56c2a43d-d531-414e-921c-bf746c2ba991", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "-> Output will be LOGGED into the file 'reach_equilibrium_2.log.htm'\n" ] } ], "source": [ "# Initialize the HTML logging\n", "log_file = get_notebook_basename() + \".log.htm\" # Use the notebook base filename for the log file\n", "GraphicLog.config(filename=log_file,\n", " components=[\"vue_heatmap_11\", \"vue_curves_3\"])" ] }, { "cell_type": "code", "execution_count": 4, "id": "f14a35e1-83a5-42da-9258-89d9af0ffe31", "metadata": {}, "outputs": [], "source": [ "# Set the heatmap parameters\n", "heatmap_pars = {\"range\": [0, 2.5],\n", " \"outer_width\": 850, \"outer_height\": 150,\n", " \"margins\": {\"top\": 30, \"right\": 30, \"bottom\": 30, \"left\": 55}\n", " }\n", "\n", "# Set the parameters of the line plots\n", "lineplot_pars = {\"range\": [0, 10],\n", " \"outer_width\": 850, \"outer_height\": 250,\n", " \"margins\": {\"top\": 30, \"right\": 30, \"bottom\": 30, \"left\": 55}\n", " }" ] }, { "cell_type": "code", "execution_count": 5, "id": "99ab76d6", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "SYSTEM STATE at Time t = 0:\n", "9 bins and 1 species:\n", " Species 0 (A). Diff rate: 0.1. Conc: [ 0. 0. 10. 0. 0. 0. 10. 0. 0.]\n" ] } ], "source": [ "# Initialize the system\n", "chem_data = chem(names=[\"A\"], diffusion_rates=[0.1])\n", "bio = BioSim1D(n_bins=9, chem_data=chem_data)\n", "\n", "bio.set_uniform_concentration(species_index=0, conc=0.)\n", "\n", "# Start out with a pulse in bins near the *left* and the *right* endpoints. \n", "# A total of 20 \"units of concentration\" is injected\n", "bio.inject_conc_to_bin(species_index=0, bin_address=2, delta_conc=10.)\n", "bio.inject_conc_to_bin(species_index=0, bin_address=6, delta_conc=10.)\n", "\n", "bio.describe_state()" ] }, { "cell_type": "code", "execution_count": 6, "id": "012d98f0-4846-4d56-8b50-f30543b31fe0", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "SYSTEM SNAPSHOT at time 0:\n", " A\n", "0 0.0\n", "1 0.0\n", "2 10.0\n", "3 0.0\n", "4 0.0\n", "5 0.0\n", "6 10.0\n", "7 0.0\n", "8 0.0\n" ] } ], "source": [ "bio.show_system_snapshot()" ] }, { "cell_type": "code", "execution_count": 7, "id": "338bd51c-6b12-4cf0-8526-797389fbc55c", "metadata": {}, "outputs": [ { "data": { "text/html": [ " \n", " " ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "hovertemplate": "Chemical=A
Bin number=%{x}
concentration=%{y}", "legendgroup": "A", "line": { "color": "red", "dash": "solid" }, "marker": { "symbol": "circle" }, "mode": "lines", "name": "A", "orientation": "v", "showlegend": true, "type": "scatter", "x": [ 0, 1, 2, 3, 4, 5, 6, 7, 8 ], "xaxis": "x", "y": [ 0, 0, 10, 0, 0, 0, 10, 0, 0 ], "yaxis": "y" } ], "layout": { "autosize": true, "legend": { "title": { "text": "Chemical" }, "tracegroupgap": 0 }, "template": { "data": { "bar": [ { "error_x": { "color": "#2a3f5f" }, "error_y": { "color": "#2a3f5f" }, "marker": { "line": { "color": "#E5ECF6", "width": 0.5 }, "pattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 } }, "type": "bar" } ], "barpolar": [ { "marker": { "line": { "color": "#E5ECF6", "width": 0.5 }, "pattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 } }, "type": "barpolar" } ], "carpet": [ { "aaxis": { "endlinecolor": "#2a3f5f", "gridcolor": "white", "linecolor": "white", "minorgridcolor": "white", "startlinecolor": "#2a3f5f" }, "baxis": { "endlinecolor": "#2a3f5f", "gridcolor": "white", "linecolor": "white", "minorgridcolor": "white", "startlinecolor": "#2a3f5f" }, "type": "carpet" } ], "choropleth": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "type": "choropleth" } ], "contour": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "contour" } ], "contourcarpet": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "type": "contourcarpet" } ], "heatmap": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "heatmap" } ], "heatmapgl": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "heatmapgl" } ], "histogram": [ { "marker": { "pattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 } }, "type": "histogram" } ], "histogram2d": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "histogram2d" } ], "histogram2dcontour": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "histogram2dcontour" } ], "mesh3d": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "type": "mesh3d" } ], "parcoords": [ { "line": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "parcoords" } ], "pie": [ { "automargin": true, "type": "pie" } ], "scatter": [ { "fillpattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 }, "type": "scatter" } ], "scatter3d": [ { "line": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatter3d" } ], "scattercarpet": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattercarpet" } ], "scattergeo": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattergeo" } ], "scattergl": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattergl" } ], "scattermapbox": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattermapbox" } ], "scatterpolar": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatterpolar" } ], "scatterpolargl": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatterpolargl" } ], "scatterternary": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatterternary" } ], "surface": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "surface" } ], "table": [ { "cells": { "fill": { "color": "#EBF0F8" }, "line": { "color": "white" } }, "header": { "fill": { "color": "#C8D4E3" }, "line": { "color": "white" } }, "type": "table" } ] }, "layout": { "annotationdefaults": { "arrowcolor": "#2a3f5f", "arrowhead": 0, "arrowwidth": 1 }, "autotypenumbers": "strict", "coloraxis": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "colorscale": { "diverging": [ [ 0, "#8e0152" ], [ 0.1, "#c51b7d" ], [ 0.2, "#de77ae" ], [ 0.3, "#f1b6da" ], [ 0.4, "#fde0ef" ], [ 0.5, "#f7f7f7" ], [ 0.6, "#e6f5d0" ], [ 0.7, "#b8e186" ], [ 0.8, "#7fbc41" ], [ 0.9, "#4d9221" ], [ 1, "#276419" ] ], "sequential": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "sequentialminus": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ] }, "colorway": [ "#636efa", "#EF553B", "#00cc96", "#ab63fa", "#FFA15A", "#19d3f3", "#FF6692", "#B6E880", "#FF97FF", "#FECB52" ], "font": { "color": "#2a3f5f" }, "geo": { "bgcolor": "white", "lakecolor": "white", "landcolor": "#E5ECF6", "showlakes": true, "showland": true, "subunitcolor": "white" }, "hoverlabel": { "align": "left" }, "hovermode": "closest", "mapbox": { "style": "light" }, "paper_bgcolor": "white", "plot_bgcolor": "#E5ECF6", "polar": { "angularaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "bgcolor": "#E5ECF6", "radialaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" } }, "scene": { "xaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" }, "yaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" }, "zaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" } }, "shapedefaults": { "line": { "color": "#2a3f5f" } }, "ternary": { "aaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "baxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "bgcolor": "#E5ECF6", "caxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" } }, "title": { "x": 0.05 }, "xaxis": { "automargin": true, "gridcolor": "white", "linecolor": "white", "ticks": "", "title": { "standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 }, "yaxis": { "automargin": true, "gridcolor": "white", "linecolor": "white", "ticks": "", "title": { "standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 } } }, "title": { "text": "Diffusion. System snapshot at time t=0" }, "xaxis": { "anchor": "y", "autorange": true, "domain": [ 0, 1 ], "range": [ 0, 8 ], "title": { "text": "Bin number" }, "type": "linear" }, "yaxis": { "anchor": "x", "autorange": true, "domain": [ 0, 1 ], "range": [ -0.5555555555555556, 10.555555555555555 ], "title": { "text": "concentration" }, "type": "linear" } } }, "image/png": "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", "text/html": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = px.line(data_frame=bio.system_snapshot(), y=[\"A\"], \n", " title= f\"Diffusion. System snapshot at time t={bio.system_time}\",\n", " color_discrete_sequence = ['red'],\n", " labels={\"value\":\"concentration\", \"variable\":\"Chemical\", \"index\":\"Bin number\"})\n", "fig.show()" ] }, { "cell_type": "code", "execution_count": 8, "id": "bc2e15e3-55a8-42fd-894a-918893d7f685", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1-D diffusion to equilibrium of a single species, with Diffusion rate 0.1. Time steps of 0.1\n", "\n", "\n", "System state at time t=0:\n", "[GRAPHIC ELEMENT SENT TO LOG FILE `reach_equilibrium_2.log.htm`]\n", "[GRAPHIC ELEMENT SENT TO LOG FILE `reach_equilibrium_2.log.htm`]\n" ] } ], "source": [ "# Output to the log file\n", "log.write(\"1-D diffusion to equilibrium of a single species, with Diffusion rate 0.1. Time steps of 0.1\",\n", " style=log.h2)\n", "\n", "log.write(f\"System state at time t={bio.system_time}:\", blanks_before=2, style=log.bold)\n", "\n", "# Output a heatmap to the log file\n", "bio.single_species_heatmap(species_index=0, heatmap_pars=heatmap_pars, header=f\"Time {bio.system_time} :\\n\", graphic_component=\"vue_heatmap_11\")\n", "# Output a line plot the log file\n", "bio.single_species_line_plot(species_index=0, plot_pars=lineplot_pars, graphic_component=\"vue_curves_3\")" ] }, { "cell_type": "markdown", "id": "4ecbe3fb-93dd-4fe5-bda6-b39a7deebf64", "metadata": {}, "source": [ "# Start the simulation steps" ] }, { "cell_type": "code", "execution_count": 9, "id": "972cbe64", "metadata": {}, "outputs": [], "source": [ "delta_time = 3." ] }, { "cell_type": "code", "execution_count": 10, "id": "ace251be", "metadata": { "lines_to_next_cell": 2, "scrolled": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "After Delta time 3.0. TOTAL TIME 3.0000000000000013 (30 steps taken):\n", "SYSTEM STATE at Time t = 3.0000000000000013:\n", "[[0.27757451 1.74303541 5.96050983 1.76527256 0.5072154 1.76527256\n", " 5.96050983 1.74303541 0.27757451]]\n" ] }, { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "hovertemplate": "Chemical=A
Bin number=%{x}
concentration=%{y}", "legendgroup": "A", "line": { "color": "red", "dash": "solid" }, "marker": { "symbol": "circle" }, "mode": "lines", "name": "A", "orientation": "v", "showlegend": true, "type": "scatter", "x": [ 0, 1, 2, 3, 4, 5, 6, 7, 8 ], "xaxis": "x", "y": [ 0.2775745068156102, 1.74303540697427, 5.960509831179085, 1.7652725571491619, 0.5072153957637419, 1.7652725571491619, 5.960509831179085, 1.74303540697427, 0.2775745068156102 ], "yaxis": "y" } ], "layout": { "autosize": true, "legend": { "title": { "text": "Chemical" }, "tracegroupgap": 0 }, "template": { "data": { "bar": [ { "error_x": { "color": "#2a3f5f" }, "error_y": { "color": "#2a3f5f" }, "marker": { "line": { "color": "#E5ECF6", "width": 0.5 }, "pattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 } }, "type": "bar" } ], "barpolar": [ { "marker": { "line": { "color": "#E5ECF6", "width": 0.5 }, "pattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 } }, "type": "barpolar" } ], "carpet": [ { "aaxis": { "endlinecolor": "#2a3f5f", "gridcolor": "white", "linecolor": "white", "minorgridcolor": "white", "startlinecolor": "#2a3f5f" }, "baxis": { "endlinecolor": "#2a3f5f", "gridcolor": "white", "linecolor": "white", "minorgridcolor": "white", "startlinecolor": "#2a3f5f" }, "type": "carpet" } ], "choropleth": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "type": "choropleth" } ], "contour": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "contour" } ], "contourcarpet": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "type": "contourcarpet" } ], "heatmap": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "heatmap" } ], "heatmapgl": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "heatmapgl" } ], "histogram": [ { "marker": { "pattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 } }, "type": "histogram" } ], "histogram2d": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "histogram2d" } ], "histogram2dcontour": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "histogram2dcontour" } ], "mesh3d": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "type": "mesh3d" } ], "parcoords": [ { "line": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "parcoords" } ], "pie": [ { "automargin": true, "type": "pie" } ], "scatter": [ { "fillpattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 }, "type": "scatter" } ], "scatter3d": [ { "line": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatter3d" } ], "scattercarpet": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattercarpet" } ], "scattergeo": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattergeo" } ], "scattergl": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattergl" } ], "scattermapbox": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattermapbox" } ], "scatterpolar": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatterpolar" } ], "scatterpolargl": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatterpolargl" } ], "scatterternary": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatterternary" } ], "surface": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "surface" } ], "table": [ { "cells": { "fill": { "color": "#EBF0F8" }, "line": { "color": "white" } }, "header": { "fill": { "color": "#C8D4E3" }, "line": { "color": "white" } }, "type": "table" } ] }, "layout": { "annotationdefaults": { "arrowcolor": "#2a3f5f", "arrowhead": 0, "arrowwidth": 1 }, "autotypenumbers": "strict", "coloraxis": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "colorscale": { "diverging": [ [ 0, "#8e0152" ], [ 0.1, "#c51b7d" ], [ 0.2, "#de77ae" ], [ 0.3, "#f1b6da" ], [ 0.4, "#fde0ef" ], [ 0.5, "#f7f7f7" ], [ 0.6, "#e6f5d0" ], [ 0.7, "#b8e186" ], [ 0.8, "#7fbc41" ], [ 0.9, "#4d9221" ], [ 1, "#276419" ] ], "sequential": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "sequentialminus": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ] }, "colorway": [ "#636efa", "#EF553B", "#00cc96", "#ab63fa", "#FFA15A", "#19d3f3", "#FF6692", "#B6E880", "#FF97FF", "#FECB52" ], "font": { "color": "#2a3f5f" }, "geo": { "bgcolor": "white", "lakecolor": "white", "landcolor": "#E5ECF6", "showlakes": true, "showland": true, "subunitcolor": "white" }, "hoverlabel": { "align": "left" }, "hovermode": "closest", "mapbox": { "style": "light" }, "paper_bgcolor": "white", "plot_bgcolor": "#E5ECF6", "polar": { "angularaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "bgcolor": "#E5ECF6", "radialaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" } }, "scene": { "xaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" }, "yaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" }, "zaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" } }, "shapedefaults": { "line": { "color": "#2a3f5f" } }, "ternary": { "aaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "baxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "bgcolor": "#E5ECF6", "caxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" } }, "title": { "x": 0.05 }, "xaxis": { "automargin": true, "gridcolor": "white", "linecolor": "white", "ticks": "", "title": { "standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 }, "yaxis": { "automargin": true, "gridcolor": "white", "linecolor": "white", "ticks": "", "title": { "standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 } } }, "title": { "text": "Diffusion. System snapshot at time t=3.0000000000000013" }, "xaxis": { "anchor": "y", "autorange": true, "domain": [ 0, 1 ], "range": [ 0, 8 ], "title": { "text": "Bin number" }, "type": "linear" }, "yaxis": { "anchor": "x", "autorange": true, "domain": [ 0, 1 ], "range": [ -0.03814412231569392, 6.276228460310389 ], "title": { "text": "concentration" }, "type": "linear" } } }, "image/png": "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", "text/html": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "[GRAPHIC ELEMENT SENT TO LOG FILE `reach_equilibrium_2.log.htm`]\n", "[GRAPHIC ELEMENT SENT TO LOG FILE `reach_equilibrium_2.log.htm`]\n", "\n", "After Delta time 3.0. TOTAL TIME 5.999999999999995 (30 steps taken):\n", "SYSTEM STATE at Time t = 5.999999999999995:\n", "[[0.73152765 2.1834153 4.18877184 2.28238941 1.22779161 2.28238941\n", " 4.18877184 2.1834153 0.73152765]]\n" ] }, { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "hovertemplate": "Chemical=A
Bin number=%{x}
concentration=%{y}", "legendgroup": "A", "line": { "color": "red", "dash": "solid" }, "marker": { "symbol": "circle" }, "mode": "lines", "name": "A", "orientation": "v", "showlegend": true, "type": "scatter", "x": [ 0, 1, 2, 3, 4, 5, 6, 7, 8 ], "xaxis": "x", "y": [ 0.7315276477799334, 2.183415297774347, 4.188771841425626, 2.282389407533029, 1.2277916109741278, 2.282389407533029, 4.188771841425626, 2.183415297774347, 0.7315276477799334 ], "yaxis": "y" } ], "layout": { "autosize": true, "legend": { "title": { "text": "Chemical" }, "tracegroupgap": 0 }, "template": { "data": { "bar": [ { "error_x": { "color": "#2a3f5f" }, "error_y": { "color": "#2a3f5f" }, "marker": { "line": { "color": "#E5ECF6", "width": 0.5 }, "pattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 } }, "type": "bar" } ], "barpolar": [ { "marker": { "line": { "color": "#E5ECF6", "width": 0.5 }, "pattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 } }, "type": "barpolar" } ], "carpet": [ { "aaxis": { "endlinecolor": "#2a3f5f", "gridcolor": "white", "linecolor": "white", "minorgridcolor": "white", "startlinecolor": "#2a3f5f" }, "baxis": { "endlinecolor": "#2a3f5f", "gridcolor": "white", "linecolor": "white", "minorgridcolor": "white", "startlinecolor": "#2a3f5f" }, "type": "carpet" } ], "choropleth": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "type": "choropleth" } ], "contour": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "contour" } ], "contourcarpet": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "type": "contourcarpet" } ], "heatmap": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "heatmap" } ], "heatmapgl": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "heatmapgl" } ], "histogram": [ { "marker": { "pattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 } }, "type": "histogram" } ], "histogram2d": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "histogram2d" } ], "histogram2dcontour": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "histogram2dcontour" } ], "mesh3d": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "type": "mesh3d" } ], "parcoords": [ { "line": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "parcoords" } ], "pie": [ { "automargin": true, "type": "pie" } ], "scatter": [ { "fillpattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 }, "type": "scatter" } ], "scatter3d": [ { "line": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatter3d" } ], "scattercarpet": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattercarpet" } ], "scattergeo": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattergeo" } ], "scattergl": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattergl" } ], "scattermapbox": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattermapbox" } ], "scatterpolar": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatterpolar" } ], "scatterpolargl": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatterpolargl" } ], "scatterternary": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatterternary" } ], "surface": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "surface" } ], "table": [ { "cells": { "fill": { "color": "#EBF0F8" }, "line": { "color": "white" } }, "header": { "fill": { "color": "#C8D4E3" }, "line": { "color": "white" } }, "type": "table" } ] }, "layout": { "annotationdefaults": { "arrowcolor": "#2a3f5f", "arrowhead": 0, "arrowwidth": 1 }, "autotypenumbers": "strict", "coloraxis": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "colorscale": { "diverging": [ [ 0, "#8e0152" ], [ 0.1, "#c51b7d" ], [ 0.2, "#de77ae" ], [ 0.3, "#f1b6da" ], [ 0.4, "#fde0ef" ], [ 0.5, "#f7f7f7" ], [ 0.6, "#e6f5d0" ], [ 0.7, "#b8e186" ], [ 0.8, "#7fbc41" ], [ 0.9, "#4d9221" ], [ 1, "#276419" ] ], "sequential": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "sequentialminus": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ] }, "colorway": [ "#636efa", "#EF553B", "#00cc96", "#ab63fa", "#FFA15A", "#19d3f3", "#FF6692", "#B6E880", "#FF97FF", "#FECB52" ], "font": { "color": "#2a3f5f" }, "geo": { "bgcolor": "white", "lakecolor": "white", "landcolor": "#E5ECF6", "showlakes": true, "showland": true, "subunitcolor": "white" }, "hoverlabel": { "align": "left" }, "hovermode": "closest", "mapbox": { "style": "light" }, "paper_bgcolor": "white", "plot_bgcolor": "#E5ECF6", "polar": { "angularaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "bgcolor": "#E5ECF6", "radialaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" } }, "scene": { "xaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" }, "yaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" }, "zaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" } }, "shapedefaults": { "line": { "color": "#2a3f5f" } }, "ternary": { "aaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "baxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "bgcolor": "#E5ECF6", "caxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" } }, "title": { "x": 0.05 }, "xaxis": { "automargin": true, "gridcolor": "white", "linecolor": "white", "ticks": "", "title": { "standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 }, "yaxis": { "automargin": true, "gridcolor": "white", "linecolor": "white", "ticks": "", "title": { "standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 } } }, "title": { "text": "Diffusion. System snapshot at time t=5.999999999999995" }, "xaxis": { "anchor": "y", "autorange": true, "domain": [ 0, 1 ], "range": [ 0, 8 ], "title": { "text": "Bin number" }, "type": "linear" }, "yaxis": { "anchor": "x", "autorange": true, "domain": [ 0, 1 ], "range": [ 0.5394585259107283, 4.3808409632948315 ], "title": { "text": "concentration" }, "type": "linear" } } }, "image/png": "iVBORw0KGgoAAAANSUhEUgAAAx4AAAFoCAYAAADZ3i3LAAAgAElEQVR4XuydB7wVxfXHz+v9gWCL/hPsioox9oa9RxEbYkdBxYKJJhEpIhZANGgidgFRooIVUWPDiII9VkQSO7ZYEV7v7z9nln3cd9l77+7Zeu/+9vN5H/S9ObMz35mdnd/OzDl5neoiXCAAAiAAAiAAAiAAAiAAAiDgI4E8CA8f6SJrEAABEAABEAABEAABEAABTQDCAx0BBEAABEAABEAABEAABEDAdwIQHr4jxg1AAARAAARAAARAAARAAAQgPNAHQAAEQAAEQAAEQAAEQAAEfCcA4eE7YtwABEAABEAABEAABEAABEAAwgN9AARAAARAAARAAARAAARAwHcCEB6+I8YNQAAEQAAEQAAEQAAEQAAEIDzQB0AABEAABEAABEAABEAABHwnAOHhO2LcAARAAARAAARAAARAAARAAMIDfQAEQAAEQAAEQAAEQAAEQMB3AhAeviPGDUAABEAABEAABEAABEAABCA80AdAAARAAARAAARAAARAAAR8JwDh4Tti3AAEQAAEQAAEQAAEQAAEQADCA30ABEAABEAABEAABEAABEDAdwIQHr4jxg1AAARAAARAAARAAARAAAQgPNAHQAAEQAAEQAAEQAAEQAAEfCcA4eE7YtwABEAABEAABEAABEAABEAAwgN9AARAAARAAARAAARAAARAwHcCEB6+I8YNQAAEQAAEQAAEQAAEQAAEIDzQB0AABEAABEAABEAABEAABHwnAOHhO2LcAARAAARAAARAAARAAARAAMIDfQAEQAAEQAAEQAAEQAAEQMB3AhAeviPGDUAABEAABEAABEAABEAABCA80AdAAARAAARAAARAAARAAAR8JwDh4Tti3AAEQAAEQAAEQAAEQAAEQADCA30ABEAABEAABEAABEAABEDAdwIQHr4jxg1AAARAAARAAARAAARAAAQgPNAHQAAEQAAEQAAEQAAEQAAEfCcA4eE7YtwABEAABEAABEAABEAABEAAwgN9AARAAARAAARAAARAAARAwHcCEB6+I8YNQAAEQAAEQAAEQAAEQAAEIDzQB0AABEAABEAABEAABEAABHwnAOHhO2LcAARAAARAAARAAARAAARAAMIDfQAEQAAEQAAEQAAEQAAEQMB3AhAeviPGDUAABEAABEAABEAABEAABCA80AdAAARAAARAAARAAARAAAR8JxA74XHPg8/Q5Jvv7wJ7wxXn08H77Eypfu97C+AGIOATgetunU0z5zxND9wxnrbZYiOf7oJsQQAEQAAEQAAEQMAegawQHuYEyqpKI88/kU47/pA1/vTnK2+lp/71OpnCghM8++KbdNHlN3f7Xbrf20NoL5UpbIaccCj95dzB9owCTGXySr6lX5PWJR99QYPOHk9R5REget9u5YfwMPtx4nPlVQUk5T1g0MW0/rq96N6bxnYrhvmsH7b/rvTXced6VUTX+Zx8wdX03Q/L6fkHrnedl5lBuvGR0yxZMNPWvZLHgO233WwNrmZGXI93P/ikK990nLfZd0i3+6cas80xITFxqn6W/KEoXT1RL6Iw28uqrRLb2K93jK1Oj0QgAAKBE8gq4ZH8EjInF0wtefCyEh78u3c++HiNl36q33vZGlEWHubEIHmCwpM6niT5McmE8PCyd1nnJZnIZyoVhEcmQun/7qfwcDOB42edr0RBxOMCi7pkkcS/TxQl5rOcLFTM8Tnx40KqcdD8faIoMftvslAxx/bE+poT62QGqBdR2O3l55jh7mmENQiAQBgEslp4mMDMCXKmL3v8cuIr+etoqt+H0SBB39PqJZ5YBn5p8OSDt6N5eUF4eEkTwiP5mfafruwOURQeqQSqlXAwx4vksdZKOKRajbIac3hybLVqYgoK835mmaxWTZIn2KgXUdjtxU8JhIdsrIAVCOQqgZwQHlYvyOSXjilOEhuSX3S8AsJf9ZN/z9szUr04rSYPiasvZl6JX/pSvTDtbC9ItH1/6Wd6C5l5pdq2YLfDpnoxWdlbfT000yVPEPj3yVsszC+iVnXm9MlfTDNtD0jk8ozaRpe49cNcpUludydfhZNtk7/+mv3jdLXVj7fwmZfVFpVkFlb15d85ydNqi03i6lTiM3Dh2Bu79XMrDlZ9ODFdqi0TmbbL2dnGl2q7ULr+bfVMM0OepFoJ20QevM0v8Uq0MX9v9bWf/5aJU6pnL7k/m+mc9EmrvN2ubKUTQ8ljYKox0XzeTfGQ7sNC8liYTkwkT1rT1TV5LEO9Vo8nVsI8Uez51V7cLyA87L6NkQ4E4kEgJ4SHOWHjf81tAVYvqFQvolS/tys80m0TMCeCVi9XKzur3yVOdKy2IriZuJic7OyFtypb4kTMLJv5EkvMM1kcZlrxsNrmkfxFM5FL4oQ7caJr9ftMK2PmJMpqO0lincyJr1W65Mk4lz25nZLrY/ZjFsKZ7p1uu4lZv8TJfPK2lORzBmZaK+GS+DvJJILLut46a3U722RVfskEOtUzmk54mOLEHOITBUxi37DK22r7jxW7dOIj1RmPVAItOa9kMZZKtNkdF9JN0JP/lk54JP4t3fOd/Ld0wiP5b+n6SPLfUK/0wiOI9koUHsn92I8tvPGYtqGWIJDdBHJGeCR/cQ9SeKRaNeCXJl+8Tcnq5ZppK0Km7QWZJu92u6bVl9hUX3utypx8Ribd5JTbhQ/Xpyt7Op6JzgFSTVhS3d/upDndRMgsvykSrA42291OY/bRTJNdvpfVCp7VvRPLl2qSZsUh3VaXxImyXYaZ+p7Z/m6FtER4pDoPlixIk/thuj5rd7um3b6RiV+mv5vPtJ0V0XTbLZPLa7WymSjgEvuklbDWoi/JsYTVhwozz+RnMdXHD6tnBPVafajc6mNL8rPjR3ul6qdm22RaLc3Uz/F3EACB7CMA4aHazO2KhznBSzVZ526R/AJNN4lJntxl2qbl1eCdaitN4kvLajLLLyyrbWVc71RfXdPVP9Nk0pxMpeLi9PfJj23iVrB0X+XsroiZ+dvZcpTJS5NZd3MCmG6lyq7wyCS0El3ySoWH1fYk5pLYb4Ja8Ujuk6num/z7dHW366AiKOFhCmP+N5MHLbO/J49fZpsl/t78XfJ2QpNN4u9Nfsnjk9Wk0/xdslCyElDmCpXVCmLimIN6rX7vhNleqaZF6URs9k2lUGIQAAG7BHJGeCSfPwhyxSPxa1sieKutRpkmzWyf/FUvKOGR3GnMciRPbhO/jlt9tU8UWol5Jk5g0gkPq/MQifmYExmnAiPdBDud+Ej8m53VieTJZeKkO5OIsys8uExWK1V2VhCSJ9CZVqhYeCTHu3GyTcKcKCaWLdMZDLtxRzKJVDvCxq7wSLWlKVX/sBqE0wkP6VYrryZ2VmeyeLUreWXN6owWjxF89ix5rLD6mGGmtbNlzEyb3N+s+r6ZNvnrPupluC5PfjcF2V5WfTSTYxO7kxikAwEQyC4COSE87BwuNydqVvur3a54pJpg8GHnVEIjiiseVvWwWn5PFBs88fvdtptnjJWQfJYk04qHnTz9FB6pRFjil0O7Kx6pto5ZTXhT5WlnpcGcYJlfgqOw4uFENGfLiofdsxNOhYfXrw63X5SttsOlKqPZznYEaaqPFakmp1Yu0K3S2h2LUK/UMa2suPrVXhAeXj/xyA8EsoNATggP84tqpq/Jfh0u5wE0OUiZnQOUUTjjYVV2s+umEgeJe7L5q5nV1pXDD9htjWjZVnuKrbaJ2fW05ZfwSOVC2O5BW6t98VaC14nwSGZi1W52PQC5OePhZILJ/SiVYLLqW2ZaJxP7VGcrnKyo2F3x8OJMld0tWV68PlKd27Gbt5Oy2j3jwvdO3pqZqjxOBIKTvoN6GaulfNlxQ+1He/G90zkqsNtHkQ4EQCD7CGS18Ei1hYWbwYutVqny4JWMxG1D5pfFxAmTaWvHq5VVgK3EbQhOvhqbAzpPdO1M4NKdFUgVWJDvYU6Erc4YmHW3qkNiXdNtO0kVvIxt2H1tqgP7XDangiT5sTUnMYlltToAa3fFI7kvJPZP/u/EdkreMpg4eU/kacXHjoOFVGLAqs2sym1OHO14QeO0VtwSt+pYMXZyZimVaPBDeCS2W/I2Ie5zd6uYN5kmcnZWrpy8Rsx6WgXOsxoDzD6SaWXCakxLVS6rDz9Wac2ypouIbtqZz7CdfmbVd1OVFfUyJvzcNzJ59/OqvXisSrVVLlM/dPIsIC0IgEB2EMgq4WGFNJXXFi+ER+IE27w3D5Q8wUj+gp3oktNMmzgZyCQeEuuWKkJ7cl1TfYFNdfgyVZdMtXc93QQw0wTKar96qqBfZrkyxfHgdFYHXa0mgez9yu7vrbhYMUnmYVd4JAsN/n/Oi6/Eg9v8/6bwSI4tk9wnrPbZJx8OtrvVKnmyl8jDTryPTEIhuaxczhuvvlDvO0+2TT4TYMcrU/J+fztxPBLPkNhd8UjHif9mp6xWY4qdDwTpXidWY08qRxephEfy85puwp/MO137J5+vSDXRtOrPqbgk95F0Tj1QrzXPggXdXlbncbg/ZxI+2TGFQilBAAScEsgK4eG0UkjvPwEsk/vDGFz94YpcQQAEQAAEQAAEwicA4RF+G2RdCdL50s+6ykSswBAeEWsQFAcEQAAEQAAEQMAzAhAenqGMT0ZW5xDiU3t/awrh4S9f5A4CIAACIAACIBAeAQiP8NjjziAAAiAAAiAAAiAAAiAQGwIQHrFpalQUBEAABEAABEAABEAABMIjAOERHnvcGQRAAARAAARAAARAAARiQwDCIzZNjYqCAAiAAAiAAAiAAAiAQHgEIDzCY487gwAIgAAIgAAIgAAIgEBsCEB4xKapUVEQAAEQAAEQAAEQAAEQCI8AhEd47HFnEAABEAABEAABEAABEIgNAQiP2DQ1KgoCIAACIAACIAACIAAC4RGA8AiPPe4MAiAAAiAAAiAAAiAAArEhAOERm6ZGRUEABEAABEAABEAABEAgPAIQHuGxx51BAARAAARAAARAAARAIDYEIDxi09SoKAiAAAiAAAiAAAiAAAiERwDCIzz2uDMIgAAIgAAIgAAIgAAIxIYAhEdsmhoVBQEQAAEQAAEQAAEQAIHwCEB4hMcedwYBEAABEAABEAABEACB2BCA8IhNU6OiIAACIAACIAACIAACIBAeAQiP8NjjziAAAiAAAiAAAiAAAiAQGwIQHrFpalQUBEAABEAABEAABEAABMIjAOERHnvcGQRAAARAAARAAARAAARiQwDCIzZNjYqCAAiAAAiAAAiAAAiAQHgEIDzCY487gwAIgAAIgAAIgAAIgEBsCEB4xKapUVEQAAEQAAEQAAEQAAEQCI8AhEd47HFnEAABEAABEAABEAABEIgNAQiP2DQ1KgoCIAACIAACIAACIAAC4RGA8AiPPe4MAiAAAiAAAiAAAiAAArEhAOERm6ZGRUEABEAABEAABEAABEAgPAIQHuGxx51BAARAAARAAARAAARAIDYEIDxi09SoKAiAAAiAAAiAAAiAAAiERwDCIzz2uDMIgAAIgAAIgAAIgAAIxIYAhEdsmhoVBQEQAAEQAAEQAAEQAIHwCEB4hMcedwYBEAABEAABEAABEACB2BCA8IhNU6OiIAACIAACIAACIAACIBAeAQiP8NjjziAAAiAAAiAAAiAAAiAQGwIQHrFpalQUBEAABEAABEAABEAABMIjAOERHnvcGQRAAARAAARAAARAAARiQwDCIzZNjYqCAAiAAAiAAAiAAAiAQHgEIDzCY487gwAIgAAIgAAIgAAIgEBsCEB4xKapUVEQAAEQAAEQAAEQAAEQCI8AhEd47HFnEAABEAABEAABEAABEIgNAQiP2DQ1KgoCIAACIAACIAACIAAC4RGA8AiPPe4MAiAAAiAAAiAAAiAAArEhAOERm6ZGRUEABEAABEAABEAABEAgPAIQHuGxx51BAARAAARAAARAAARAIDYEIDxi09SoKAiAAAiAAAiAAAiAAAiERwDCIzz2uDMIgAAIgAAIgAAIgAAIxIYAhEdsmhoVBQEQAAEQAAEQAAEQAIHwCEB4hMcedwYBEAABEAABEAABEACB2BCA8PCgqb/9udGDXOKTRVVZoa5sbWNbfCrtQU3BTQYR3MBNRkBmhf4GbjICMiv0Nxk3ttqgd5ncGJZiAhAeYnSrDSE8nEHEQOmMl5ka3MBNRkBmhf4GbjICMiv0N3CTEZBbQXjI2bmxhPBwQ2+VLYSHM4h4wTjjBeEh4wVu4OaOgMwa4xu4yQjIrNDfZNzYCsJDzs6NJYSHG3oQHiJ6GChF2AjcwE1GQGaF/gZuMgIyK/Q3cJMRkFtBeMjZubGE8HBDD8JDRA8vGBE2CA8ZNnADNyEBmRnGN3CTEZBZob/JuGHFQ87NrSWEh1uCyh5brZxBxEDpjJeZGtzATUZAZoX+Bm4yAjIr9DdwkxGQW2HFQ87OjSWEhxt6WPEQ0cMLRoQNX+5l2MAN3IQEZGYY38BNRkBmhf4m44YVDzk3t5YQHm4JYsXDMUEMlI6RaYPqmp/0vzXVa8syiKkV+pus4cEN3GQEZFY8vuXV1dPKDfrIMoipFZ5TecMHseJx1JAx1LtXNc24fqS8oCFZLl76GQ0+90qafes46td3E89KAeHhAUpstXIGEQOlM16cOq++jtY78iCipib64fH51NG7t/NMYmqB/iZreHADNxkB51bdxrenFlBHjx7OM4mpBZ5TecN7ITzOvHgyvf720m6F6NWzihbOnap/F4bwmPv0IhpzzTSacOkwGnjoXmJAEB5idP4bQng4Y4yB0hkvTt3rtBOo9J+Pa8OW3fagnx9+gjpLSp1nFEML9DdZo4MbuMkIOLRqa6PeJx9LJc8/pw2b99mffp4zl6jQCDSLKz0BPKfyHuJWeGyz7xBKFBlmSViMrLf2WjRp9NmhCA85ke6WEB5ekfQhHwgPZ1AxUDrkNelKqppyDXVWVhJVVFLe999R44Cj6ZcZ9zrLKKap0d9kDQ9u4CYj4Myq50XnUfmsmcb4VlBIeStXUP2QYbTyrzc6yyimqfGcyhvejfBgcfHxZ193rWykKoW54sF/N1dGUomVxJWTxO1N/QeOoL126UeL3lhMy1fU6lsNP3UA/XrDdfXKhnmZNlaCIXllhu1HDD2GrFZsliyYqbOE8JD3Ld8tITycIcZAaZ9X2YP301rnDtUGjbMfos711qOyIw7TW6/qzv8j1Vwx0X5mMU2J/iZreHADNxkB+1b8QaVKfVjh1Y2GJ54iUqsf5QOP1P+uuOEWajh1iP3MYpoSz6m84d0ID17tGHDwHnpVI93FwuOTL77RQoEn+nyxkNh8k//rOvfBk/+fl9fQYzMn6L9Pnf4I3TZrHpkCgNOz4DCFhfn35C1dbMt5JAuGZJHEf7/hzgf1/flvF511fNcZDi5vqnzkpLtb4oyHByQhPJxBxEBpj1fpE49Rj8tHU8Gyz6l21DiisWO1Yfud06j6qssof8UKqhl3lRYguFITQH+T9Q5wAzcZAXtWFdNvp+orjDGNx7H8ERfo/+6cMoWqx42i9vXW1x9WGo8bbC/DmKbCcypveKnwMCf2ds5QWJ3xGDXxDvrwo2WWIsGsDYuNQUfup8WKueJhihyrlQjOk1dE+GxJ4t85Pz4gbqesnJZFzQOPv7BGPjhcLu9nriy5Yec9+8oaJ/whPJxhxUCZmVfxG69R9eWjqPjN16l+6DlUc+UkquyptiKoq7axjSpvuoGqr7yMOtZai2ouu4oaThmSOdOYpkB/kzU8uIGbjEBmq7KH5+jxq+Cbr6n20suo9s+jurm9rlYfXCpv/hu19vutFh/Ne++XOdOYpsBzKm/4KAgP8yC4VS3MVZJUwiNRTKQSDJ8u+1ZvxzJXT6zuY66oJP6N02OrlbxveWLJneOu2U/pJbNk12IQHs4QY6BMz6vwi8+U6BhNpU/Oo6YjB9LKKyZR+2/6rBGPovrqy6nyb9dR2yabUc3lV1PT7wc4a4iYpEZ/kzU0uIGbjEB6q5L5z6oV27FUtOQDqjt3BNWqDyedxcXdxrf8H3+gHmrVg7eaNh9wkBoDr6G2rfr6UZyszxPPqbwJpcKD7+hkq1WyO93EFQ9TeGQSBnzGI3nFwwvhwfXYdYe+Xdu+Erd5QXjI+5Ynltw4LDisfBpDeDhDjIEyNa+8hnotOiruulN7r6oZP5FadtpFGyRzy6+poaorx1LFzGnUsuPOVKu2KzTvubezxohBavQ3WSODG7jJCKS2Kv73G3qlo/iVhdQw+BS9xapj3fUsx7eiJYv1WFiy4HlqOPFUPRbCjfiabPGcynupG+GR6XA5i4tUXq2stlql2wrlZsWD6aTaamUleiA85P3JU0veo3fG4MNo0z4bQHh4QBYDZWqIVddNpKrJV1Pbxpvq7VVNhx3RldiKW8GXy/R5j7JHH9JfBmvGXU2t2/TzoJVyJwv0N1lbghu4yQhYWxV++rE+08FuwZsO/b0WHW1bbJV2fCv513yqHj+Kij5cQnV/+LPaVqoOouPqRgDPqbxDuBEefFcrd7rmZN48eJ7pjAfnY3qWSlz1YHGy6w5b6zgcboQHn83gMixfUdPlgcs8XM6HypNFCdeJL2y1kvcr15bc+N//9Itehkq17NTQ3O76PnHKoKggT1e3tb0zTtXOWNfCaXdQ0aiRpDw+UMs111LbsO7eMlJxy3/nHSoaO4oKnp9P7ScMpparJ1Lnr3+T8X5xSYD+JmtpcAM3GYE1rfJ++pGKxoymwrvvoo4996KWCZOoY7fduyVM1d8K751FRSMvobwVvxjj4gUXelWsnMgHz6m8GctLCuTGqyyt3NEmrl7YER6J4iOxQIleraRbrcxD4aZ3LTN/s4zm2WXz93yuxPSoha1WrruH8wxYuU65bU43lWi11WpFXYvzzGNsUVpsPOxNLRBsZjcoevJxKhtzKeV/+gk1jb6MmkYZ3l4Sr3TcChe8QGWXj6GCt9+i5rOGU9NVE6hTxfzARYT+JusF4AZuMgJJVso1Lo9NJTf+jdq33oaarpxArYcc5mh8K/nbFCq7bDR1bLghNV19DbUcN8iTouVCJnhO5a3Ys7JYbgxLMQG4002Dzo63ATbHGQ9n/Q9Lw915Fb/1puHB6rVXqP6Ms7QXl87yijWgZuJWNu9RdebjMuLD6bV/utRwwYtrjbMxQGKPQKb+Zi+X+KUCt+5tXnX9ZKqaeAW1/2oDvVWqcdBJlp0iLbeODj1GVt46lVq338HwdIXzbJoj+pt8jHG71Up+53hbQng4aP9Uy04QHg4gYqDsBkuf0Rg/mlg0sFcqfqG2bbSJ8xfzKovyWXepw5tjKa+uTnuLqTsP2xLwYnb2fJqpwQ3cZARWW1XMuEMfJueAgHymo/7s81Jmmam/FXz3P33YnF3xNh10qD4D17b5lm6LmPX2mbhlfQV9rACEh49w02QN4eGAO4SHA1hpkmKgNODkNTcZHqym3UYtO++qRMckatllN/GL2TSsnHq9EeOj99r6Zd9w0mneNFyW5oL+Jms4cAM3GQHDquzRB/Vh8oKvv6LaS8bon3SXnf5WtPg9HVywZOECHbtIe7rq2dNNMbPe1g63rK+kTxWA8PAJbIZsITw84I4VD2cQMVAavLq2IPTZWPmpn0hNRxzl+sVsZsDCo/LGKdS22RZafDQdfqSzRsqh1OhvssYEN3CTESDS3qjUymvRB+9T/Tnn6zGos6TUk/GN44D0UNuuCv+7lGovHkm1oy+XFjMn7PCcypsRwkPOzo0lhIcbeqtsITycQcRASVQ+a6Z2E5nX0qq3V9Wf2d2DlRVRJ9zyV6zQL/7ye2boOCAcYLBl972cNVSOpHbCLUeq7Ek1wE2GMe7cit/+tz5rVrLoRWo44WQdX6h9vfUzwnTCrfy+e/QW1by6emP8POvcjPnnagIn3HKVgbReEB5Scu7sIDzc8dPWEB7OIMZ9oCx99im9xarw4/9S7V9GU+3INT1YuRUebF+w7HO95arssUeo6cBD1ARAxfhQXmXidsW9v0nbG9xk5OLMrfCzT/SYU/rEY9R08GE6rpDdiONOuVX+7Tqqvvpyaleuw3nLVeNRx8gaLMutnHLL8up6WnwID09x2s4MwsM2qtQJITycQYzzQFn07tvUQ+1R1pF7TzuTVqoDkp2VVbYASrgVvfeOngiUvPgvajxusN7y0L7BhrbulyuJJNxype5u6gFuMnpx5Za/fLmxyvqPmdSy6+7Kg9VV1LLbHrYhOuWW19qqVz0qbr+ZWnbcWa98tOy2p+375UpCp9xypd5e1APCwwuKzvOA8HDObA0LCA9nEOM6UBZ887XhwUpFGdeRe9kryyab2YYn5Vay4HktPoref5fqhw039ltbuOu1XZAsSyjllmXV9Ly44CZDGktu7O6Wz5XddAO1bdnXOFd2yOGOAEq4FXz7jXazKx1THRUwookl3CJalcCLBeEROHJ9QwgPD7hDeDiDGMeB0ouvc264lc19mKqvukxtv/rC0fYuZy0bzdRuuEWzRsGUCtxknOPIrWvbkzrLwWc6+GyH00vKjVeReetqycsvGavIHAepqtrp7bM2vZRb1lbYw4JDeHgI00FWEB4OYKVKCuHhDGIcB8pu+5GV29zGAUc7g6ZSu+VWcfd0dehTxfhobNR7r+uHX+C4DNlo4JZbNtbZizKDm4xi3LhVzJxmjCtNzUasDuG44oab9NycrIWjZeWGW7RqEnxpcll4bLPvENpsow3psZkTggeb4Y4QHh40CYSHM4hxGyi7eWBR26t4u5Pk8oJb5d//qlY+xlHHuusZMT4GnyIpSlbZeMEtqyrsUWHBTQYyTtx4i5NeSVWBUJ04yrAi65Ybny3hbVdOPAXKWjhaVm65Ras2wZYmV4XH1OmP0PyFb9HyFTV0y6SLqF9f66DEwdJefTcIDw/IQ3g4gxingVL7nFduc9Jqpm8AACAASURBVAv/497nvCfcOjuNvdgqyGDbFlsZe7HVeZNcvjzhlsuAUtQN3GSNHhdu+uyYChDIQf3Yna0+O1ZWLoOmrLzg5jQ2kriwETL0gluEqhNoUXJVeBw1ZAwd2H9HemfJx7Te2mvRpNGZ3fUHCR7CwwPaEB7OIMZloOwWZfdUjrI7iTp69HAGKyG1V9y095mrlPcZFUuEI6Xztisn3mfEFQjJ0CtuIRU/tNuCmwx9HLjpcxXsLe+lF6jx+BMNb3m/2kAGbJWVF9zyWpp1ZPOKabcZY5tys8v/5vLlBbdc5pOubp4Ijy++IOKfoK+NNiLin6Rr8dLPaPC5V9LsW8fRp8u+pSm3zaGFc6cGXbq094Pw8KA5IDycQYzDQFnw3f/0gceyh+cY/uzVgce2zbd0BioptZfcCj//1PC3//hcx/72XVUiBGMvuYVQ/NBuCW4y9LnOrfCLz3SAwLJ5j1LTQYcasTr6bi2DlWDlFbeCr740vAdy/KLfD9Auy9v7bOy6fFHNwCtuUa2fn+XyRHhccQXR+PF+FtM6b77n5Zev8Tdzm5V5toPPerAIidJ2KwgPD7oLhIcziDk/ULJrSfXiq7zlRmrdfgf94mvZo78zSBapveZW9M5bxlfLhQuocdBJxlfL9X/lupxRy8BrblGrn1/lATcZ2Vzmlr9ihdpeNUatlt5FLTvvqseMlt33koHy8cNK8Vtv6g8/xa+9TPVnnKU//OSqC/Fc7m+edKw0mXgiPGbOJLr7br+Lumb+p59ONGTIGr83t1mNGGoE1Dzz4smR224F4eFBd4HwcAYx1wdKPj/Be5/bN/w/I6Lu0cc5A5QitR/cSl6Yb8T44H3aZ59n7NMuLfOkvFHJxA9uUambn+UANxndXObG45o+H6ZWb/X5sMOOkEEK4MNK6dNP6m1XHE29duRYffg9F69c7m9+t5cnwsPvQjrI39xmlWzSq2dVpLZbQXg4aNRUSSE8nEHM5YGyfM69+ktb3soVWnTUn3O+MzhpUvvFrezRB7X44C0KtZeM0T+5dPnFLZcYWdUF3GQtnKvcKm+coseJjnXWNTzinXiqDFCAH1bK75lBPdR4TMqpBq961J8+1NMyRyGzXO1vQbDNNeGRvM3KZMjbrSZcOowGHurN6qTbtoHwcEtQ2UN4OIOYqwOlXj1QW6yKlnxAdX/8C9WMVXs/Pbz85FZx1516UkEtLVRzuYrxoVY/cuXyk1uuMILw8K4lc7G/8QS+mmN1NDRQ7WVXUd25I7wDtionv7hVXTeRqiarcyibbKbFh5erNJ5DEGToFzdBUbLOJNeER/+BI2jQkfuRuc3KbBDebsXXjOtHRqKNIDw8aAYID2cQc3GgZLHBPuTZxWTDSaepF5zyYLXWWs7AZEjtN7fKG66l6gnj9TkP/qLJ5z5y4fKbWy4wgvDwrhVzrb/xIW29Irrsc6r906VUO2qcd7AScvKLW15jg16Frphxh/Let6cWHy077uxLHcLI1C9uYdQl6HvmmvAImp/0fhAeUnIJdhAeziDm2kCZ/+MPejm/7IH7qPnAg2mlEh1tW/Z1BsVGat+5tbcbMT5u/hu1bdVXe6thj1zZfvnOLdsBpSg/uMkaNpe4sbtcHavjvXeofug5xhmwikoZmBA/rBQs+0KN0aOo9InHqHHA0XobbPtv+vhSj6AzzaX+FjQ7CI+giRv3g/DwgDuEhzOIuTZQVo8fQ5U33UCt222vv6Y199/XGRCbqYPglv/zz3pLRfm9d+vYHjVqW0XLrrvbLGE0kwXBLZo1d1cqcJPxyxVuRe+/a3i9U6u4jceeYHi9Uw4z/Lr85lb85ut6Vbr4jdeofthww9NVSalf1QksX7+5BVaREG4E4RECdAgPb6BDeDjjmEsDZeUtf9fL+O3rrU81ym1u4zGDnMFwkDooboWffmzE+HhyHjUdcrg+88FRzrP1CopbtvJJVW5wk7VoLnDjFYLqq1SsjrkP61XcmsuuptZttpUBsWkVBDce03i85lgktaMvp9qLo7Hn3SYiy2RBcHNTvijbQniE0zpY8fCAO4SHM4i5MlCWPTRbv8QK1FYrPtPhx4HLRLJBcmM/+BwkrOTll6hh8Cn6a2fHuus5a+iIpA6SW0Sq7EkxwE2GMdu55a9cqZ79sVRx93Rq2WkXI1aHB3GIMtEMilvFzGnazW5nUaHacjWJGk4dkqlokf57UNwiDUFYOAgPITiXZhAeLgGyOYSHM4i5MFDqvc9KdHD8i7oRF+tVAb+voLmVPP+c3nZVtGQx1Q+/wNjfXVzidzU9zz9obp5XIKQMwU0GPtu5VV81jir//ldq23RzI1aHiv4dxBUkt6prJxD/6Hgk7Okqi8+yBcktiH4Q5D0gPIKkvfpekRQe7BJs+YpaSyJLFswMh1Sau0J4OGuSbB8oC5d+SD3GKw9WamKuVwPUi6uj99rOIAhSh8Gt7JEHDI82X3+VtUG4wuAmaN7ImYCbrEmymRufVePD5B29ehuxOk5W0ZEDuoLklldfp1c9eFWnec+99Rjeuv0OAdXU29sEyc3bkoefG4RHOG0QOeHB4d5796qOjL9hO80C4WGH0uo02TxQ6sPXKlZH+f2zqHn/A/VSfevW2zgDIEwdFreK6bcbMT46OvRkpP6sc4U1CMcsLG7h1Na7u4KbjGW2ciufNVOd6xhL+TU1+jmvO+8PMgBCq6C5FX7+qV61Lv3n49R49HGGpysfD88LsWQ0C5pbxgJlUQIIj3AaK3LCI2oRFu00C4SHHUq5ITzMbQit2/TTh8mb99nfWeVdpA7zBVM15RqqmnQltf9qA72trPG4wS5qEqxpmNyCram3dwM3Gc9s5Fb6+Fz9cYEn43zgmg9eB32Fwa34tVf0h6Tif79B9eecr8VHZ1FR0FV3db8wuLkqcISMITzCaQwIDw+4Q3g4g5itA2XFbTepLVaj9TaElWppvvH4E51V3GXqMLnltbZSlfJyU3nLjXqFp5ZjfBx4iMsaBWMeJrdgaujPXcBNxjXbuJUsXKBFR9E7b1H9GWcZZ7mqqmWVd2EVFjcWXRzjo+DLZcp715VU94c/u6hF8KZhcQu+pt7fEcLDe6Z2coyc8OCtVgf233GNkO92KhNWGggPZ+SzcaAse/RBw4PVt9/o/cB15//RWaU9SB02t/yfftQTlPL77qGW3fcyvN3svKsHNfM3i7C5+Vs7/3IHNxnbbOJW9MH7+kxHyQvz1Xaj441YHb/+jaziLq3C5Ka3k6rxvbO8TK96NJx0msvaBGceJrfgaunPnSA8/OGaKdfICY+5Ty+iKbfNoYVzp2Yqe2T+DuHhrCmybaBkl7Lag9W7b2vBwcIjjCsK3Ao//q/aBz5O74tuOuwIPVFhzzBRvqLALcp8UpUN3GStli3cCr76Un9I4I8q+ryaWsVs3XY7WaU9sAqbG28l5S2lbVv1pZXq7B7HL8mGK2xu2cAoVRkhPMJpvcgJDz7jke6CV6twOoqXd82mgbLwo/8YBxCfe1pvrVqpznV0rLOulzhs5xUVbjoCsJqwFL+6SH8Z1DE+1l7Hdj2CThgVbkHX2+39wE1GMBu45dXW6Ge44q47qWWHndTWyauoea99ZBX2yCpsbnyoniObl8+6i5r33s/wdNXvtx7Vzr9swubmX838zxnCw3/GVneInPAIB4O7u2LFwxm/bBko81esMDxY/WOmPkTOh8n5UHlYV5S4lc5/RgcZK/pwifJ+cyHVXqb2hUf0UGaUuIXVdyT3BTcJNaJs4FY9YTxV3nAttW2ymRGr44ijZJX10CoK3Ao//Vi72S195p/UeOwJWny0r/8rD2vpfVZR4OZ9rYLJEcIjGM7Jd4Hw8IA7hIcziNkyUFZNvIKqrp+sD1Oz21zejhDmFTVuOnI7x/hQ515qR42j2j9dGiaelPeOGrdIQrIoFLjJWirq3Cpv/pt+bjt69FCHqa+OTOTuqHDjldweSnzwYXv+qMJnPig/X9YZArCKCrcAqur5LSA8PEdqK8NICg8+5zHmmmndKjDh0mE08NC9bFUq6EQQHs6IZ8NAWXHnrcZhw6oqvdLRcMLJzirpQ+oocquYdpsR4yMvz4jxMfQcH2ruLssocnNXo2CswU3GOcrcyu+9Wz+v+b8sN2J1XHCRrJI+WEWJW9nch/VqNwdOrRk/IVKcktFHiZsP3cLXLCE8fMWbMvPICY+p0x+h22bNo9m3jqN+fTfRBV+89DMafO6VNPzUAZH0dgXh4azzRn2gLHvsEeOlow5fcsyKuhEXO6ugT6mjyq3quolUNflqHXxLx/g4ZpBPBGTZRpWbrDbBWYGbjHVUuZU+Oc+I1aG2E9X98S9UM/YKWQV9sooaN+Pj0yjqrFYrQ2rLVRQ+Plmhjxo3n7qHL9lCePiCNWOmkRMe/QeOoEFH7reGwGBB8sDjL0TS2xWER8Z+1i1BlAfK4tde1isdxW+9SXXnjlAvnEmRWWaPKre8lmbjoKqKc6IDKyrvOM0HHOSsU/iYOqrcfKyyJ1mDmwxjFLmxZ74qdgihxrX6IcN0HJ6O6uBjdaQjGkVu5lmY1m221VuumvcLd7sthIfsmUxlBeHhLU+7uUVOeKSKXG5uv4JXK7tNG910UXzBMC19sJA9WD39ZCQPFkaVG7PL/+F7I8bH7H9Q8557ay85LTvuHIlOGGVukQCUohDgJmudqHErWrJYPZsqVsfzz1HjwGPVuQ4Vq6PPRrLK+WgVNW56XGMHI+zpSm1RY9HB4oNFSJSuKHKLEp90ZYHwCKelIic8sOIRTkcI8q5RHCjZvWQPJTrK75lBzf33NVwpbrd9kFgy3iuK3BILrV0PK/HBwq3p9wOMGB+bbp6xXn4niDo3v+svzR/cZOSixK3gm691gMCyRx6g5n0P0M9k1MY1k3KUuK0xrpku1QedRCvVuyEsl+pWPTKq3GRPT7BWEB7B8jbvFjnhgTMe4XSEIO8axYGSzyjwWYW2LVXwKLW9KorBo6LILbnfFL/+qgowqLZ0vPYKNZx8uhHjo/faQXavNe6VDdxCBZTi5uAma5WocMurrzO2QKqo3K3b76CfRY5PEdUrKtys+JQsetEIIvveO/qgOR84j8oVZW5RYZSqHBAe4bRQ5IQHY4BXq3A6Q1B3jdpAWTHjDsODVVmpXkrnoHhRvKLGLRWj0mef0ls7Cv+z1Ij0riY8VFAQGtJs4RYaIAgPT9FHpb91ReLeaBO99bFxwNGe1tPrzKLCLVW9OMI7x/go+O5/+uwfu9qNwhV1blFgBOERrVaIpPCIFqLMpcHh8syMElNEaaAsfeIxvcWqYNnn2ssLe3uJ6hUlbpkYlT1wnxHjg1/SY8ZT3UWXZDLx7e/ZxM03CIKMwU0ATZlEgVvlLTdSlVp57KyoUJ7mJqhYHWfIKhOgVRS4ZaouO9DooTwetqtVXN6O23jc4Ewmvv89G7j5DkF4A6x4CMG5NIPwyABw1MQ7aN6zr3RLlXzAHcLDWS+MykBZ/MZr2m0u/1t/zvl6tSOq0beZcFS42W3tijtuMWJ8qIjmOsbHGWfZNfU0XbZx87TyLjIDNxm8sLmV33ePEavjpx+NWB0X/klWkYCtwuZmt7rMtvLGKdTa77dafIS9fS1buNnlG2Q6CI8gaa++V2SEB3uz4jgdHMMj3RW0V6ujhoyhq0cO7YopYuXWF8LDWeeNwkBZ+MVnhgcr5du+8ejjtOjgOBRRvqLAzSmfqmsnEP+0//o3ehLUePTxTrNwnT4bubmutAcZgJsMYpjcSp96wojV8fF/teDQ2xyz5AqTmxNE+T//rD9Yld8/S58FXDl+ErVt1ddJFp6mzRZunlbao8wgPDwC6TCbyAgPh+UOLbkZzDAxwCGEh7PmCHugzGuo16Kj4q47qWWP/rRSRSbnw5dRv8LmJuGT19RoHHBVqx+t226nAwwG7Qs/G7lJWHttA24yomFxK351kX7Wit98nRpOO1PH0+no2VNWiRCswuImqSqfX+tx+aXaRXHDiafqD1cdvXtLsnJtk03cXFfW4wwgPDwGajO7yAmPVHE8ohJA8MyLJ9PHn33dLZAhhIfN3rYqWdgDpRlpu23zLfVSedPBhzmrQEipw+YmrTaf8+AJEZ/70K6K2aXn73aUZufYLlu5Oa6oxwbgJgMaBreiD5eoAIFjqXT+M9R41DH6GWvvs7GsAiFZhcHNTVVLXnpBHzYv+uB9qvvDn1V8lCvdZCe2zTZu4or6YAjh4QNUG1lmjfAIO4AgxxdZvqJWI03e7tXc2mEDNZKYBArz8/R/tnV0Bg6l4M47qPBSddBZeVlqm3wdtZ9xZuBlkN4wTG7SMpt2eWpiVDhmFOU/+SR1HH0MtU2cRJ2bbuY2W1v22czNVgV9SgRuMrBBc8tTsToKR6tn6/77qGP//altgnq2dtxJVvgQrYLm5kVVmTm/T/J+/NF4n4wI3tNVNnLzgr0XeZQU5XuRDfJwSCBrhAcf8l70xuJuKw0O6+pJcjPOSKL4+Lmm2ZO845JJWYnhWrWxuT3QKhc/+TiVX6bcIX76CTVcNp4a/3xpoPd3e7OwuLktt2lf+OorVDF+DBW+9io1n34G1Stf+J29enmVfcp8sp2b74BS3ADcZOSD5JbX2EDll6uVjttvobbf/o4arriaWvc7QFbwkK2C5OZlVUtv+jtVjL2UOn61ATVcrWJAHTvIy+wz5pWt3DJWLIAEvatLArgLbpFMIBLCwypuh1VTTbh0GA08dK/QW5G3g+GMh7wZwlgaLn7rTX2uo/i1l6l+2HCqUec6Oouza9AJg5u8la0tOaq5PvyqopzrQFx8+DXf369OucDN63awkx+42aG0ZpoguZmBT9v7bKS2+ijnDQOPlRU6AlZBcvO6utXqg0rlTTcYgRrZ09Wee3t9i5T5ZTO3wCCluBG2WoXTApEQHolVT3XGIxw8RLzFauHcqV23t1p5wRkPZ60T9EBZ8OUy7YWkbN6jxv5n9mClvCxl2xU0N7/4lM/+h+Hu84fv9b5o3h/t55Ur3PxkZJU3uMmIB8WNY0rwc8SBT2vVQfL604fKChwRq6C4+VFddl3cQ5334HNsTQcdqj9s8RnCIK5s5hYEn3T3gPAIpwUiJzzCwZD6ruxO95MvvumWAHE83LVSkANlXnOT4cFq2m3Ustue+mtUy447u6tASNZBcvO7ikFOmnKJm9/tkpg/uMloB8Gtm3iPeOBTuxSD4Ga3LJJ0RUs+0B+4Sl6YTw2nDDE8XQXgVSzbuUlYe2UD4eEVSWf5QHg442WZGiseziAGOVBWXT+ZqiZeQW2bbKa/QjUd+ntnhY1Q6iC5BVHtoLaJ5Bq3INqG7wFuMtJ+cwtju6KMhDMrv7k5K40sNYsOFh8sQmovHkm1oy+XZeTAKhe4Oaiup0khPDzFaTuzyAkPM05GqhoEHUDQDkkIDzuUVqcJaqAsnzVTvQRGUZ7ynrVSrXSwb/tsvoLiFhQjPhirY3zceSu1bre9Pu/RvK/3B2NzjVtQ7QNuMtJ+cit+7RWqvkrF6nj9VWo4VX1Vv0zF6gjAQYOMhDMrP7k5K4m71Lzdirdd5dXU6I9dfKbQzytXuPnJKFXeEB5hUCeKnPDgMxV77dKPdt1ha5py25yu8xW85enA/jvSiKHHhEMqzV0hPJw1SRADZemzT+ktVhzBt3bkWKr9y2hnhYxg6iC4BV3tgm+/MWJ8PDSbmvfZ34jxobzzeHnlIjcv+aTKC9xklP3ixkHrqjlWhxrbmo4cqJ+Vto03lRUyglZ+cQujqnzQnA+c81lC3nLFZwv9unKJm1+MIDyCJpv+fpETHubh8k37bEDnjbqhS3iw56tEIRIljBAezlrD74Gy6N239Ren4lcWUv2ZZ+tzHZ1l5c4KGcHUfnMLq8p+Bz/LVW5+txe4yQj7wS3sIJwyEs6s/ODmrAQepu7sVB++RlHlLTfqM4X6bKE6Y+jHlVPc/ACUJk+seAQMfNXtIis82G0uixBza1XYAQTTNQ+Eh7PO6+dAWaCCaWkPVo8+RE1HHKW2WE1SEXw3clbAiKb2k1vYVS5+dZFe+Sh+83W9Ja5Geenx6mBmLnPzs93ATUbXa27aQcYVY6nijluoddvt9LPRvP+BssJF2MprbmFXteD77/SqO6/m8tlC7elKnTX0+so1bl7zSZcfhEeQtFffK3LCg7dUbb1FH5o0+mxK/O+oBBC0aiYID2ed16+BMq+1VYuOittvppZddlNfmSZRy867OitchFP7xS0qVS596gkjxofaHld34Z+MGB8eXLnOzQNEllmAm4ys19yqrp1A/KO37ahnovHo42UFi7iV19yiUN2iD96narX6XvLSC/qDCp817Kyq9rRoucjNU0BpMoPwCIp09/tETngkY+BVD/NKDNoXDi7ru0J4OGsNvwbKyr//VR28HEdtG22il7abfj/AWcEintovblGqdvl99xgxPpRffJ5ksQBxe8WBm1tGVvbgJqPqJTde5eDngYqK9PNQf8ZZskJlgZWX3KJU3ZLnn6Mel19KfEaHzxrymUMvr1zl5iWjVHlBeARBec17RF54hIPF2V0hPJzx8mOg1BNWtdqR19SsRUcuvqD94Oas5YJJzfuiq5Tnns7KSr2tpOHUM1zdOC7cXEGyMAY3GVGvuLF3JBYdfL6jZsx4qrvoElmBssTKK25RrG75/bOM91NDo+HpykMBmcvc/G5LCA+/CVvnHznhEbXI5XaaBcLDDqXVabweKEvmP0s9lNtc/UXpkjH6Jxcvr7lFmVHVpCupaso1evWqlreXDDhaXNw4cRNDgvDwDJ0X/U175VMerHhMqzvvD8a2w8JCz8oYxYy84BbFepllqrxxihaS7X021luu+AyiF1euc/OCUao8IDz8pJs6bwgPD7hDeDiD6OVAWbT4PWMP7cIFVH/6UP01qbOi0lmBsiS1l9yiXuW8+jojxsf026l1+x2MGB977ycqdpy4iQClMAI3GU233IrfeM1wtPDay9Rw8um673f0XltWmCyycsst8lVta1MfyNQZxNtuMs4gKje7/K/bK+e5uQWUxh7Cw0e4abKOnPCIcryOVBwhPJx1Xq8GSu1ikr2GPDyHmg4/Um+xyiW/9slUveLmrLXCS13w9Vf6zA63LwcW1DE+VKBBp1fcuDnlkyo9uMlIuuFW+NF/tOjg6OR8Rk3H6th0c1lBsszKDbdsqWrB/77VH8rKHn1Qt+9K9aGMV0DcXHHg5oZPOlsID7/Ips83csKDI5cnxu8IB4uzu0J4OOPlyUDZ0aH3zGo/6TvtYnw92m0PZwXJstSecMuyOhctWay3nPABzcajj1ORmq+i9t/0cVSLOHJzBChFYnCTUZRyy//hey06ymf/g5r33FtvMeQYEHG5pNyyjU/Re+/oD2Yli17UZz10nKnyCnE14sJNDCiNIYSHH1Qz5xk54ZHoxcqq+GZcj8xVCy4FhIcz1l4MlF2RYdUklGN1cCTfXL+84JaNjEpefomqeOvJW29S/ZBhakKmYnxU23dJGVdubtsa3GQEJdzyWpqNrYVqG07rNv2MWB0HHCQrQJZaSbhlaVWp9LmntfjgFS72csXerqRXnLhJGaWyg/Dwmqi9/CInPOwVO1qpIDyctYfbgbJ8zr160M6rrTU8hAw9x1kBsjS1W25ZWm1d7NIn5xkxPj79mOr++BeqGXuF7erEmZttSBYJwU1GT8Kt6rqJVDX5amrf8P+MWB3HniC7eRZbSbhlcXWp/N67dXTzvLZ2veWK43xIrrhxkzCC8PCSmvu8Iic8Unm1mjr9EXrg8Rdo4dyp7mvtcQ4QHs6AuhkoS16Yr7dYFS35gGr/dCnVjhrn7OZZnNoNtyyudlfR9YuaY3z8styI8XHBRbaqFXdutiBBeEgxrWHntL9VTLvNiNWRl2fE6ojJh5RkcE65edZgIWZUecO1VD1hvI5ormNPHXaE49LEkZtjSCkMsOLhFUln+WSN8Jj79CIac800wlYrZw0cxdTSgZLFBn8hKlnwvI7twJHJnWy5iSILJ2WScnNyj6inrbz5b3qS1tGjhxHj45QhGYsMbhkRWSYAN/+5lT0024jV8e03+iMKf0yJ6xXH/pbX0qLfaRV33qrOKO6pxYfTcz1x5ObVMwLh4RVJZ/lkjfAYNfEOWvTGYqx4OGvfSKaWDJT5P/6gor8qD1YqqFbTIYcbHqw22yKS9fOrUBJufpUlzHz5CyF/KdRfCdUX4kz+8MFN1lrg5i+30vnPqLNLY6nowyUqVseFVKscJ3SqCOVxveLa37T3PrWKXzb3YR2viD+otf/6N7a7QVy52QaUJiGEhxcUnecRCeFhrmZkKv6ES4fRwEP3ypQs8L9jq5Uz5JKBsnr8GOID5a2/21Hvh23ZPXr9wBkF56kl3JzfJfoWebU1xkHcu+6klh120t5/mvfaJ2XBwU3WpuDmH7fiN183YnW8uogaTjzViNWxzrqyG+aIVZz7W9E7b1EP5WaX+0P9sOGGp6uSUlstG2dutgBBeLjF5Ll9JIRHYq0QudzzNo5chk4Hyspb/q4Pk+uDl8ptbuPAYyNXpyAK5JRbEGUK6x4FX32pJ27sD795/wP1tqvWbbezLA64yVoJ3PzhVvjJR0asjn8+rvf061gdm28pu1kOWcW9v5U+808d44MdaNSOvpxqLx5pq3Xjzs0WpBSJsOLhhp7cNnLCQ16V8Cyx4uGMvZOBUu+BVqJDHyhWoqP+7POc3SyHUjvhlkPVTlmVog/ep+orVIwP5XCg8ejj9QTOaosCuMl6A7h5zy3/px+NWB333aNXbbnPtuy8q+xGOWaF/kZUPusufeZDOxoYrzxdnTokYyuDW0ZEKRNAeMjZubGE8HBDb5UthIcziHYHypKXXtCio2jxe1R30SVUM2a8sxvlWGq73HKs2mmrU7JwgZ7I8VaF+jPP1hO5zsqqJG73uQAAIABJREFUbjbgJusR4OYtt7zWVqq66jId9LR16210PJqmAw+R3SQHrdDfjEat+uskqrrGWAXTnq4OPixta4Ob/GGA8JCzc2MZSeHRf+AIWr6i1rJe8GrlprmjYWtnoCz8z1J1mPxSHbG64eTTDQ9WPXtGowIhlcIOt5CKFuptSx+fa8T4+PxTvT2BtykkXuAmax5w85Zb1ZRrqGrSldS+wYZGrI7jBstukKNW6G9Gw+Y1NeoPbhXTb9cR7Fl8tG6/Q8pWBzf5AwHhIWfnxjJywuOoIWOod69qmnG9vf2NbirvlS1WPJyRzDRQ5v/8s/byUX7/LP1FkIMEtm2xlbOb5GDqTNxysMq2q1Q+ayZVXzWW8mtqjBgf5/2hyxbcbGOEYJOhysitYsYdRqyO9nYjVsdZ53pwp9zKAs/p6vYs+HKZ+vA2ivijSuPRxxmerpRgtbrATf4cQHjI2bmxjJzwwOFyN82ZHbaZBsrqq8ZR5d//Sq2//Z3+2pPOY1F21NibUmbi5s1dsjcX9nqmY3ys1UtP7niljC9wk7UpuHnDreyRB4xYHcptau3IsVT7l9GyjHPcCv2tewMX//sN/QGu+LVXqP6c8/UZRyt3y+AmfzAgPOTs3FhCeLiht8oWKx7OIKYbKCtuu4l6qMG2XbmW5JUOPjSMyyCAF0zmnmCKVo7xomN8HH4kuGXGZpkC/U0GLpEbbxWt5lgdSxZT/fALjDNIxSWyjHPcCv1tzQZmz2e87Yq3kdZcdiXV/eHPayQCN/mDAeEhZ+fGMnLCg7daHdh/Rxox9Bg39QrUFsLDGe5UAyW7RuVBtuD772ilWlrmFzWu1QTwgsncG/JXrtRB2Srunk4tO+2iJ3olB+ynDWsb2zJngBRdBNDfZJ3B5Na86FXVFy+jkpdfoobBpxixOtZdT5ZpDKzQ36wbmccydrPbWVKsVz0aTjqtW0Jwkz8cEB5ydm4sIyc8OJjglNvmRDJCeSrQEB7OuqDVQMkvZ+3B6t23qe7CP+mXNK7uBPCCsdcjCpZ9oc57qBgfKhJw84EHU9sE5Zhg234QHvbwQXg45JScnJ/T/I8/poIxao/+k/Oo6ZDDjVgdW/Z1mXNum2N8S92+VddOIP5p26ovrVRudnlcMy9wkz8XEB5ydm4sIyc8+IxHugterdw0dzRskwfKwo//q7/olD73tBHFV33V6ejdOxqFjVAp8IKx3xhF77+r99WXLHieWgcNpuarJlJN7/XtZ4CU2KIm7APVDSuo5LIxVHT3XdSy2x5qi4yK1bHr7sLc4mOG8S11W+c11Ot3ZMXMadS8936Gp6t+v9UG4CZ/RiA85OzcWEZOeLipTFi2WPFwRr7bQNnWRr1OO4FKn31K+y3/cf5C6qyodJZhTFLjBeOsoVnQrn3UoZT/w/fUdvQx9ONN09R2hVJnmcQ4Nfqb88bPa26itcf8mYpmztDj2I9PL6C2vls7zyiGFuhv6Rs9r75Oj2e8K4Dd7P788BNEhYUQHi6eFQgPF/BcmEJ4uIBnmkJ4OIOY+IIxDwPzCsdP/JLeeFNnmcUoNV7MzhubPcL0HjyQ8urqqP03fWjFDTdT8z77O88ohhbob84anftaz4vOJxa8PCH8ec5c9DUHCNHfMsPijyjr7rub/pjCUc1X3HALhEdmbClTQHi4gOfCNJLCgw+Yf/LFN7paEy4dRgMP3Yt4C9auO/SNZHwPCA9nPdB8wbTPuIt6jjjHeEmrrzf8FQdXagJ4Mct6R8+l71Hp+cMp//33dAaNx59IK6++Ftv5MuBEf7PX37RDA3WmiLfB8NWxxZbUdPs0WtFvR3sZIJUmgP5mryPwigevfPAKyMprrqf8EYYTFjjPsMcvMRWEh3NmXlhETngkBhDkCOZ/Gn6CFh5Tpz9CDzz+QiQPnUN4OOuK/IIpfORhKh49Uvu25/2qiQHfnOUWn9R4Mcvamrnl/fgDdUybTuX/uJsKv/hM749uOGWI+jkd269SYEV/y9DfOjqo/N67VZ+aScVvvUntG/6fjh2TN2wYdW64ISaCDh9X9Df7wHRASuWMpbOiglomTabWk05Bf7OPryslhIcAmgcmkRMevLIx+9Zx1K/vJpQoPNjb1ZhrphEOl3vQ6iFn0fPt16hkzKVU8OYbVHfBReow+YSQS5Qdt8eLWdZOidyKX1lIFUp8lD1wn86s8bjBarJ4GjX331eWeQ5bob+lbtzi1181RMd99xj9aOCxWnQ073cgvtwLnwn0N2fgqiZfTVXXKUcsymNf88Rr6Jc9DLfhuOwTgPCwz8rLlJETHiw2bpl00RrCAyseXjZ7eHnpPaoD1YHfj/6r9z/zPmjeaoUrMwG8mDMzskphxa3swfupx9hLKP/nn/WKR+0lo6nu/D+iLyYARH+z6E3KGQZvqeKzabzVpaNHD/XhZJLeb29e4ObdcyrLKT5W2jGLCjLI2/t+uvchnJF02PQQHg6BeZQ8csJj1MQ7aNEbi/WWKnPFY9M+G9Dgc6+kAQfvQZNGn+1R1b3LBlut7LHkQ5e9jz2CCr79Rg+UPzy1QL+4cdkjgAmNPU7JqVJxY9FRPX40ld8/S5u0brsdrfzrjTrwIC7suU/uA0UfvE89/nwhFf/7Df2nxgFH6z32yUEB8ZzKnh5wc86Nxe+6xx9JBW+8rvvh8nvmYPxygBHCwwEsD5NGTnhw3cxtVYn1HH7qgMhGM4fwyNwj+Qtz1Y1TqHDph9R2/CBqvvgvtHLzbTIbIkUXAbyYZZ0hE7eyh+fosx8lC5UQXmsttWXGOPvRttkWshvmiFUmbjlSzYzV4ICUvK2qQp3l4BVbjs3B26o45pDVBW4ZkYKbDJGlVY+vPqXiKddR0T/u0SseHIA3cQXOw1vlXFYQHuE0aSSFRzgo5HeF8EjPruKOW6hSiY6C7/5H9WeqFatLRlLHr3+Nw3AOuxwmNA6BrUpuh5ueXKr9+nxQuOD77zJOLmUlyS4rO9yyq0bOSysRpeDmnDNbgJucW54SxHTttVR561Tq6NVLiw8+P4krPQEIj3B6SOSEx5kXT6bX3166xiFyuNMNp4O4uWteU6MSHNfrn7y2VqrlwfDCi6lynbV0tnD/54wuXszOeJmpnXArnf+MFh+lTzxGVFBADSedpr1ftey4s+zmWWzlhFsWV9Oy6LytivsBr4TxONZ08GG6HzQdfmTGqsaZW0Y4aRKAm4yeya2uht+3U4z3rYp0rsWH+sF25tRcITxkfc6tVeSEB5/rGHTkfmtsqwrrcLkphBJBJ3vWworHmt2QVzd4EOTVjo611zEGwfMu1AnxgpE9tuAWDLf8FSvU1hpj0snnkjjydP2q7VedlVWyQmShVRz7W15Ls253Fh1F779L7X02pnq17Y5FR8c669pqxThyswUmQyJwk1FM5lYx/XZjh8E3X1P96UP1xz7ux7jWJADhEU6viJzw4JUNM2hgIpKw3OmyEOKD7uaVePjd/B2ER/fOy+c4qqZer12W8j55Hvj4y7F54QUje9jBLVhu6VymykqSXVZx628lL7+kRQefR+NLu1pWoqN5r30cNVzcuDmCkyYxuMlIWnHjLYIsPoqWfECNRx2jP/y1/vZ3shvksBWERziNGznhEbUVj+RmWbz0M+1hy4w1wn+H8FhNqfi1l6ny71Oo9LmntXcNHvCStyfgBSN72MEtBG4pgsTxF/D2DTaUFShLrOLS3/J/+rFrW5UXwSXjws3rbgxuMqKpuJU8/5wWHyyo2XU9fwDkf3GtJgDhEU5viJzw4C1Vt82a121ib072o+DZymrLF4SH0XlLn3qCKtVKR/Ebr1HTgYdQ3R/+RC2777VGz8YLRvawg1t43HgVr+Jetf3q3nsor7aGmvc/UHu/4q+JuXrFob/xmKXP9DzzT+osLtErHCwqW7fbXtysceAmhoMVD8/RpetvxW+9qcVH6ZPzdJ/mD4Ec7BKXQQDCI5yeEDnhwRis3Olabb8KGpkpgKJQlqDrnvF+M2cSTZ5M9J//EJ18MtHIkUT9+mU0QwIQyCoCDz5INH060TPPEFVXE515JtHQoUTbbptV1Yh9YT/+2GhH/vnpJ6L9VNRnbstTTok9GgDIMQIffWS8m2fMINpYnfXgd/M55+RYJVGdbCIQSeERRYDpVl3ivuLBLvz4q0r+jz9Q/bDh+qtKum0o+CIo6+HgFg1uHABTezxSsR34ACd7vOKv5BzbgfLzZYWMoFWu9rfy2f/QK1fFry7SB8a57fgAuVcHcHOVm99dFNxkhO1w42Cp2uPVzX+jDvXBxPR4lUvjlYQeVjwk1NzbQHjYYGiuwCSe60g0i6vw4KiphrvcKUR5+XprFe8j7SwrT0vVzkBpo1lilwTcZE3uF7eSF+Zr8VE292FdMO16V4mPll13lxU0YlZ+cQurmkXvvKUFY4VqM2pr02fPtItc5SrXyyvXuHnJJl1e4CYjbZtbe7t+V1exu121XZTjfNSNuJg6eveW3TgHrCA8wmnESAoPPmC+fEWtJZFkV7Z+Y2PRMeW2Od08WyXfM47Co+Drr/R5Dnbd17HuejpGR/3wC2w1h+2B0lZu8UkEbrK29pNbXl2t9oTE5z/4HEjb5lsa5wTU+Y+Onj1lBY6IlZ/cgqwixzTQLnJVG7GXn7ZNN1/dRirYmtdXrnDzmkum/MAtEyHrvzvlVjFzmuFu98tlWnjzx8K2TTaT3TzLrSA8wmnAyAmPo4aMod69qmnG9WofYsiXub3KqhiJ5zziJjyKlizWnqvKHnmA2rbsa7jLPUGd67B5OR0obWab88nATdbEQXDjQ5x6+5WKfk7qy2LTEUcZX9OVk4VsvYLg5jebkhf/ZbjIfVSdzVFXw+BTtOho2W1P326dC9x8g5MmY3CTUZdwK3v0IcPd7uL39FjFKx9xDJIK4SHrc26tIic8UsXxcFtRP+3jJDxKFr2oVzrYVR9vKdHucg853BFeyUDp6AY5mhjcZA0bJLfy+2fp7VfFr71C7eutr7de8U97n41khQ/RKkhuXleTA5h2ncP56ktq2WEnalTtUM/ncAoLvb5dt/yymZuvYDJkDm4y+lJuvFWUt0qXLFxAzXvurd/lzQccJCtEllpBeITTcBAeHnCPi/AofeIx/ZWk+O1/633RPFC17LaHY4LSgdLxjXLMANxkDRo0t8JPPura2pP/yy/U3H9f/ZW98dgTZBUIySpobl5Vs2zeo2rl6W4qmf8sdVZUdm2rat16G69ukTafbOUWCJw0NwE3WQu44Vb07tv6nc7PTOs2/fQ5zcZjBskKkoVWEB7hNFrkhAdvtTqw/440Ymj2+MePg/Dgr4f8daTws0/0tiq9L1Rts5JcbgZKyf1yxQbcZC0ZFjf2na9jRKhgmp2lZatjRGy7nawiAVuFxU1azcL/LtWrTcw8v0bFWtn3AL3a1Hj0cdIsRXbZxk1USR+MwE0G1S03DprJW6fLZ91F7Rv+n/6gWD80Hu52ITxkfc6tVeSEh53D3G4r7bV9rguPyptuMNzlLl9O9eecb7jLVdtIpJfbgVJ632y3AzdZC4bJLf+H76nCdL277Atq/e3vulzvdhYXyyoUkFWY3JxW0dxWVfzm69T+qw26GLf/36+dZuU6fTZxc11ZDzMANxlML7jxyqx2t6u2UfMqIX9Y5HMfUR+jZMRWW0F4uCUos4+c8OAzHumuoL1a2cGaq8Ijf+VKPRDxgNRZUqoGIuV+Ty3F8n+7ubwYKN3cP1ttwU3WclHgxvuoOXZE2UOzdSUaB52kY0e07NFfVqkArKLALVM1WWiYqxya64CjtUexMPeqZwO3TFzD+Du4yah7yU2LD/7IuGIF1Z07Qn9k5Fg3uXpBeITTspETHuFgcHfXXBQeBerrLA9AFXdP118Q9fLrWee6A7XK2suB0pMCZUkm4CZrqKhwy2tuMs5+qBUQ9ibTtvGmapKsYn8o71cda68jq5yPVlHhZlVF3kplrnLwFqu2rfqqOCrqID+z5IjyIV5R5hYiloy3BreMiCwTeM2t/J4ZVKW2XhUs+5waTjxVf3Bs22IrWeEibgXhEU4DQXh4wD3XhEfRe+/olQ4OjNbWd2sdo6Px+BM9IGVk4fVA6VnBIp4RuMkaKGrcit5/15g0KxGS19KsvcJp17uHHSGroE9WUeNmVpMPjXPclNLH56rApXldh8dbdtrFJxLOso0qN2e1CD41uMmY+8Gt7LFH9ByAD583Hfp7w5HMLrvJChhhKwiPcBonksLDjBSeiCQxbkY4qFLfNZeEB/u91y721L8tu++lt1Z5HYvAj4Eyan3Cj/KAm4xqVLmVPXi/Fh8lL7+kowfzFiH2fhWVYF5R41ag3OKa26rYXS5PhEx3xbKe4Y9V1Lj5U0vvcwU3GVO/uJW89IIxF1jwvI57w+c+2JtlLl0QHuG0ZuSEx9Tpj9Bts+bR7FvHUb++m2gqZiC/4acOiKS3q1wRHrzCob9yqBUP/vqqv3LsvKvnPdOvgdLzgkYsQ3CTNUiUubFHGXP7Vf5PP2qxryOfOwjIKaOS2SpK3DgAoBZp6oNIR48eq0VaBLeARIlb5laOTgpwk7WFn9x4dVa72+XdD2o7o979oM6n5coF4RFOS0ZOePQfOIIGHbnfGgKDBckDj79AC+dODYdUmrvmgvDgsxw8wPDZDr2vk93lbr6lL6z9HCh9KXBEMgU3WUNkA7fSZ/6pv+aX/vNx6iwqMr7kq+1XrdvvIKu0B1ZR4Fa05APFZdW2tIZ6aj7wYBUEUG1LO3KgBzX0J4socPOnZv7mCm4yvn5zK/hymXHec+Y0al//V8Z5z7PPkxU2YlYQHuE0SOSER6rI5eb2K3i18rijdHR0udFjL1Z1511oeLLw8bCr3wOlx4Qikx24yZoiW7ixu2pzkl346cc6oJchQE6nzvIKWeVdWIXKra1NneNYdRD/nbeo/Td91OFx4yA+T36ifIXKLcpgMpQN3GSNFwQ3duZgerzqLCrWW7D54yTHJ8rmC8IjnNaLnPDAikdwHYEnOnowUXE6unx3K9HBX1z9vIIYKP0sf1h5g5uMfLZxK37tZWP71ex/6Ao3Hn28Fh/N++wvAyC0Cotb8auLtOvhrvqrSMq6/nvvJ6xJsGZhcQu2lt7fDdxkTIPkpmN6qe3Y+T//rFc9ONYHe73M1gvCI5yWi5zwwBmPYDoCRyDnAaR81kziIFs8gAQVrTTIgTIYmsHcBdxknLOSW/IX/1//pmv7VVBf/IPmxpOZrhUfNT7pFR+1wqFXfMrKZY0fglXQ3EKooi+3BDcZ1qC5sUc+PnTOcwj2dsnnPtj7ZTZeEB7htFrkhAdjgFcrfztD8dv/1isdpU88pl/uvGzaqL4qBnUFPVAGVS+/7wNuMsLZzC3MMw5BctNnXNSEpvSpJyJzxkXW2+AuHNykBGR2QT6nZgl57sBzCJ5LNB10qN52xY4xsu2C8AinxSIpPMJBIb9rNh0uL3n+Ob3SUbLoRWrec299niPoKL9hDJTy1o2OJbjJ2iIXuIXh1SkIblH26iXrbRAe4CYlILML4jm1KhnPIfRcQs0p2PslzyWiFosoE1EIj0yE/Pl75ITHmRdPptffXkrJh8j50PmuO/SlGdeP9IeEi1yzRXiUPfIAVaqIpEVLFlPTEUfp7VUtO+7souYy07AGSllpo2MFbrK2yBVuBV9/tTqOxf++9T2Ohd/cuscxWbvrIH1U4pjIehuEB7hJCcjs/H5O05WK5xI8p+C5BXvB5JUP9oqZLReERzgtFTnhgcPl/nSEium3668TPHnhfdPaXe4mm/lzswy5hjlQhlJhj24KbjKQucaNvzDyWYiyeY9qIPochPJ+5XXMHb+4cZwgIxDgqsjtKjKyjtyu/s2Fyy9uucAmXR3ATdbCYXPjOYV2tzvjDu0Nk1c+2DtmNlwQHuG0UuSEB9zpetsR8lpbV7nBu57y6uuo7vw/Gu5yVaTksK6wB8qw6u32vuAmI5iL3Ni9JZ+J4Al84X+XUtuWfbsOn3dUV8tAJVl5zS2vqbErWGLRB+9T28abGsESlejo6L22J2WOQiZec4tCnYIoA7jJKEeBW15drfqwqTxeKQHClxYfIy6izsoqWaUCsoLwCAh00m0iJzyw4uFdR8j/8QdDdNw6lXgyYgwGFxMVFHh3E0FOURgoBcUO3QTcZE2Qy9yK33y9a/sV02kccLSO6u3FuS0vuZUsXKBFR9nDc3QjcvTjeiU6WvboL2vUCFt5yS3C1fS8aOAmQxolbpW33KjnHPk//Uj1Z56t5xzsNTOqF4RHOC0TOeEBd7redITCj/+rXd6V3z9LB9/S0UaHDPMmc5e5RGmgdFmVQM3BTYY7DtzM1Q8WIuxX39x+5eal7wW3/B++p4pVKzMFy76g1t/+rqtsncXFsgaNuJUX3CJeRV+KB24yrFHjVn7fPXr1g+cg7C2Tt3W3brudrHI+W0F4+Aw4RfaREx5cTrjTddcZit94TZ/nYNeUrdttr1c5Go8+zl2mHlpHbaD0sGq+ZgVuMrxx4Vb40X+MrUz3zqT8lSuped8D1OrHaToAoeRyy630yXmGi9znntZxOLgsLIiiOgmRMLKyccvNq3JkWz7gJmuxKHLjuYd2t6s+hDTvf6DhPXOvfWQV9NEKwsNHuGmyjqTwCAeF/K5R8mrFL3n2MsHRjznSL39t4AlIlK4oDpRR4pOqLOAma6W4cSt9fC5VKPFRMv9Z6iyvMM5RqO1Xrdts6wiglBt/6dSRx1kA/fKLHoe4DEHGCnJUUY8TS7l5XIysyw7cZE0WVW7Fry7Sc5HS+c9Qyw476Q+gTUcOlFXSJysID5/AZsgWwsMD7lERHmUP3EdVaqWjcOmHeq83f2Vo3X4HD2robRZRHSi9raX3uYGbjGkcuRV897+uw+cFX31Jrb/bUa821CvvV1RYaAukhBtvs+AD78Wvv0rt662/esuX2u4Zl0vCLS5s0tUT3GS9IMrcij5condfsOtsdibBc5KGU4fIKuqDFYSHD1BtZAnhYQNSpiRREB4Vd9yilzZ5wtFw2pmGu9yNNslU9FD+HuWBMhQgNm8KbjZBJSWLM7eSF/9lHOp+9EFNpWHwKXr1oWW3PTPCdMKt+K03u4QOdXToOEHaRe6Bh2S8T64lcMIt1+rupj7gJqMXdW4FKuaQdrd7563U0auXXvnQTm4icEF4hNMIEB4ecA9TeLCLSj5Ezj/839pzFbvL7dnTg5r5k0XUB0p/au0+V3CTMYw7t7yG+q6zH0VLPqC2TTfv2n7FE4FUlx1u7EaThQ1v7eKVVg4iZm7tivIYJOtJ9qzscLOXU7xSgZusvbOBW15jw+p5Skvz6nlKjx6ySntkBeHhEUiH2UB4OARmlTws4cGrG/pLglrt6FhrLeNLghIdUb+yYaCMIkNwk7UKuBncit59u2tVguP7NB1+pI790XTI4ZZgM3EreWG+3lZVNvdhbd9wkjo8zoEMd91d1lA5YpWJW45U0/NqgJsMaTZxq7j9ZmNnxvffUf3pQ/XOjPY+G8sq7oEVhIcHEAVZQHgIoCWbhCE8+Osin+fgcx28paruD7x38gwPauN/Ftk0UPpPw/4dwM0+q8SU4NadW/mce/UqBR/+5EjD2vWu2n6VvDUzFbeCb742YoeoH/7vlp120YfXOQ/Ky5M1Ug5Zob/JGhPc4sGNxx/eocGBTxuPOsY4i6rcbIdxQXiEQV29JjrVFc6tc+euQQsP9lilvUUoD1Z8eJwfXD5Mni0XXjCylgI3cJMRWNOq8LNPVrve/flnat5zb8Pz1PEndiW26m+8usGCg1c7OquqdRBAFh1tW/X1qmhZnw+eU1kTglt8uJU+80996Lz4tVeoeZ/9dZTzMLxvQnjI+pxbKwgPtwSVfZDCQ/vH5gdWxepo3k/5x+YHVrmrzKYLLxhZa4EbuMkIpLbi8UTH2lATgc7iEuN8BsfaUPF/Evsbr7DyOQ5eKeFzHeybnwUHf7HE1Z0AnlNZjwC3eHFjz3e87YrHHh1vjD+gDjxWBkFoBeEhBOfSDMLDJUA2D0p4lDz/HPU682TKq69TXmn2oOV3z6GO3r09qEGwWeAFI+MNbuAmI5DBqq2NKm+/iaqunajHFh5TasZPpIIzja2bbXMepOqxl1DBt99QZ0mp3tZZe/FI2255fSlzhDPFcyprHHCLHzceb3qdNpjY+x6PLStunR7o7g0ID1mfc2sF4eGWYEDCo3zWTOr5lwvVLKBNP5j8gPKDmo0XXjCyVgM3cJMRsGdV8OUyPcbwBw6+2vc7gDpLS6nwqSf1//PHjhU33Kw9V+FKTQDPqax3gFtMuak5DY87PMfhq+aKiVR3/h9lMBxaQXg4BOZRcggPD0D6veJRfdU4dabjr7qk/EDyg5nNF14wstYDN3CTEXBmxcG+eqgVjnx19oOvDuXysmb8pEgF/nJWo2BT4zmV8Qa3eHOrmnINVU26UkOoHzacVl59re+rqhAesj7n1grCwy1BZe+b8FBfAtY6d6gR/EtFG+YHkR/IbL/wgpG1ILiBm4yAcysWHb2vGkN5zU300xWTqWPd9ZxnElMLPKeyhgc3cOOPHmuNOEfv7GB337/wzo6KShkYG1YQHjYg+ZAEwsMDqH4Ij6Ili7XnqrJHHqC2TTbT/q750GcuXHjByFoR3MBNRkBmhf4GbjICMiv0N3BjAmUPzdaHzos+XEJNRxyl45O17LizDE4GKwgPX7BmzBTCIyOizAm8Fh4li17UD17Jv+brB469PTT9fkDmgmRJCrxgZA0FbuAmIyCzQn8DNxkBmRX6G7iZBErnP6M/vHKsIXb1zXOg5gMOkgFKYwXh4TlSWxlCeNjClD6Rl8Kj9InHtOgofvvf+kHTD5x68HLpwgtG1prgBm4yAjIr9DdwkxGQWaG/gVsigeI3X9ehA0r/+Ti1btNPe9NrPGaQDFIKKwg1/uH2AAAToklEQVQPT3HazgzCwzaq1Am9Eh7s1YFFR+Hnn+oHjB80fuBy7cILRtai4AZuMgIyK/Q3cJMRkFmhv4FbMoHCTz7SUc7L77uH2jf8P/0htn6oOgPi0QXh4RFIh9lAeDgEZpXcC+FRedMNWnTkL1+uHyx+wPhBy8ULLxhZq4IbuMkIyKzQ38BNRkBmhf4GblYE8n/6Uc+NKm+5UR805/OufO6js7hYBizBCsLDNUJRBhAeNrEtXvoZDT73Spp96zjq13eTblZuhEf+ypXGQ6WWFDsLCrTg4AfLT08ONqvsWzK8YGRowQ3cZARkVuhv4CYjILNCfwO3lASUl6sqniep1Y+8ulqqO3eEnit1rLOuDNoqKwgPV/jExhAeNtD1HziClq+o1Sm9FB4Fy77QoqPi7un6AdKiQz1QuX7hBSNrYXADNxkBmRX6G7jJCMis0N/ALROBihl36DlTwddfUcOJp6qVj4uobYutMpml/DuEhxidK0MID5v4vF7xKHrvHf0AlT32iI4ErN3lqgcpDhdeMLJWBjdwkxGQWaG/gZuMgMwK/Q3c7BDgEAPs8YpDDjQd+nv9wbZll93smK6RBsJDhM21EYSHTYTphMf3vzTZzMVIVvziv6jib8pzlfq3deddqV4dIm9WwXLiclWWFuqq1jW1xaXKntQT3GQYwQ3cZARkVuhv4CYjILOKY38r/tdzVMHudhe+SC2770kNPIc6+DDHANdbq9SxDQzcE4DwsMkwnfBo7+i0mQtR3oMPUN5111HeW29R5+G/p85LLqHO/v1t2+dCwrw8oxad9rHlQrVd1wHcZAjBDdxkBGRW6G/gJiMgs4prf8t74w3Ku/Zaynv0EercZhtjLnWKs10jBfmrJiMy9LASEoDwsAnOi61WfJZD709UZzsajz+RatUSYVvfrW2WIHeSYUld1pbgBm4yAjIr9DdwkxGQWaG/gZtTAoWffWK42/3HTGpf/1eGu92zz7OdDbZa2UblaUIID5s4XQmPjo4uz1Xsxar+rHMNd7m/2sDm3XMrGV4wsvYEN3CTEZBZob+Bm4yAzAr9DdwkBDgEgfYMqkISdJaU6vhn2jNoaVnG7CA8MiLyJQGEh02sUuHh5qGwWbSsS4YXjKzJwA3cZARkVuhv4CYjILNCfwM3GQFlZX7c5VhoNTV61YNjfWT6uAvhISbuyhDCwwa+RHe6nLxXzypaOHdql2WqOB7dlgHXW99YBjznfBt3zO0keMHI2hfcwE1GQGaF/gZuMgIyK/Q3cJMRWG3ldDs7hIdb4jJ7CA8Zt25WVsKj+O1/6+W/0iceo7at+urzHI2DTvLgbtmfBV4wsjYEN3CTEZBZob+Bm4yAzAr9DdxkBLpblc19WM+9it5/l5oOOlRvu2rZfS/LrCE8vCDuPA8ID+fM1rBIFh4lzz+nI5GXLFKu3nbbQ690NAlcvXlQtEhmgReMrFnADdxkBGRW6G/gJiMgs0J/AzcZgTWtShY8rw+dl7z0ArWokAV6DnbYEWskhPDwirizfCA8nPGyTJ0oPLoFtznkcCO4za67e3CX3MkCLxhZW4IbuMkIyKzQ38BNRkBmhf4GbjIC1lZ2gjRDeHhJ3H5eEB72WaVMaQqPium365WOgq+/oobBp+glvrYttvLgDrmVBV4wsvYEN3CTEZBZob+Bm4yAzAr9DdxkBFJbFSz7nKpUoMHye2ZQx9rr6A/Bdedd2GUA4eE1cXv5QXjY45Q21f++qzHcuamlvbz6OqoffoE+09Gx7noe5J57WeAFI2tTcAM3GQGZFfobuMkIyKzQ38BNRiC9Vf6KFfqDMM/ROgsLDfEx4iLqrKwiCA8/iGfOE8IjM6P0Kb7/nuqumECVt06lzvIK3aHZj3RncYnbnHPWHi8YWdOCG7jJCMis0N/ATUZAZoX+Bm4yAvasTPGR/8svVH/m2VqArPfbLewZI5WnBCA83OI84wyimSpq5gYbGu5yhw13m2PO2+MFI2ticAM3GQGZFfobuMkIyKzQ38BNRsC+Vfmsu6hSbb0q/OIzajxmEJU9PMe+MVJ6RgDCwy3KvDzqrKik5fc9RM177u02t1jY4wUja2ZwAzcZAZkV+hu4yQjIrNDfwE1GwJlV8b/foF6nnUD5P3xP1NnpzBipPSEA4eEW4xVX0A+HHEVtm2/pNqfY2OMFI2tqcAM3GQGZFfobuMkIyKzQ38BNRsC5VeHnn1LZ7Hup6q+TnBvDwjUBCA/XCIlSRS73IOuczAIvGFmzghu4yQjIrNDfwE1GQGaF/gZuMgJyKxwul7NzYwnh4YbeKlsID2cQ8YJxxstMDW7gJiMgs0J/AzcZAZkV+hu4yQjIrSA85OzcWEJ4uKEH4SGihxeMCBuBG7jJCMis0N/ATUZAZoX+Bm4yAnIrCA85OzeWEB5u6EF4iOjhBSPCBuEhwwZu4CYkIDPD+AZuMgIyK/Q3GTe2gvCQs3NjCeHhhh6Eh4geBkoRNkygZdjADdyEBGRmGN/ATUZAZoX+JuMG4SHn5tYSwsMtQWWPMx7OIGKgdMbLTA1u4CYjILNCfwM3GQGZFfobuMkIyK2w4iFn58YSwsMNPax4iOjhBSPChi/3MmzgBm5CAjIzjG/gJiMgs0J/k3HDioecm1tLCA+3BLHi4ZggBkrHyLQBuIGbjIDMCv0N3GQEZFbob+AmIyC3woqHnJ0bSwgPN/RgCwIgAAIgAAIgAAIgAAIgYIsAhIctTEgEAiAAAiAAAiAAAiAAAiDghgCEhxt6sAUBEAABEAABEAABEAABELBFAMLDFiYkAgEQAAEQAAEQAAEQAAEQcEMAwkNI76ghY+iTL77R1ptttCE9NnOCMKf4mS1e+hkNPvdKmn3rOOrXd5P4AXBY4zMvnkyvv720m9WSBTMd5hK/5KMm3kHznn0F3Fw0vckQz2pmiHOfXkRjrpm2RkI8q5nZcYpt9h3SlXD4qQNoxNBj7BnGMJX5DrWqOvpb5g7Rf+AIWr6itishmGVm5mUKCA8BTZ4I/ry8pktssAjp3auaZlw/UpBbvEwSH3hMZuy1PTNbOHdqV2KeDC56Y3G339nLKV6p+Lm8euTQLnE7dfoj9MDjL4CbzW7AE+m7Zj+lP7DgWc0MjXlNuW0O+ldmVN1SmJPoCZcOo4GH7uXQGslNAjy+vbPkY8xDMnQJfi9svUUfmjT6bJ0yeT6HHuU/AQgPAWOeCP5p+AldgyReOM4gYsXDGa/k1OAn4wduzrjxF2gWHFidtMcN7wF7nJJT8UTwwP47YoVDhq/Liuclt0y6CLsIMnDE/M1lR/PAHMLDIUSryQsmNM4ggpczXsmp8eVexo+/bH382df4Im0DH08Gzxh8GG3aZwMIDxu8OInVVits4cgMjwVur55V3ba+YIUtM7fEFFjtsM/L3D5qPpsQvvbZeZUSwsMhSQgPh8AskkN4yBliW4Jzdonb+zARzMyPX8zf//SL3rKBZzUzr1QpsIUjMzur8Sx5Ypg5F6TAaof9PmB1PgbvBfv8vEgJ4eGQIoSHQ2AQHu6BrcrB7Hs4eClDyl8Fb5s1j/CSSc0vebsQhIesr7GVyQ79LTXDVP2LV0Fw5sNe30v8UGDPIt6pzC2kpmMbvBeC7w8QHgLmVnsE2ZsJXjD2YGIyY49TYipzGwe2IDhnl2iR/NJxl1vuWafyzMQ1heB11t4mS7wX0nOzEhkQHvb7GsY0+6ysPgZgPmKfn1cpITwEJOHVSgAtwQQPujN+OLTqjJeZGt7AZNwSrfCs2meY3N/g7dAeu+SzV/DaZ48bp8Jqh31WZkoWarvu0LfL+xf6m3OGbi0gPIQEEcdDBi7ZfzYfKkx0FSvLNXet0vlrx1aE9O2e+IyaKfH12dmzAuFhn1dyf0uc3NjPJZ4pE9nhnWCvD2AV3B4nq1SJMWPQ3+QcpZYQHlJysAMBEAABEAABEAABEAABELBNAMLDNiokBAEQAAEQAAEQAAEQAAEQkBKA8JCSgx0IgAAIgAAIgAAIgAAIgIBtAhAetlEhIQiAAAiAAAiAAAiAAAiAgJQAhIeUHOxAAARAAARAAARAAARAAARsE4DwsI0KCUEABEAABEAABEAABEAABKQEIDyk5GAHAiAAAiAAAiAAAiAAAiBgmwCEh21USAgCIAACIAACIAACIAACICAlAOEhJQc7EAABEAABEAABEAABEAAB2wQgPGyjQkIQAAEQAAEQAAEQAAEQAAEpAQgPKTnYgQAIgAAIgAAIgAAIgAAI2CYA4WEbFRKCAAiAAAiAAAiAAAiAAAhICUB4SMnBDgRAAARAAARAAARAAARAwDYBCA/bqJAQBEAABEAABEAABEAABEBASgDCQ0oOdiAAAiAAAiAAAiAAAiAAArYJQHjYRoWEIAACIAACIAACIAACIAACUgIQHlJysAMBEAABEAABEAABEAABELBNAMLDNiokBAEQAAEQAAEQAAEQAAEQkBKA8JCSgx0IgAAIgIBtAkcNGUO9e1XTjOtH2rZBQhAAARAAgdwiAOGRW+2J2oAACGQZgVET76B5z76yRqkHHLwHTRp9tv793KcX0ZhrptGES4fRwEP3yrIaGsWF8MjKZkOhQQAEQMBTAhAenuJEZiAAAiDgjAALj0VvLKaFc6d2GS5e+hkNPvdKGn7qABox9BhnGUY0NYRHRBsGxQIBEACBAAlAeAQIG7cCARAAgWQCVsKD0/QfOIL22qWfXvUwhcjsW8dRv76bdK0ecLrX316qs+zVs6qbeLEibU7+09lxmq236NO12sJpz7x4Mv28vIYemzlBZ2uWjQXT8hW1+ncskn694bp6Zca8zPLy/9u5t3kvs078/5nySPw7ehcIgAAIgEC0CUB4RLt9UDoQAIEcJ2AlPKZOf4RumzWva9JtJTw++eKbbisiLAY23+T/0p6h4Ml/Jju7woMFhznpN8ubKH44H75MsWJ17+Q0yQLHzHfJgpk6L6s8crx7oHogAAIgkFMEIDxyqjlRGRAAgWwjkOqMR+IkPtWKR+JBbc7nw4+WdU30rThYbXdKtrMrPMzVGL5Pcvn4d8mCyure5tkVFjB88fay5BUMFlSDjtxPbznDdq1s690oLwiAAAh0JwDhgR4BAiAAAiESSLXVir/+85Yj/tqfLcIj8fA7r1Y88PgLXdu/rESDWS+24ytxm1Zik5hnXSA8QuyouDUIgAAIeEAAwsMDiMgCBEAABKQEUgkPzm+bfYfo7VT77rF9t9UAOysXVuWxY+dmxcML4WFuq7Jbfil32IEACIAACARPAMIjeOa4IwiAAAh0EUglPBI9WwUtPJLjbaQ6XG66+01cuTDd/dpZ8TC3WiWu6qRzGYwVDzw4IAACIJDdBCA8srv9UHoQAIEsJ5BKeJgHqYPeapVcHlMcbLbRhmt4tXIrPHhFJzFeSeL2MrNZuTy77rC1jl8C4ZHlnR3FBwEQiD0BCI/YdwEAAAEQCJNA1A6XMws+0G26yWXBwSsgVu50nQoP9qiVeCWKDvP3pvhITJfo1QrRz8Psrbg3CIAACLgjAOHhjh+sQQAEQAAEQAAEQAAEQAAEbBCA8LABCUlAAARAAARAAARAAARAAATcEYDwcMcP1iAAAiAAAiAAAiAAAiAAAjYIQHjYgIQkIAACIAACIAACIAACIAAC7ghAeLjjB2sQAAEQAAEQAAEQAAEQAAEbBCA8bEBCEhAAARAAARAAARAAARAAAXcEIDzc8YM1CIAACIAACIAACIAACICADQIQHjYgIQkIgAAIgAAIgAAIgAAIgIA7AhAe7vjBGgRAAARAAARAAARAAARAwAYBCA8bkJAEBEAABEAABEAABEAABEDAHQEID3f8YA0CIAACIAACIAACIAACIGCDAISHDUhIAgIgAAIgAAIgAAIgAAIg4I4AhIc7frAGARAAARAAARAAARAAARCwQQDCwwYkJAEBEAABEAABEAABEAABEHBHAMLDHT9YgwAIgAAIgAAIgAAIgAAI2CAA4WEDEpKAAAiAAAiAAAiAAAiAAAi4IwDh4Y4frEEABEAABEAABEAABEAABGwQgPCwAQlJQAAEQAAEQAAEQAAEQAAE3BGA8HDHD9YgAAIgAAIgAAIgAAIgAAI2CEB42ICEJCAAAiAAAiAAAiAAAiAAAu4IQHi44wdrEAABEAABEAABEAABEAABGwQgPGxAQhIQAAEQAAEQAAEQAAEQAAF3BCA83PGDNQiAAAiAAAiAAAiAAAiAgA0CEB42ICEJCIAACIAACIAACIAACICAOwIQHu74wRoEQAAEQAAEQAAEQAAEQMAGAQgPG5CQBARAAARAAARAAARAAARAwB0BCA93/GANAiAAAiAAAiAAAiAAAiBggwCEhw1ISAICIAACIAACIAACIAACIOCOAISHO36wBgEQAAEQAAEQAAEQAAEQsEEAwsMGJCQBARAAARAAARAAARAAARBwRwDCwx0/WIMACIAACIAACIAACIAACNggAOFhAxKSgAAIgAAIgAAIgAAIgAAIuCMA4eGOH6xBAARAAARAAARAAARAAARsEIDwsAEJSUAABEAABEAABEAABEAABNwRgPBwxw/WIAACIAACIAACIAACIAACNghAeNiAhCQgAAIgAAIgAAIgAAIgAALuCPx/+3VoAwAAgDDs/695YQm2HkzdhMfn502AAAECBAgQIECAQBAQHgHJhAABAgQIECBAgACBT2BHPGrFyjlXeAAAAABJRU5ErkJggg==", "text/html": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "[GRAPHIC ELEMENT SENT TO LOG FILE `reach_equilibrium_2.log.htm`]\n", "[GRAPHIC ELEMENT SENT TO LOG FILE `reach_equilibrium_2.log.htm`]\n", "\n", "After Delta time 3.0. TOTAL TIME 8.999999999999984 (30 steps taken):\n", "SYSTEM STATE at Time t = 8.999999999999984:\n", "[[1.12120196 2.24355388 3.33164561 2.4287678 1.7496615 2.4287678\n", " 3.33164561 2.24355388 1.12120196]]\n" ] }, { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "hovertemplate": "Chemical=A
Bin number=%{x}
concentration=%{y}", "legendgroup": "A", "line": { "color": "red", "dash": "solid" }, "marker": { "symbol": "circle" }, "mode": "lines", "name": "A", "orientation": "v", "showlegend": true, "type": "scatter", "x": [ 0, 1, 2, 3, 4, 5, 6, 7, 8 ], "xaxis": "x", "y": [ 1.1212019561403928, 2.2435538778986284, 3.3316456129371836, 2.4287678007441973, 1.749661504559193, 2.4287678007441973, 3.3316456129371836, 2.2435538778986284, 1.1212019561403928 ], "yaxis": "y" } ], "layout": { "autosize": true, "legend": { "title": { "text": "Chemical" }, "tracegroupgap": 0 }, "template": { "data": { "bar": [ { "error_x": { "color": "#2a3f5f" }, "error_y": { "color": "#2a3f5f" }, "marker": { "line": { "color": "#E5ECF6", "width": 0.5 }, "pattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 } }, "type": "bar" } ], "barpolar": [ { "marker": { "line": { "color": "#E5ECF6", "width": 0.5 }, "pattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 } }, "type": "barpolar" } ], "carpet": [ { "aaxis": { "endlinecolor": "#2a3f5f", "gridcolor": "white", "linecolor": "white", "minorgridcolor": "white", "startlinecolor": "#2a3f5f" }, "baxis": { "endlinecolor": "#2a3f5f", "gridcolor": "white", "linecolor": "white", "minorgridcolor": "white", "startlinecolor": "#2a3f5f" }, "type": "carpet" } ], "choropleth": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "type": "choropleth" } ], "contour": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "contour" } ], "contourcarpet": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "type": "contourcarpet" } ], "heatmap": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "heatmap" } ], "heatmapgl": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "heatmapgl" } ], "histogram": [ { "marker": { "pattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 } }, "type": "histogram" } ], "histogram2d": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "histogram2d" } ], "histogram2dcontour": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "histogram2dcontour" } ], "mesh3d": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "type": "mesh3d" } ], "parcoords": [ { "line": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "parcoords" } ], "pie": [ { "automargin": true, "type": "pie" } ], "scatter": [ { "fillpattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 }, "type": "scatter" } ], "scatter3d": [ { "line": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatter3d" } ], "scattercarpet": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattercarpet" } ], "scattergeo": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattergeo" } ], "scattergl": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattergl" } ], "scattermapbox": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattermapbox" } ], "scatterpolar": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatterpolar" } ], "scatterpolargl": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatterpolargl" } ], "scatterternary": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatterternary" } ], "surface": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "surface" } ], "table": [ { "cells": { "fill": { "color": "#EBF0F8" }, "line": { "color": "white" } }, "header": { "fill": { "color": "#C8D4E3" }, "line": { "color": "white" } }, "type": "table" } ] }, "layout": { "annotationdefaults": { "arrowcolor": "#2a3f5f", "arrowhead": 0, "arrowwidth": 1 }, "autotypenumbers": "strict", "coloraxis": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "colorscale": { "diverging": [ [ 0, "#8e0152" ], [ 0.1, "#c51b7d" ], [ 0.2, "#de77ae" ], [ 0.3, "#f1b6da" ], [ 0.4, "#fde0ef" ], [ 0.5, "#f7f7f7" ], [ 0.6, "#e6f5d0" ], [ 0.7, "#b8e186" ], [ 0.8, "#7fbc41" ], [ 0.9, "#4d9221" ], [ 1, "#276419" ] ], "sequential": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "sequentialminus": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ] }, "colorway": [ "#636efa", "#EF553B", "#00cc96", "#ab63fa", "#FFA15A", "#19d3f3", "#FF6692", "#B6E880", "#FF97FF", "#FECB52" ], "font": { "color": "#2a3f5f" }, "geo": { "bgcolor": "white", "lakecolor": "white", "landcolor": "#E5ECF6", "showlakes": true, "showland": true, "subunitcolor": "white" }, "hoverlabel": { "align": "left" }, "hovermode": "closest", "mapbox": { "style": "light" }, "paper_bgcolor": "white", "plot_bgcolor": "#E5ECF6", "polar": { "angularaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "bgcolor": "#E5ECF6", "radialaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" } }, "scene": { "xaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" }, "yaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" }, "zaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" } }, "shapedefaults": { "line": { "color": "#2a3f5f" } }, "ternary": { "aaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "baxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "bgcolor": "#E5ECF6", "caxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" } }, "title": { "x": 0.05 }, "xaxis": { "automargin": true, "gridcolor": "white", "linecolor": "white", "ticks": "", "title": { "standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 }, "yaxis": { "automargin": true, "gridcolor": "white", "linecolor": "white", "ticks": "", "title": { "standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 } } }, "title": { "text": "Diffusion. System snapshot at time t=8.999999999999984" }, "xaxis": { "anchor": "y", "autorange": true, "domain": [ 0, 1 ], "range": [ 0, 8 ], "title": { "text": "Bin number" }, "type": "linear" }, "yaxis": { "anchor": "x", "autorange": true, "domain": [ 0, 1 ], "range": [ 0.9983995307627933, 3.454448038314783 ], "title": { "text": "concentration" }, "type": "linear" } } }, "image/png": "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", "text/html": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "[GRAPHIC ELEMENT SENT TO LOG FILE `reach_equilibrium_2.log.htm`]\n", "[GRAPHIC ELEMENT SENT TO LOG FILE `reach_equilibrium_2.log.htm`]\n", "\n", "After Delta time 3.0. TOTAL TIME 11.999999999999973 (30 steps taken):\n", "SYSTEM STATE at Time t = 11.999999999999973:\n", "[[1.40992642 2.21285813 2.88112821 2.46180799 2.06855851 2.46180799\n", " 2.88112821 2.21285813 1.40992642]]\n" ] }, { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "hovertemplate": "Chemical=A
Bin number=%{x}
concentration=%{y}", "legendgroup": "A", "line": { "color": "red", "dash": "solid" }, "marker": { "symbol": "circle" }, "mode": "lines", "name": "A", "orientation": "v", "showlegend": true, "type": "scatter", "x": [ 0, 1, 2, 3, 4, 5, 6, 7, 8 ], "xaxis": "x", "y": [ 1.409926415329593, 2.2128581268552696, 2.8811282129149904, 2.4618079877614654, 2.0685585142773593, 2.4618079877614654, 2.8811282129149904, 2.2128581268552696, 1.409926415329593 ], "yaxis": "y" } ], "layout": { "autosize": true, "legend": { "title": { "text": "Chemical" }, "tracegroupgap": 0 }, "template": { "data": { "bar": [ { "error_x": { "color": "#2a3f5f" }, "error_y": { "color": "#2a3f5f" }, "marker": { "line": { "color": "#E5ECF6", "width": 0.5 }, "pattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 } }, "type": "bar" } ], "barpolar": [ { "marker": { "line": { "color": "#E5ECF6", "width": 0.5 }, "pattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 } }, "type": "barpolar" } ], "carpet": [ { "aaxis": { "endlinecolor": "#2a3f5f", "gridcolor": "white", "linecolor": "white", "minorgridcolor": "white", "startlinecolor": "#2a3f5f" }, "baxis": { "endlinecolor": "#2a3f5f", "gridcolor": "white", "linecolor": "white", "minorgridcolor": "white", "startlinecolor": "#2a3f5f" }, "type": "carpet" } ], "choropleth": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "type": "choropleth" } ], "contour": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "contour" } ], "contourcarpet": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "type": "contourcarpet" } ], "heatmap": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "heatmap" } ], "heatmapgl": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "heatmapgl" } ], "histogram": [ { "marker": { "pattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 } }, "type": "histogram" } ], "histogram2d": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "histogram2d" } ], "histogram2dcontour": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "histogram2dcontour" } ], "mesh3d": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "type": "mesh3d" } ], "parcoords": [ { "line": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "parcoords" } ], "pie": [ { "automargin": true, "type": "pie" } ], "scatter": [ { "fillpattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 }, "type": "scatter" } ], "scatter3d": [ { "line": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatter3d" } ], "scattercarpet": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattercarpet" } ], "scattergeo": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattergeo" } ], "scattergl": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattergl" } ], "scattermapbox": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattermapbox" } ], "scatterpolar": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatterpolar" } ], "scatterpolargl": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatterpolargl" } ], "scatterternary": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatterternary" } ], "surface": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "surface" } ], "table": [ { "cells": { "fill": { "color": "#EBF0F8" }, "line": { "color": "white" } }, "header": { "fill": { "color": "#C8D4E3" }, "line": { "color": "white" } }, "type": "table" } ] }, "layout": { "annotationdefaults": { "arrowcolor": "#2a3f5f", "arrowhead": 0, "arrowwidth": 1 }, "autotypenumbers": "strict", "coloraxis": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "colorscale": { "diverging": [ [ 0, "#8e0152" ], [ 0.1, "#c51b7d" ], [ 0.2, "#de77ae" ], [ 0.3, "#f1b6da" ], [ 0.4, "#fde0ef" ], [ 0.5, "#f7f7f7" ], [ 0.6, "#e6f5d0" ], [ 0.7, "#b8e186" ], [ 0.8, "#7fbc41" ], [ 0.9, "#4d9221" ], [ 1, "#276419" ] ], "sequential": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "sequentialminus": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ] }, "colorway": [ "#636efa", "#EF553B", "#00cc96", "#ab63fa", "#FFA15A", "#19d3f3", "#FF6692", "#B6E880", "#FF97FF", "#FECB52" ], "font": { "color": "#2a3f5f" }, "geo": { "bgcolor": "white", "lakecolor": "white", "landcolor": "#E5ECF6", "showlakes": true, "showland": true, "subunitcolor": "white" }, "hoverlabel": { "align": "left" }, "hovermode": "closest", "mapbox": { "style": "light" }, "paper_bgcolor": "white", "plot_bgcolor": "#E5ECF6", "polar": { "angularaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "bgcolor": "#E5ECF6", "radialaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" } }, "scene": { "xaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" }, "yaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" }, "zaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" } }, "shapedefaults": { "line": { "color": "#2a3f5f" } }, "ternary": { "aaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "baxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "bgcolor": "#E5ECF6", "caxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" } }, "title": { "x": 0.05 }, "xaxis": { "automargin": true, "gridcolor": "white", "linecolor": "white", "ticks": "", "title": { "standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 }, "yaxis": { "automargin": true, "gridcolor": "white", "linecolor": "white", "ticks": "", "title": { "standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 } } }, "title": { "text": "Diffusion. System snapshot at time t=11.999999999999973" }, "xaxis": { "anchor": "y", "autorange": true, "domain": [ 0, 1 ], "range": [ 0, 8 ], "title": { "text": "Bin number" }, "type": "linear" }, "yaxis": { "anchor": "x", "autorange": true, "domain": [ 0, 1 ], "range": [ 1.3281929821304042, 2.9628616461141792 ], "title": { "text": "concentration" }, "type": "linear" } } }, "image/png": "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", "text/html": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "[GRAPHIC ELEMENT SENT TO LOG FILE `reach_equilibrium_2.log.htm`]\n", "[GRAPHIC ELEMENT SENT TO LOG FILE `reach_equilibrium_2.log.htm`]\n", "\n", "After Delta time 3.0. TOTAL TIME 14.999999999999963 (30 steps taken):\n", "SYSTEM STATE at Time t = 14.999999999999963:\n", "[[1.61375804 2.17517282 2.62918072 2.4582931 2.24719065 2.4582931\n", " 2.62918072 2.17517282 1.61375804]]\n" ] }, { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "hovertemplate": "Chemical=A
Bin number=%{x}
concentration=%{y}", "legendgroup": "A", "line": { "color": "red", "dash": "solid" }, "marker": { "symbol": "circle" }, "mode": "lines", "name": "A", "orientation": "v", "showlegend": true, "type": "scatter", "x": [ 0, 1, 2, 3, 4, 5, 6, 7, 8 ], "xaxis": "x", "y": [ 1.613758038392865, 2.175172822053204, 2.6291807177573876, 2.4582930954812934, 2.2471906526304966, 2.4582930954812934, 2.6291807177573876, 2.175172822053204, 1.613758038392865 ], "yaxis": "y" } ], "layout": { "autosize": true, "legend": { "title": { "text": "Chemical" }, "tracegroupgap": 0 }, "template": { "data": { "bar": [ { "error_x": { "color": "#2a3f5f" }, "error_y": { "color": "#2a3f5f" }, "marker": { "line": { "color": "#E5ECF6", "width": 0.5 }, "pattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 } }, "type": "bar" } ], "barpolar": [ { "marker": { "line": { "color": "#E5ECF6", "width": 0.5 }, "pattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 } }, "type": "barpolar" } ], "carpet": [ { "aaxis": { "endlinecolor": "#2a3f5f", "gridcolor": "white", "linecolor": "white", "minorgridcolor": "white", "startlinecolor": "#2a3f5f" }, "baxis": { "endlinecolor": "#2a3f5f", "gridcolor": "white", "linecolor": "white", "minorgridcolor": "white", "startlinecolor": "#2a3f5f" }, "type": "carpet" } ], "choropleth": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "type": "choropleth" } ], "contour": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "contour" } ], "contourcarpet": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "type": "contourcarpet" } ], "heatmap": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "heatmap" } ], "heatmapgl": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "heatmapgl" } ], "histogram": [ { "marker": { "pattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 } }, "type": "histogram" } ], "histogram2d": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "histogram2d" } ], "histogram2dcontour": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "histogram2dcontour" } ], "mesh3d": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "type": "mesh3d" } ], "parcoords": [ { "line": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "parcoords" } ], "pie": [ { "automargin": true, "type": "pie" } ], "scatter": [ { "fillpattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 }, "type": "scatter" } ], "scatter3d": [ { "line": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatter3d" } ], "scattercarpet": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattercarpet" } ], "scattergeo": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattergeo" } ], "scattergl": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattergl" } ], "scattermapbox": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattermapbox" } ], "scatterpolar": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatterpolar" } ], "scatterpolargl": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatterpolargl" } ], "scatterternary": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatterternary" } ], "surface": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "surface" } ], "table": [ { "cells": { "fill": { "color": "#EBF0F8" }, "line": { "color": "white" } }, "header": { "fill": { "color": "#C8D4E3" }, "line": { "color": "white" } }, "type": "table" } ] }, "layout": { "annotationdefaults": { "arrowcolor": "#2a3f5f", "arrowhead": 0, "arrowwidth": 1 }, "autotypenumbers": "strict", "coloraxis": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "colorscale": { "diverging": [ [ 0, "#8e0152" ], [ 0.1, "#c51b7d" ], [ 0.2, "#de77ae" ], [ 0.3, "#f1b6da" ], [ 0.4, "#fde0ef" ], [ 0.5, "#f7f7f7" ], [ 0.6, "#e6f5d0" ], [ 0.7, "#b8e186" ], [ 0.8, "#7fbc41" ], [ 0.9, "#4d9221" ], [ 1, "#276419" ] ], "sequential": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "sequentialminus": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ] }, "colorway": [ "#636efa", "#EF553B", "#00cc96", "#ab63fa", "#FFA15A", "#19d3f3", "#FF6692", "#B6E880", "#FF97FF", "#FECB52" ], "font": { "color": "#2a3f5f" }, "geo": { "bgcolor": "white", "lakecolor": "white", "landcolor": "#E5ECF6", "showlakes": true, "showland": true, "subunitcolor": "white" }, "hoverlabel": { "align": "left" }, "hovermode": "closest", "mapbox": { "style": "light" }, "paper_bgcolor": "white", "plot_bgcolor": "#E5ECF6", "polar": { "angularaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "bgcolor": "#E5ECF6", "radialaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" } }, "scene": { "xaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" }, "yaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" }, "zaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" } }, "shapedefaults": { "line": { "color": "#2a3f5f" } }, "ternary": { "aaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "baxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "bgcolor": "#E5ECF6", "caxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" } }, "title": { "x": 0.05 }, "xaxis": { "automargin": true, "gridcolor": "white", "linecolor": "white", "ticks": "", "title": { "standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 }, "yaxis": { "automargin": true, "gridcolor": "white", "linecolor": "white", "ticks": "", "title": { "standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 } } }, "title": { "text": "Diffusion. System snapshot at time t=14.999999999999963" }, "xaxis": { "anchor": "y", "autorange": true, "domain": [ 0, 1 ], "range": [ 0, 8 ], "title": { "text": "Bin number" }, "type": "linear" }, "yaxis": { "anchor": "x", "autorange": true, "domain": [ 0, 1 ], "range": [ 1.557345667317058, 2.6855930888331945 ], "title": { "text": "concentration" }, "type": "linear" } } }, "image/png": "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", "text/html": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "[GRAPHIC ELEMENT SENT TO LOG FILE `reach_equilibrium_2.log.htm`]\n", "[GRAPHIC ELEMENT SENT TO LOG FILE `reach_equilibrium_2.log.htm`]\n", "\n", "After Delta time 3.0. TOTAL TIME 17.999999999999986 (30 steps taken):\n", "SYSTEM STATE at Time t = 17.999999999999986:\n", "[[1.75622069 2.14971234 2.4820061 2.44230075 2.33952022 2.44230075\n", " 2.4820061 2.14971234 1.75622069]]\n" ] }, { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "hovertemplate": "Chemical=A
Bin number=%{x}
concentration=%{y}", "legendgroup": "A", "line": { "color": "red", "dash": "solid" }, "marker": { "symbol": "circle" }, "mode": "lines", "name": "A", "orientation": "v", "showlegend": true, "type": "scatter", "x": [ 0, 1, 2, 3, 4, 5, 6, 7, 8 ], "xaxis": "x", "y": [ 1.7562206924203536, 2.1497123376842286, 2.482006103989057, 2.442300753753672, 2.3395202243053688, 2.442300753753672, 2.482006103989057, 2.1497123376842286, 1.7562206924203536 ], "yaxis": "y" } ], "layout": { "autosize": true, "legend": { "title": { "text": "Chemical" }, "tracegroupgap": 0 }, "template": { "data": { "bar": [ { "error_x": { "color": "#2a3f5f" }, "error_y": { "color": "#2a3f5f" }, "marker": { "line": { "color": "#E5ECF6", "width": 0.5 }, "pattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 } }, "type": "bar" } ], "barpolar": [ { "marker": { "line": { "color": "#E5ECF6", "width": 0.5 }, "pattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 } }, "type": "barpolar" } ], "carpet": [ { "aaxis": { "endlinecolor": "#2a3f5f", "gridcolor": "white", "linecolor": "white", "minorgridcolor": "white", "startlinecolor": "#2a3f5f" }, "baxis": { "endlinecolor": "#2a3f5f", "gridcolor": "white", "linecolor": "white", "minorgridcolor": "white", "startlinecolor": "#2a3f5f" }, "type": "carpet" } ], "choropleth": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "type": "choropleth" } ], "contour": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "contour" } ], "contourcarpet": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "type": "contourcarpet" } ], "heatmap": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "heatmap" } ], "heatmapgl": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "heatmapgl" } ], "histogram": [ { "marker": { "pattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 } }, "type": "histogram" } ], "histogram2d": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "histogram2d" } ], "histogram2dcontour": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "histogram2dcontour" } ], "mesh3d": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "type": "mesh3d" } ], "parcoords": [ { "line": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "parcoords" } ], "pie": [ { "automargin": true, "type": "pie" } ], "scatter": [ { "fillpattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 }, "type": "scatter" } ], "scatter3d": [ { "line": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatter3d" } ], "scattercarpet": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattercarpet" } ], "scattergeo": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattergeo" } ], "scattergl": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattergl" } ], "scattermapbox": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattermapbox" } ], "scatterpolar": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatterpolar" } ], "scatterpolargl": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatterpolargl" } ], "scatterternary": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatterternary" } ], "surface": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "surface" } ], "table": [ { "cells": { "fill": { "color": "#EBF0F8" }, "line": { "color": "white" } }, "header": { "fill": { "color": "#C8D4E3" }, "line": { "color": "white" } }, "type": "table" } ] }, "layout": { "annotationdefaults": { "arrowcolor": "#2a3f5f", "arrowhead": 0, "arrowwidth": 1 }, "autotypenumbers": "strict", "coloraxis": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "colorscale": { "diverging": [ [ 0, "#8e0152" ], [ 0.1, "#c51b7d" ], [ 0.2, "#de77ae" ], [ 0.3, "#f1b6da" ], [ 0.4, "#fde0ef" ], [ 0.5, "#f7f7f7" ], [ 0.6, "#e6f5d0" ], [ 0.7, "#b8e186" ], [ 0.8, "#7fbc41" ], [ 0.9, "#4d9221" ], [ 1, "#276419" ] ], "sequential": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "sequentialminus": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ] }, "colorway": [ "#636efa", "#EF553B", "#00cc96", "#ab63fa", "#FFA15A", "#19d3f3", "#FF6692", "#B6E880", "#FF97FF", "#FECB52" ], "font": { "color": "#2a3f5f" }, "geo": { "bgcolor": "white", "lakecolor": "white", "landcolor": "#E5ECF6", "showlakes": true, "showland": true, "subunitcolor": "white" }, "hoverlabel": { "align": "left" }, "hovermode": "closest", "mapbox": { "style": "light" }, "paper_bgcolor": "white", "plot_bgcolor": "#E5ECF6", "polar": { "angularaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "bgcolor": "#E5ECF6", "radialaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" } }, "scene": { "xaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" }, "yaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" }, "zaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" } }, "shapedefaults": { "line": { "color": "#2a3f5f" } }, "ternary": { "aaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "baxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "bgcolor": "#E5ECF6", "caxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" } }, "title": { "x": 0.05 }, "xaxis": { "automargin": true, "gridcolor": "white", "linecolor": "white", "ticks": "", "title": { "standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 }, "yaxis": { "automargin": true, "gridcolor": "white", "linecolor": "white", "ticks": "", "title": { "standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 } } }, "title": { "text": "Diffusion. System snapshot at time t=17.999999999999986" }, "xaxis": { "anchor": "y", "autorange": true, "domain": [ 0, 1 ], "range": [ 0, 8 ], "title": { "text": "Bin number" }, "type": "linear" }, "yaxis": { "anchor": "x", "autorange": true, "domain": [ 0, 1 ], "range": [ 1.7158992806665367, 2.522327515742874 ], "title": { "text": "concentration" }, "type": "linear" } } }, "image/png": "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", "text/html": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "[GRAPHIC ELEMENT SENT TO LOG FILE `reach_equilibrium_2.log.htm`]\n", "[GRAPHIC ELEMENT SENT TO LOG FILE `reach_equilibrium_2.log.htm`]\n", "\n", "After Delta time 3.0. TOTAL TIME 21.00000000000003 (30 steps taken):\n", "SYSTEM STATE at Time t = 21.00000000000003:\n", "[[1.8567287 2.13705992 2.39331754 2.42217874 2.38143019 2.42217874\n", " 2.39331754 2.13705992 1.8567287 ]]\n" ] }, { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "hovertemplate": "Chemical=A
Bin number=%{x}
concentration=%{y}", "legendgroup": "A", "line": { "color": "red", "dash": "solid" }, "marker": { "symbol": "circle" }, "mode": "lines", "name": "A", "orientation": "v", "showlegend": true, "type": "scatter", "x": [ 0, 1, 2, 3, 4, 5, 6, 7, 8 ], "xaxis": "x", "y": [ 1.8567286969212466, 2.1370599245060213, 2.39331754309645, 2.4221787389072844, 2.3814301931379864, 2.4221787389072844, 2.39331754309645, 2.1370599245060213, 1.8567286969212466 ], "yaxis": "y" } ], "layout": { "autosize": true, "legend": { "title": { "text": "Chemical" }, "tracegroupgap": 0 }, "template": { "data": { "bar": [ { "error_x": { "color": "#2a3f5f" }, "error_y": { "color": "#2a3f5f" }, "marker": { "line": { "color": "#E5ECF6", "width": 0.5 }, "pattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 } }, "type": "bar" } ], "barpolar": [ { "marker": { "line": { "color": "#E5ECF6", "width": 0.5 }, "pattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 } }, "type": "barpolar" } ], "carpet": [ { "aaxis": { "endlinecolor": "#2a3f5f", "gridcolor": "white", "linecolor": "white", "minorgridcolor": "white", "startlinecolor": "#2a3f5f" }, "baxis": { "endlinecolor": "#2a3f5f", "gridcolor": "white", "linecolor": "white", "minorgridcolor": "white", "startlinecolor": "#2a3f5f" }, "type": "carpet" } ], "choropleth": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "type": "choropleth" } ], "contour": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "contour" } ], "contourcarpet": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "type": "contourcarpet" } ], "heatmap": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "heatmap" } ], "heatmapgl": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "heatmapgl" } ], "histogram": [ { "marker": { "pattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 } }, "type": "histogram" } ], "histogram2d": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "histogram2d" } ], "histogram2dcontour": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "histogram2dcontour" } ], "mesh3d": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "type": "mesh3d" } ], "parcoords": [ { "line": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "parcoords" } ], "pie": [ { "automargin": true, "type": "pie" } ], "scatter": [ { "fillpattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 }, "type": "scatter" } ], "scatter3d": [ { "line": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatter3d" } ], "scattercarpet": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattercarpet" } ], "scattergeo": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattergeo" } ], "scattergl": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattergl" } ], "scattermapbox": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattermapbox" } ], "scatterpolar": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatterpolar" } ], "scatterpolargl": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatterpolargl" } ], "scatterternary": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatterternary" } ], "surface": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "surface" } ], "table": [ { "cells": { "fill": { "color": "#EBF0F8" }, "line": { "color": "white" } }, "header": { "fill": { "color": "#C8D4E3" }, "line": { "color": "white" } }, "type": "table" } ] }, "layout": { "annotationdefaults": { "arrowcolor": "#2a3f5f", "arrowhead": 0, "arrowwidth": 1 }, "autotypenumbers": "strict", "coloraxis": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "colorscale": { "diverging": [ [ 0, "#8e0152" ], [ 0.1, "#c51b7d" ], [ 0.2, "#de77ae" ], [ 0.3, "#f1b6da" ], [ 0.4, "#fde0ef" ], [ 0.5, "#f7f7f7" ], [ 0.6, "#e6f5d0" ], [ 0.7, "#b8e186" ], [ 0.8, "#7fbc41" ], [ 0.9, "#4d9221" ], [ 1, "#276419" ] ], "sequential": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "sequentialminus": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ] }, "colorway": [ "#636efa", "#EF553B", "#00cc96", "#ab63fa", "#FFA15A", "#19d3f3", "#FF6692", "#B6E880", "#FF97FF", "#FECB52" ], "font": { "color": "#2a3f5f" }, "geo": { "bgcolor": "white", "lakecolor": "white", "landcolor": "#E5ECF6", "showlakes": true, "showland": true, "subunitcolor": "white" }, "hoverlabel": { "align": "left" }, "hovermode": "closest", "mapbox": { "style": "light" }, "paper_bgcolor": "white", "plot_bgcolor": "#E5ECF6", "polar": { "angularaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "bgcolor": "#E5ECF6", "radialaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" } }, "scene": { "xaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" }, "yaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" }, "zaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" } }, "shapedefaults": { "line": { "color": "#2a3f5f" } }, "ternary": { "aaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "baxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "bgcolor": "#E5ECF6", "caxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" } }, "title": { "x": 0.05 }, "xaxis": { "automargin": true, "gridcolor": "white", "linecolor": "white", "ticks": "", "title": { "standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 }, "yaxis": { "automargin": true, "gridcolor": "white", "linecolor": "white", "ticks": "", "title": { "standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 } } }, "title": { "text": "Diffusion. System snapshot at time t=21.00000000000003" }, "xaxis": { "anchor": "y", "autorange": true, "domain": [ 0, 1 ], "range": [ 0, 8 ], "title": { "text": "Bin number" }, "type": "linear" }, "yaxis": { "anchor": "x", "autorange": true, "domain": [ 0, 1 ], "range": [ 1.8253148056998, 2.453592630128731 ], "title": { "text": "concentration" }, "type": "linear" } } }, "image/png": "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", "text/html": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "[GRAPHIC ELEMENT SENT TO LOG FILE `reach_equilibrium_2.log.htm`]\n", "[GRAPHIC ELEMENT SENT TO LOG FILE `reach_equilibrium_2.log.htm`]\n", "\n", "After Delta time 3.0. TOTAL TIME 24.00000000000007 (30 steps taken):\n", "SYSTEM STATE at Time t = 24.00000000000007:\n", "[[1.92909045 2.13366871 2.33854991 2.40125523 2.39487141 2.40125523\n", " 2.33854991 2.13366871 1.92909045]]\n" ] }, { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "hovertemplate": "Chemical=A
Bin number=%{x}
concentration=%{y}", "legendgroup": "A", "line": { "color": "red", "dash": "solid" }, "marker": { "symbol": "circle" }, "mode": "lines", "name": "A", "orientation": "v", "showlegend": true, "type": "scatter", "x": [ 0, 1, 2, 3, 4, 5, 6, 7, 8 ], "xaxis": "x", "y": [ 1.9290904512096514, 2.1336687072235554, 2.338549909758913, 2.401255228202855, 2.394871407210042, 2.401255228202855, 2.338549909758913, 2.1336687072235554, 1.9290904512096514 ], "yaxis": "y" } ], "layout": { "autosize": true, "legend": { "title": { "text": "Chemical" }, "tracegroupgap": 0 }, "template": { "data": { "bar": [ { "error_x": { "color": "#2a3f5f" }, "error_y": { "color": "#2a3f5f" }, "marker": { "line": { "color": "#E5ECF6", "width": 0.5 }, "pattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 } }, "type": "bar" } ], "barpolar": [ { "marker": { "line": { "color": "#E5ECF6", "width": 0.5 }, "pattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 } }, "type": "barpolar" } ], "carpet": [ { "aaxis": { "endlinecolor": "#2a3f5f", "gridcolor": "white", "linecolor": "white", "minorgridcolor": "white", "startlinecolor": "#2a3f5f" }, "baxis": { "endlinecolor": "#2a3f5f", "gridcolor": "white", "linecolor": "white", "minorgridcolor": "white", "startlinecolor": "#2a3f5f" }, "type": "carpet" } ], "choropleth": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "type": "choropleth" } ], "contour": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "contour" } ], "contourcarpet": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "type": "contourcarpet" } ], "heatmap": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "heatmap" } ], "heatmapgl": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "heatmapgl" } ], "histogram": [ { "marker": { "pattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 } }, "type": "histogram" } ], "histogram2d": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "histogram2d" } ], "histogram2dcontour": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "histogram2dcontour" } ], "mesh3d": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "type": "mesh3d" } ], "parcoords": [ { "line": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "parcoords" } ], "pie": [ { "automargin": true, "type": "pie" } ], "scatter": [ { "fillpattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 }, "type": "scatter" } ], "scatter3d": [ { "line": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatter3d" } ], "scattercarpet": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattercarpet" } ], "scattergeo": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattergeo" } ], "scattergl": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattergl" } ], "scattermapbox": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattermapbox" } ], "scatterpolar": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatterpolar" } ], "scatterpolargl": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatterpolargl" } ], "scatterternary": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatterternary" } ], "surface": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "surface" } ], "table": [ { "cells": { "fill": { "color": "#EBF0F8" }, "line": { "color": "white" } }, "header": { "fill": { "color": "#C8D4E3" }, "line": { "color": "white" } }, "type": "table" } ] }, "layout": { "annotationdefaults": { "arrowcolor": "#2a3f5f", "arrowhead": 0, "arrowwidth": 1 }, "autotypenumbers": "strict", "coloraxis": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "colorscale": { "diverging": [ [ 0, "#8e0152" ], [ 0.1, "#c51b7d" ], [ 0.2, "#de77ae" ], [ 0.3, "#f1b6da" ], [ 0.4, "#fde0ef" ], [ 0.5, "#f7f7f7" ], [ 0.6, "#e6f5d0" ], [ 0.7, "#b8e186" ], [ 0.8, "#7fbc41" ], [ 0.9, "#4d9221" ], [ 1, "#276419" ] ], "sequential": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "sequentialminus": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ] }, "colorway": [ "#636efa", "#EF553B", "#00cc96", "#ab63fa", "#FFA15A", "#19d3f3", "#FF6692", "#B6E880", "#FF97FF", "#FECB52" ], "font": { "color": "#2a3f5f" }, "geo": { "bgcolor": "white", "lakecolor": "white", "landcolor": "#E5ECF6", "showlakes": true, "showland": true, "subunitcolor": "white" }, "hoverlabel": { "align": "left" }, "hovermode": "closest", "mapbox": { "style": "light" }, "paper_bgcolor": "white", "plot_bgcolor": "#E5ECF6", "polar": { "angularaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "bgcolor": "#E5ECF6", "radialaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" } }, "scene": { "xaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" }, "yaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" }, "zaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" } }, "shapedefaults": { "line": { "color": "#2a3f5f" } }, "ternary": { "aaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "baxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "bgcolor": "#E5ECF6", "caxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" } }, "title": { "x": 0.05 }, "xaxis": { "automargin": true, "gridcolor": "white", "linecolor": "white", "ticks": "", "title": { "standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 }, "yaxis": { "automargin": true, "gridcolor": "white", "linecolor": "white", "ticks": "", "title": { "standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 } } }, "title": { "text": "Diffusion. System snapshot at time t=24.00000000000007" }, "xaxis": { "anchor": "y", "autorange": true, "domain": [ 0, 1 ], "range": [ 0, 8 ], "title": { "text": "Bin number" }, "type": "linear" }, "yaxis": { "anchor": "x", "autorange": true, "domain": [ 0, 1 ], "range": [ 1.902859074710029, 2.4274866047024775 ], "title": { "text": "concentration" }, "type": "linear" } } }, "image/png": "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", "text/html": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "[GRAPHIC ELEMENT SENT TO LOG FILE `reach_equilibrium_2.log.htm`]\n", "[GRAPHIC ELEMENT SENT TO LOG FILE `reach_equilibrium_2.log.htm`]\n", "\n", "After Delta time 3.0. TOTAL TIME 27.000000000000114 (30 steps taken):\n", "SYSTEM STATE at Time t = 27.000000000000114:\n", "[[1.98256145 2.13602714 2.30397039 2.38102863 2.39282476 2.38102863\n", " 2.30397039 2.13602714 1.98256145]]\n" ] }, { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "hovertemplate": "Chemical=A
Bin number=%{x}
concentration=%{y}", "legendgroup": "A", "line": { "color": "red", "dash": "solid" }, "marker": { "symbol": "circle" }, "mode": "lines", "name": "A", "orientation": "v", "showlegend": true, "type": "scatter", "x": [ 0, 1, 2, 3, 4, 5, 6, 7, 8 ], "xaxis": "x", "y": [ 1.9825614542113417, 2.136027137891997, 2.3039703943224974, 2.381028631812468, 2.392824763523386, 2.381028631812468, 2.3039703943224974, 2.136027137891997, 1.9825614542113417 ], "yaxis": "y" } ], "layout": { "autosize": true, "legend": { "title": { "text": "Chemical" }, "tracegroupgap": 0 }, "template": { "data": { "bar": [ { "error_x": { "color": "#2a3f5f" }, "error_y": { "color": "#2a3f5f" }, "marker": { "line": { "color": "#E5ECF6", "width": 0.5 }, "pattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 } }, "type": "bar" } ], "barpolar": [ { "marker": { "line": { "color": "#E5ECF6", "width": 0.5 }, "pattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 } }, "type": "barpolar" } ], "carpet": [ { "aaxis": { "endlinecolor": "#2a3f5f", "gridcolor": "white", "linecolor": "white", "minorgridcolor": "white", "startlinecolor": "#2a3f5f" }, "baxis": { "endlinecolor": "#2a3f5f", "gridcolor": "white", "linecolor": "white", "minorgridcolor": "white", "startlinecolor": "#2a3f5f" }, "type": "carpet" } ], "choropleth": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "type": "choropleth" } ], "contour": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "contour" } ], "contourcarpet": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "type": "contourcarpet" } ], "heatmap": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "heatmap" } ], "heatmapgl": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "heatmapgl" } ], "histogram": [ { "marker": { "pattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 } }, "type": "histogram" } ], "histogram2d": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "histogram2d" } ], "histogram2dcontour": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "histogram2dcontour" } ], "mesh3d": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "type": "mesh3d" } ], "parcoords": [ { "line": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "parcoords" } ], "pie": [ { "automargin": true, "type": "pie" } ], "scatter": [ { "fillpattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 }, "type": "scatter" } ], "scatter3d": [ { "line": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatter3d" } ], "scattercarpet": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattercarpet" } ], "scattergeo": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattergeo" } ], "scattergl": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattergl" } ], "scattermapbox": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattermapbox" } ], "scatterpolar": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatterpolar" } ], "scatterpolargl": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatterpolargl" } ], "scatterternary": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatterternary" } ], "surface": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "surface" } ], "table": [ { "cells": { "fill": { "color": "#EBF0F8" }, "line": { "color": "white" } }, "header": { "fill": { "color": "#C8D4E3" }, "line": { "color": "white" } }, "type": "table" } ] }, "layout": { "annotationdefaults": { "arrowcolor": "#2a3f5f", "arrowhead": 0, "arrowwidth": 1 }, "autotypenumbers": "strict", "coloraxis": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "colorscale": { "diverging": [ [ 0, "#8e0152" ], [ 0.1, "#c51b7d" ], [ 0.2, "#de77ae" ], [ 0.3, "#f1b6da" ], [ 0.4, "#fde0ef" ], [ 0.5, "#f7f7f7" ], [ 0.6, "#e6f5d0" ], [ 0.7, "#b8e186" ], [ 0.8, "#7fbc41" ], [ 0.9, "#4d9221" ], [ 1, "#276419" ] ], "sequential": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "sequentialminus": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ] }, "colorway": [ "#636efa", "#EF553B", "#00cc96", "#ab63fa", "#FFA15A", "#19d3f3", "#FF6692", "#B6E880", "#FF97FF", "#FECB52" ], "font": { "color": "#2a3f5f" }, "geo": { "bgcolor": "white", "lakecolor": "white", "landcolor": "#E5ECF6", "showlakes": true, "showland": true, "subunitcolor": "white" }, "hoverlabel": { "align": "left" }, "hovermode": "closest", "mapbox": { "style": "light" }, "paper_bgcolor": "white", "plot_bgcolor": "#E5ECF6", "polar": { "angularaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "bgcolor": "#E5ECF6", "radialaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" } }, "scene": { "xaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" }, "yaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" }, "zaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" } }, "shapedefaults": { "line": { "color": "#2a3f5f" } }, "ternary": { "aaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "baxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "bgcolor": "#E5ECF6", "caxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" } }, "title": { "x": 0.05 }, "xaxis": { "automargin": true, "gridcolor": "white", "linecolor": "white", "ticks": "", "title": { "standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 }, "yaxis": { "automargin": true, "gridcolor": "white", "linecolor": "white", "ticks": "", "title": { "standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 } } }, "title": { "text": "Diffusion. System snapshot at time t=27.000000000000114" }, "xaxis": { "anchor": "y", "autorange": true, "domain": [ 0, 1 ], "range": [ 0, 8 ], "title": { "text": "Bin number" }, "type": "linear" }, "yaxis": { "anchor": "x", "autorange": true, "domain": [ 0, 1 ], "range": [ 1.9597690481384502, 2.415617169596277 ], "title": { "text": "concentration" }, "type": "linear" } } }, "image/png": "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", "text/html": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "[GRAPHIC ELEMENT SENT TO LOG FILE `reach_equilibrium_2.log.htm`]\n", "[GRAPHIC ELEMENT SENT TO LOG FILE `reach_equilibrium_2.log.htm`]\n", "\n", "After Delta time 3.0. TOTAL TIME 30.000000000000156 (30 steps taken):\n", "SYSTEM STATE at Time t = 30.000000000000156:\n", "[[2.0231929 2.14155643 2.28163209 2.3622001 2.38283695 2.3622001\n", " 2.28163209 2.14155643 2.0231929 ]]\n" ] }, { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "hovertemplate": "Chemical=A
Bin number=%{x}
concentration=%{y}", "legendgroup": "A", "line": { "color": "red", "dash": "solid" }, "marker": { "symbol": "circle" }, "mode": "lines", "name": "A", "orientation": "v", "showlegend": true, "type": "scatter", "x": [ 0, 1, 2, 3, 4, 5, 6, 7, 8 ], "xaxis": "x", "y": [ 2.0231929040522125, 2.1415564318810665, 2.281632091682967, 2.362200096534981, 2.3828369516975374, 2.362200096534981, 2.281632091682967, 2.1415564318810665, 2.0231929040522125 ], "yaxis": "y" } ], "layout": { "autosize": true, "legend": { "title": { "text": "Chemical" }, "tracegroupgap": 0 }, "template": { "data": { "bar": [ { "error_x": { "color": "#2a3f5f" }, "error_y": { "color": "#2a3f5f" }, "marker": { "line": { "color": "#E5ECF6", "width": 0.5 }, "pattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 } }, "type": "bar" } ], "barpolar": [ { "marker": { "line": { "color": "#E5ECF6", "width": 0.5 }, "pattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 } }, "type": "barpolar" } ], "carpet": [ { "aaxis": { "endlinecolor": "#2a3f5f", "gridcolor": "white", "linecolor": "white", "minorgridcolor": "white", "startlinecolor": "#2a3f5f" }, "baxis": { "endlinecolor": "#2a3f5f", "gridcolor": "white", "linecolor": "white", "minorgridcolor": "white", "startlinecolor": "#2a3f5f" }, "type": "carpet" } ], "choropleth": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "type": "choropleth" } ], "contour": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "contour" } ], "contourcarpet": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "type": "contourcarpet" } ], "heatmap": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "heatmap" } ], "heatmapgl": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "heatmapgl" } ], "histogram": [ { "marker": { "pattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 } }, "type": "histogram" } ], "histogram2d": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "histogram2d" } ], "histogram2dcontour": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "histogram2dcontour" } ], "mesh3d": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "type": "mesh3d" } ], "parcoords": [ { "line": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "parcoords" } ], "pie": [ { "automargin": true, "type": "pie" } ], "scatter": [ { "fillpattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 }, "type": "scatter" } ], "scatter3d": [ { "line": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatter3d" } ], "scattercarpet": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattercarpet" } ], "scattergeo": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattergeo" } ], "scattergl": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattergl" } ], "scattermapbox": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattermapbox" } ], "scatterpolar": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatterpolar" } ], "scatterpolargl": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatterpolargl" } ], "scatterternary": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatterternary" } ], "surface": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "surface" } ], "table": [ { "cells": { "fill": { "color": "#EBF0F8" }, "line": { "color": "white" } }, "header": { "fill": { "color": "#C8D4E3" }, "line": { "color": "white" } }, "type": "table" } ] }, "layout": { "annotationdefaults": { "arrowcolor": "#2a3f5f", "arrowhead": 0, "arrowwidth": 1 }, "autotypenumbers": "strict", "coloraxis": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "colorscale": { "diverging": [ [ 0, "#8e0152" ], [ 0.1, "#c51b7d" ], [ 0.2, "#de77ae" ], [ 0.3, "#f1b6da" ], [ 0.4, "#fde0ef" ], [ 0.5, "#f7f7f7" ], [ 0.6, "#e6f5d0" ], [ 0.7, "#b8e186" ], [ 0.8, "#7fbc41" ], [ 0.9, "#4d9221" ], [ 1, "#276419" ] ], "sequential": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "sequentialminus": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ] }, "colorway": [ "#636efa", "#EF553B", "#00cc96", "#ab63fa", "#FFA15A", "#19d3f3", "#FF6692", "#B6E880", "#FF97FF", "#FECB52" ], "font": { "color": "#2a3f5f" }, "geo": { "bgcolor": "white", "lakecolor": "white", "landcolor": "#E5ECF6", "showlakes": true, "showland": true, "subunitcolor": "white" }, "hoverlabel": { "align": "left" }, "hovermode": "closest", "mapbox": { "style": "light" }, "paper_bgcolor": "white", "plot_bgcolor": "#E5ECF6", "polar": { "angularaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "bgcolor": "#E5ECF6", "radialaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" } }, "scene": { "xaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" }, "yaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" }, "zaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" } }, "shapedefaults": { "line": { "color": "#2a3f5f" } }, "ternary": { "aaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "baxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "bgcolor": "#E5ECF6", "caxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" } }, "title": { "x": 0.05 }, "xaxis": { "automargin": true, "gridcolor": "white", "linecolor": "white", "ticks": "", "title": { "standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 }, "yaxis": { "automargin": true, "gridcolor": "white", "linecolor": "white", "ticks": "", "title": { "standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 } } }, "title": { "text": "Diffusion. System snapshot at time t=30.000000000000156" }, "xaxis": { "anchor": "y", "autorange": true, "domain": [ 0, 1 ], "range": [ 0, 8 ], "title": { "text": "Bin number" }, "type": "linear" }, "yaxis": { "anchor": "x", "autorange": true, "domain": [ 0, 1 ], "range": [ 2.0032126791830276, 2.402817176566722 ], "title": { "text": "concentration" }, "type": "linear" } } }, "image/png": "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", "text/html": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "[GRAPHIC ELEMENT SENT TO LOG FILE `reach_equilibrium_2.log.htm`]\n", "[GRAPHIC ELEMENT SENT TO LOG FILE `reach_equilibrium_2.log.htm`]\n", "\n", "After Delta time 3.0. TOTAL TIME 33.0000000000002 (30 steps taken):\n", "SYSTEM STATE at Time t = 33.0000000000002:\n", "[[2.05491235 2.14857175 2.26683188 2.34506617 2.36923571 2.34506617\n", " 2.26683188 2.14857175 2.05491235]]\n" ] }, { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "hovertemplate": "Chemical=A
Bin number=%{x}
concentration=%{y}", "legendgroup": "A", "line": { "color": "red", "dash": "solid" }, "marker": { "symbol": "circle" }, "mode": "lines", "name": "A", "orientation": "v", "showlegend": true, "type": "scatter", "x": [ 0, 1, 2, 3, 4, 5, 6, 7, 8 ], "xaxis": "x", "y": [ 2.054912351261011, 2.1485717454517492, 2.2668318771603513, 2.3450661694458494, 2.369235713362066, 2.3450661694458494, 2.2668318771603513, 2.1485717454517492, 2.054912351261011 ], "yaxis": "y" } ], "layout": { "autosize": true, "legend": { "title": { "text": "Chemical" }, "tracegroupgap": 0 }, "template": { "data": { "bar": [ { "error_x": { "color": "#2a3f5f" }, "error_y": { "color": "#2a3f5f" }, "marker": { "line": { "color": "#E5ECF6", "width": 0.5 }, "pattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 } }, "type": "bar" } ], "barpolar": [ { "marker": { "line": { "color": "#E5ECF6", "width": 0.5 }, "pattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 } }, "type": "barpolar" } ], "carpet": [ { "aaxis": { "endlinecolor": "#2a3f5f", "gridcolor": "white", "linecolor": "white", "minorgridcolor": "white", "startlinecolor": "#2a3f5f" }, "baxis": { "endlinecolor": "#2a3f5f", "gridcolor": "white", "linecolor": "white", "minorgridcolor": "white", "startlinecolor": "#2a3f5f" }, "type": "carpet" } ], "choropleth": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "type": "choropleth" } ], "contour": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "contour" } ], "contourcarpet": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "type": "contourcarpet" } ], "heatmap": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "heatmap" } ], "heatmapgl": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "heatmapgl" } ], "histogram": [ { "marker": { "pattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 } }, "type": "histogram" } ], "histogram2d": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "histogram2d" } ], "histogram2dcontour": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "histogram2dcontour" } ], "mesh3d": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "type": "mesh3d" } ], "parcoords": [ { "line": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "parcoords" } ], "pie": [ { "automargin": true, "type": "pie" } ], "scatter": [ { "fillpattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 }, "type": "scatter" } ], "scatter3d": [ { "line": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatter3d" } ], "scattercarpet": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattercarpet" } ], "scattergeo": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattergeo" } ], "scattergl": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattergl" } ], "scattermapbox": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattermapbox" } ], "scatterpolar": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatterpolar" } ], "scatterpolargl": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatterpolargl" } ], "scatterternary": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatterternary" } ], "surface": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "surface" } ], "table": [ { "cells": { "fill": { "color": "#EBF0F8" }, "line": { "color": "white" } }, "header": { "fill": { "color": "#C8D4E3" }, "line": { "color": "white" } }, "type": "table" } ] }, "layout": { "annotationdefaults": { "arrowcolor": "#2a3f5f", "arrowhead": 0, "arrowwidth": 1 }, "autotypenumbers": "strict", "coloraxis": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "colorscale": { "diverging": [ [ 0, "#8e0152" ], [ 0.1, "#c51b7d" ], [ 0.2, "#de77ae" ], [ 0.3, "#f1b6da" ], [ 0.4, "#fde0ef" ], [ 0.5, "#f7f7f7" ], [ 0.6, "#e6f5d0" ], [ 0.7, "#b8e186" ], [ 0.8, "#7fbc41" ], [ 0.9, "#4d9221" ], [ 1, "#276419" ] ], "sequential": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "sequentialminus": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ] }, "colorway": [ "#636efa", "#EF553B", "#00cc96", "#ab63fa", "#FFA15A", "#19d3f3", "#FF6692", "#B6E880", "#FF97FF", "#FECB52" ], "font": { "color": "#2a3f5f" }, "geo": { "bgcolor": "white", "lakecolor": "white", "landcolor": "#E5ECF6", "showlakes": true, "showland": true, "subunitcolor": "white" }, "hoverlabel": { "align": "left" }, "hovermode": "closest", "mapbox": { "style": "light" }, "paper_bgcolor": "white", "plot_bgcolor": "#E5ECF6", "polar": { "angularaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "bgcolor": "#E5ECF6", "radialaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" } }, "scene": { "xaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" }, "yaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" }, "zaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" } }, "shapedefaults": { "line": { "color": "#2a3f5f" } }, "ternary": { "aaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "baxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "bgcolor": "#E5ECF6", "caxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" } }, "title": { "x": 0.05 }, "xaxis": { "automargin": true, "gridcolor": "white", "linecolor": "white", "ticks": "", "title": { "standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 }, "yaxis": { "automargin": true, "gridcolor": "white", "linecolor": "white", "ticks": "", "title": { "standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 } } }, "title": { "text": "Diffusion. System snapshot at time t=33.0000000000002" }, "xaxis": { "anchor": "y", "autorange": true, "domain": [ 0, 1 ], "range": [ 0, 8 ], "title": { "text": "Bin number" }, "type": "linear" }, "yaxis": { "anchor": "x", "autorange": true, "domain": [ 0, 1 ], "range": [ 2.0374499422553964, 2.3866981223676804 ], "title": { "text": "concentration" }, "type": "linear" } } }, "image/png": "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", "text/html": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "[GRAPHIC ELEMENT SENT TO LOG FILE `reach_equilibrium_2.log.htm`]\n", "[GRAPHIC ELEMENT SENT TO LOG FILE `reach_equilibrium_2.log.htm`]\n", "\n", "After Delta time 3.0. TOTAL TIME 36.00000000000024 (30 steps taken):\n", "SYSTEM STATE at Time t = 36.00000000000024:\n", "[[2.0802789 2.15604676 2.2567439 2.32970151 2.35445786 2.32970151\n", " 2.2567439 2.15604676 2.0802789 ]]\n" ] }, { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "hovertemplate": "Chemical=A
Bin number=%{x}
concentration=%{y}", "legendgroup": "A", "line": { "color": "red", "dash": "solid" }, "marker": { "symbol": "circle" }, "mode": "lines", "name": "A", "orientation": "v", "showlegend": true, "type": "scatter", "x": [ 0, 1, 2, 3, 4, 5, 6, 7, 8 ], "xaxis": "x", "y": [ 2.080278895569189, 2.156046764446936, 2.256743896726884, 2.3297015115979813, 2.35445786331801, 2.3297015115979813, 2.256743896726884, 2.156046764446936, 2.080278895569189 ], "yaxis": "y" } ], "layout": { "autosize": true, "legend": { "title": { "text": "Chemical" }, "tracegroupgap": 0 }, "template": { "data": { "bar": [ { "error_x": { "color": "#2a3f5f" }, "error_y": { "color": "#2a3f5f" }, "marker": { "line": { "color": "#E5ECF6", "width": 0.5 }, "pattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 } }, "type": "bar" } ], "barpolar": [ { "marker": { "line": { "color": "#E5ECF6", "width": 0.5 }, "pattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 } }, "type": "barpolar" } ], "carpet": [ { "aaxis": { "endlinecolor": "#2a3f5f", "gridcolor": "white", "linecolor": "white", "minorgridcolor": "white", "startlinecolor": "#2a3f5f" }, "baxis": { "endlinecolor": "#2a3f5f", "gridcolor": "white", "linecolor": "white", "minorgridcolor": "white", "startlinecolor": "#2a3f5f" }, "type": "carpet" } ], "choropleth": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "type": "choropleth" } ], "contour": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "contour" } ], "contourcarpet": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "type": "contourcarpet" } ], "heatmap": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "heatmap" } ], "heatmapgl": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "heatmapgl" } ], "histogram": [ { "marker": { "pattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 } }, "type": "histogram" } ], "histogram2d": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "histogram2d" } ], "histogram2dcontour": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "histogram2dcontour" } ], "mesh3d": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "type": "mesh3d" } ], "parcoords": [ { "line": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "parcoords" } ], "pie": [ { "automargin": true, "type": "pie" } ], "scatter": [ { "fillpattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 }, "type": "scatter" } ], "scatter3d": [ { "line": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatter3d" } ], "scattercarpet": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattercarpet" } ], "scattergeo": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattergeo" } ], "scattergl": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattergl" } ], "scattermapbox": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattermapbox" } ], "scatterpolar": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatterpolar" } ], "scatterpolargl": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatterpolargl" } ], "scatterternary": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatterternary" } ], "surface": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "surface" } ], "table": [ { "cells": { "fill": { "color": "#EBF0F8" }, "line": { "color": "white" } }, "header": { "fill": { "color": "#C8D4E3" }, "line": { "color": "white" } }, "type": "table" } ] }, "layout": { "annotationdefaults": { "arrowcolor": "#2a3f5f", "arrowhead": 0, "arrowwidth": 1 }, "autotypenumbers": "strict", "coloraxis": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "colorscale": { "diverging": [ [ 0, "#8e0152" ], [ 0.1, "#c51b7d" ], [ 0.2, "#de77ae" ], [ 0.3, "#f1b6da" ], [ 0.4, "#fde0ef" ], [ 0.5, "#f7f7f7" ], [ 0.6, "#e6f5d0" ], [ 0.7, "#b8e186" ], [ 0.8, "#7fbc41" ], [ 0.9, "#4d9221" ], [ 1, "#276419" ] ], "sequential": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "sequentialminus": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ] }, "colorway": [ "#636efa", "#EF553B", "#00cc96", "#ab63fa", "#FFA15A", "#19d3f3", "#FF6692", "#B6E880", "#FF97FF", "#FECB52" ], "font": { "color": "#2a3f5f" }, "geo": { "bgcolor": "white", "lakecolor": "white", "landcolor": "#E5ECF6", "showlakes": true, "showland": true, "subunitcolor": "white" }, "hoverlabel": { "align": "left" }, "hovermode": "closest", "mapbox": { "style": "light" }, "paper_bgcolor": "white", "plot_bgcolor": "#E5ECF6", "polar": { "angularaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "bgcolor": "#E5ECF6", "radialaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" } }, "scene": { "xaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" }, "yaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" }, "zaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" } }, "shapedefaults": { "line": { "color": "#2a3f5f" } }, "ternary": { "aaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "baxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "bgcolor": "#E5ECF6", "caxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" } }, "title": { "x": 0.05 }, "xaxis": { "automargin": true, "gridcolor": "white", "linecolor": "white", "ticks": "", "title": { "standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 }, "yaxis": { "automargin": true, "gridcolor": "white", "linecolor": "white", "ticks": "", "title": { "standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 } } }, "title": { "text": "Diffusion. System snapshot at time t=36.00000000000024" }, "xaxis": { "anchor": "y", "autorange": true, "domain": [ 0, 1 ], "range": [ 0, 8 ], "title": { "text": "Bin number" }, "type": "linear" }, "yaxis": { "anchor": "x", "autorange": true, "domain": [ 0, 1 ], "range": [ 2.065046730694254, 2.3696900281929443 ], "title": { "text": "concentration" }, "type": "linear" } } }, "image/png": "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", "text/html": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "[GRAPHIC ELEMENT SENT TO LOG FILE `reach_equilibrium_2.log.htm`]\n", "[GRAPHIC ELEMENT SENT TO LOG FILE `reach_equilibrium_2.log.htm`]\n", "\n", "After Delta time 3.0. TOTAL TIME 39.000000000000284 (30 steps taken):\n", "SYSTEM STATE at Time t = 39.000000000000284:\n", "[[2.1009805 2.16339318 2.24965092 2.31605836 2.33983408 2.31605836\n", " 2.24965092 2.16339318 2.1009805 ]]\n" ] }, { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "hovertemplate": "Chemical=A
Bin number=%{x}
concentration=%{y}", "legendgroup": "A", "line": { "color": "red", "dash": "solid" }, "marker": { "symbol": "circle" }, "mode": "lines", "name": "A", "orientation": "v", "showlegend": true, "type": "scatter", "x": [ 0, 1, 2, 3, 4, 5, 6, 7, 8 ], "xaxis": "x", "y": [ 2.100980499801245, 2.1633931796010355, 2.249650920414264, 2.3160583593867488, 2.3398340815934007, 2.3160583593867488, 2.249650920414264, 2.1633931796010355, 2.100980499801245 ], "yaxis": "y" } ], "layout": { "autosize": true, "legend": { "title": { "text": "Chemical" }, "tracegroupgap": 0 }, "template": { "data": { "bar": [ { "error_x": { "color": "#2a3f5f" }, "error_y": { "color": "#2a3f5f" }, "marker": { "line": { "color": "#E5ECF6", "width": 0.5 }, "pattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 } }, "type": "bar" } ], "barpolar": [ { "marker": { "line": { "color": "#E5ECF6", "width": 0.5 }, "pattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 } }, "type": "barpolar" } ], "carpet": [ { "aaxis": { "endlinecolor": "#2a3f5f", "gridcolor": "white", "linecolor": "white", "minorgridcolor": "white", "startlinecolor": "#2a3f5f" }, "baxis": { "endlinecolor": "#2a3f5f", "gridcolor": "white", "linecolor": "white", "minorgridcolor": "white", "startlinecolor": "#2a3f5f" }, "type": "carpet" } ], "choropleth": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "type": "choropleth" } ], "contour": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "contour" } ], "contourcarpet": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "type": "contourcarpet" } ], "heatmap": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "heatmap" } ], "heatmapgl": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "heatmapgl" } ], "histogram": [ { "marker": { "pattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 } }, "type": "histogram" } ], "histogram2d": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "histogram2d" } ], "histogram2dcontour": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "histogram2dcontour" } ], "mesh3d": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "type": "mesh3d" } ], "parcoords": [ { "line": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "parcoords" } ], "pie": [ { "automargin": true, "type": "pie" } ], "scatter": [ { "fillpattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 }, "type": "scatter" } ], "scatter3d": [ { "line": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatter3d" } ], "scattercarpet": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattercarpet" } ], "scattergeo": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattergeo" } ], "scattergl": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattergl" } ], "scattermapbox": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattermapbox" } ], "scatterpolar": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatterpolar" } ], "scatterpolargl": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatterpolargl" } ], "scatterternary": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatterternary" } ], "surface": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "surface" } ], "table": [ { "cells": { "fill": { "color": "#EBF0F8" }, "line": { "color": "white" } }, "header": { "fill": { "color": "#C8D4E3" }, "line": { "color": "white" } }, "type": "table" } ] }, "layout": { "annotationdefaults": { "arrowcolor": "#2a3f5f", "arrowhead": 0, "arrowwidth": 1 }, "autotypenumbers": "strict", "coloraxis": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "colorscale": { "diverging": [ [ 0, "#8e0152" ], [ 0.1, "#c51b7d" ], [ 0.2, "#de77ae" ], [ 0.3, "#f1b6da" ], [ 0.4, "#fde0ef" ], [ 0.5, "#f7f7f7" ], [ 0.6, "#e6f5d0" ], [ 0.7, "#b8e186" ], [ 0.8, "#7fbc41" ], [ 0.9, "#4d9221" ], [ 1, "#276419" ] ], "sequential": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "sequentialminus": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ] }, "colorway": [ "#636efa", "#EF553B", "#00cc96", "#ab63fa", "#FFA15A", "#19d3f3", "#FF6692", "#B6E880", "#FF97FF", "#FECB52" ], "font": { "color": "#2a3f5f" }, "geo": { "bgcolor": "white", "lakecolor": "white", "landcolor": "#E5ECF6", "showlakes": true, "showland": true, "subunitcolor": "white" }, "hoverlabel": { "align": "left" }, "hovermode": "closest", "mapbox": { "style": "light" }, "paper_bgcolor": "white", "plot_bgcolor": "#E5ECF6", "polar": { "angularaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "bgcolor": "#E5ECF6", "radialaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" } }, "scene": { "xaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" }, "yaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" }, "zaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" } }, "shapedefaults": { "line": { "color": "#2a3f5f" } }, "ternary": { "aaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "baxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "bgcolor": "#E5ECF6", "caxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" } }, "title": { "x": 0.05 }, "xaxis": { "automargin": true, "gridcolor": "white", "linecolor": "white", "ticks": "", "title": { "standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 }, "yaxis": { "automargin": true, "gridcolor": "white", "linecolor": "white", "ticks": "", "title": { "standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 } } }, "title": { "text": "Diffusion. System snapshot at time t=39.000000000000284" }, "xaxis": { "anchor": "y", "autorange": true, "domain": [ 0, 1 ], "range": [ 0, 8 ], "title": { "text": "Bin number" }, "type": "linear" }, "yaxis": { "anchor": "x", "autorange": true, "domain": [ 0, 1 ], "range": [ 2.0877108563683477, 2.353103725026298 ], "title": { "text": "concentration" }, "type": "linear" } } }, "image/png": "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", "text/html": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "[GRAPHIC ELEMENT SENT TO LOG FILE `reach_equilibrium_2.log.htm`]\n", "[GRAPHIC ELEMENT SENT TO LOG FILE `reach_equilibrium_2.log.htm`]\n", "\n", "After Delta time 3.0. TOTAL TIME 42.00000000000033 (30 steps taken):\n", "SYSTEM STATE at Time t = 42.00000000000033:\n", "[[2.11815199 2.1702984 2.24449902 2.30402493 2.32605132 2.30402493\n", " 2.24449902 2.1702984 2.11815199]]\n" ] }, { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "hovertemplate": "Chemical=A
Bin number=%{x}
concentration=%{y}", "legendgroup": "A", "line": { "color": "red", "dash": "solid" }, "marker": { "symbol": "circle" }, "mode": "lines", "name": "A", "orientation": "v", "showlegend": true, "type": "scatter", "x": [ 0, 1, 2, 3, 4, 5, 6, 7, 8 ], "xaxis": "x", "y": [ 2.118151988729181, 2.1702984047077565, 2.2444990162602876, 2.3040249301277425, 2.326051320350053, 2.3040249301277425, 2.2444990162602876, 2.1702984047077565, 2.118151988729181 ], "yaxis": "y" } ], "layout": { "autosize": true, "legend": { "title": { "text": "Chemical" }, "tracegroupgap": 0 }, "template": { "data": { "bar": [ { "error_x": { "color": "#2a3f5f" }, "error_y": { "color": "#2a3f5f" }, "marker": { "line": { "color": "#E5ECF6", "width": 0.5 }, "pattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 } }, "type": "bar" } ], "barpolar": [ { "marker": { "line": { "color": "#E5ECF6", "width": 0.5 }, "pattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 } }, "type": "barpolar" } ], "carpet": [ { "aaxis": { "endlinecolor": "#2a3f5f", "gridcolor": "white", "linecolor": "white", "minorgridcolor": "white", "startlinecolor": "#2a3f5f" }, "baxis": { "endlinecolor": "#2a3f5f", "gridcolor": "white", "linecolor": "white", "minorgridcolor": "white", "startlinecolor": "#2a3f5f" }, "type": "carpet" } ], "choropleth": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "type": "choropleth" } ], "contour": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "contour" } ], "contourcarpet": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "type": "contourcarpet" } ], "heatmap": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "heatmap" } ], "heatmapgl": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "heatmapgl" } ], "histogram": [ { "marker": { "pattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 } }, "type": "histogram" } ], "histogram2d": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "histogram2d" } ], "histogram2dcontour": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "histogram2dcontour" } ], "mesh3d": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "type": "mesh3d" } ], "parcoords": [ { "line": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "parcoords" } ], "pie": [ { "automargin": true, "type": "pie" } ], "scatter": [ { "fillpattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 }, "type": "scatter" } ], "scatter3d": [ { "line": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatter3d" } ], "scattercarpet": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattercarpet" } ], "scattergeo": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattergeo" } ], "scattergl": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattergl" } ], "scattermapbox": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattermapbox" } ], "scatterpolar": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatterpolar" } ], "scatterpolargl": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatterpolargl" } ], "scatterternary": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatterternary" } ], "surface": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "surface" } ], "table": [ { "cells": { "fill": { "color": "#EBF0F8" }, "line": { "color": "white" } }, "header": { "fill": { "color": "#C8D4E3" }, "line": { "color": "white" } }, "type": "table" } ] }, "layout": { "annotationdefaults": { "arrowcolor": "#2a3f5f", "arrowhead": 0, "arrowwidth": 1 }, "autotypenumbers": "strict", "coloraxis": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "colorscale": { "diverging": [ [ 0, "#8e0152" ], [ 0.1, "#c51b7d" ], [ 0.2, "#de77ae" ], [ 0.3, "#f1b6da" ], [ 0.4, "#fde0ef" ], [ 0.5, "#f7f7f7" ], [ 0.6, "#e6f5d0" ], [ 0.7, "#b8e186" ], [ 0.8, "#7fbc41" ], [ 0.9, "#4d9221" ], [ 1, "#276419" ] ], "sequential": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "sequentialminus": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ] }, "colorway": [ "#636efa", "#EF553B", "#00cc96", "#ab63fa", "#FFA15A", "#19d3f3", "#FF6692", "#B6E880", "#FF97FF", "#FECB52" ], "font": { "color": "#2a3f5f" }, "geo": { "bgcolor": "white", "lakecolor": "white", "landcolor": "#E5ECF6", "showlakes": true, "showland": true, "subunitcolor": "white" }, "hoverlabel": { "align": "left" }, "hovermode": "closest", "mapbox": { "style": "light" }, "paper_bgcolor": "white", "plot_bgcolor": "#E5ECF6", "polar": { "angularaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "bgcolor": "#E5ECF6", "radialaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" } }, "scene": { "xaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" }, "yaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" }, "zaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" } }, "shapedefaults": { "line": { "color": "#2a3f5f" } }, "ternary": { "aaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "baxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "bgcolor": "#E5ECF6", "caxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" } }, "title": { "x": 0.05 }, "xaxis": { "automargin": true, "gridcolor": "white", "linecolor": "white", "ticks": "", "title": { "standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 }, "yaxis": { "automargin": true, "gridcolor": "white", "linecolor": "white", "ticks": "", "title": { "standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 } } }, "title": { "text": "Diffusion. System snapshot at time t=42.00000000000033" }, "xaxis": { "anchor": "y", "autorange": true, "domain": [ 0, 1 ], "range": [ 0, 8 ], "title": { "text": "Bin number" }, "type": "linear" }, "yaxis": { "anchor": "x", "autorange": true, "domain": [ 0, 1 ], "range": [ 2.1066020258613545, 2.337601283217879 ], "title": { "text": "concentration" }, "type": "linear" } } }, "image/png": "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", "text/html": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "[GRAPHIC ELEMENT SENT TO LOG FILE `reach_equilibrium_2.log.htm`]\n", "[GRAPHIC ELEMENT SENT TO LOG FILE `reach_equilibrium_2.log.htm`]\n", "\n", "After Delta time 3.0. TOTAL TIME 45.00000000000037 (30 steps taken):\n", "SYSTEM STATE at Time t = 45.00000000000037:\n", "[[2.13257541 2.1766169 2.24063469 2.29346029 2.31342543 2.29346029\n", " 2.24063469 2.1766169 2.13257541]]\n" ] }, { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "hovertemplate": "Chemical=A
Bin number=%{x}
concentration=%{y}", "legendgroup": "A", "line": { "color": "red", "dash": "solid" }, "marker": { "symbol": "circle" }, "mode": "lines", "name": "A", "orientation": "v", "showlegend": true, "type": "scatter", "x": [ 0, 1, 2, 3, 4, 5, 6, 7, 8 ], "xaxis": "x", "y": [ 2.132575406048129, 2.1766169031714884, 2.240634690987972, 2.293460286344746, 2.313425426895317, 2.293460286344746, 2.240634690987972, 2.1766169031714884, 2.132575406048129 ], "yaxis": "y" } ], "layout": { "autosize": true, "legend": { "title": { "text": "Chemical" }, "tracegroupgap": 0 }, "template": { "data": { "bar": [ { "error_x": { "color": "#2a3f5f" }, "error_y": { "color": "#2a3f5f" }, "marker": { "line": { "color": "#E5ECF6", "width": 0.5 }, "pattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 } }, "type": "bar" } ], "barpolar": [ { "marker": { "line": { "color": "#E5ECF6", "width": 0.5 }, "pattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 } }, "type": "barpolar" } ], "carpet": [ { "aaxis": { "endlinecolor": "#2a3f5f", "gridcolor": "white", "linecolor": "white", "minorgridcolor": "white", "startlinecolor": "#2a3f5f" }, "baxis": { "endlinecolor": "#2a3f5f", "gridcolor": "white", "linecolor": "white", "minorgridcolor": "white", "startlinecolor": "#2a3f5f" }, "type": "carpet" } ], "choropleth": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "type": "choropleth" } ], "contour": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "contour" } ], "contourcarpet": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "type": "contourcarpet" } ], "heatmap": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "heatmap" } ], "heatmapgl": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "heatmapgl" } ], "histogram": [ { "marker": { "pattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 } }, "type": "histogram" } ], "histogram2d": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "histogram2d" } ], "histogram2dcontour": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "histogram2dcontour" } ], "mesh3d": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "type": "mesh3d" } ], "parcoords": [ { "line": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "parcoords" } ], "pie": [ { "automargin": true, "type": "pie" } ], "scatter": [ { "fillpattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 }, "type": "scatter" } ], "scatter3d": [ { "line": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatter3d" } ], "scattercarpet": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattercarpet" } ], "scattergeo": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattergeo" } ], "scattergl": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattergl" } ], "scattermapbox": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattermapbox" } ], "scatterpolar": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatterpolar" } ], "scatterpolargl": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatterpolargl" } ], "scatterternary": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatterternary" } ], "surface": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "surface" } ], "table": [ { "cells": { "fill": { "color": "#EBF0F8" }, "line": { "color": "white" } }, "header": { "fill": { "color": "#C8D4E3" }, "line": { "color": "white" } }, "type": "table" } ] }, "layout": { "annotationdefaults": { "arrowcolor": "#2a3f5f", "arrowhead": 0, "arrowwidth": 1 }, "autotypenumbers": "strict", "coloraxis": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "colorscale": { "diverging": [ [ 0, "#8e0152" ], [ 0.1, "#c51b7d" ], [ 0.2, "#de77ae" ], [ 0.3, "#f1b6da" ], [ 0.4, "#fde0ef" ], [ 0.5, "#f7f7f7" ], [ 0.6, "#e6f5d0" ], [ 0.7, "#b8e186" ], [ 0.8, "#7fbc41" ], [ 0.9, "#4d9221" ], [ 1, "#276419" ] ], "sequential": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "sequentialminus": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ] }, "colorway": [ "#636efa", "#EF553B", "#00cc96", "#ab63fa", "#FFA15A", "#19d3f3", "#FF6692", "#B6E880", "#FF97FF", "#FECB52" ], "font": { "color": "#2a3f5f" }, "geo": { "bgcolor": "white", "lakecolor": "white", "landcolor": "#E5ECF6", "showlakes": true, "showland": true, "subunitcolor": "white" }, "hoverlabel": { "align": "left" }, "hovermode": "closest", "mapbox": { "style": "light" }, "paper_bgcolor": "white", "plot_bgcolor": "#E5ECF6", "polar": { "angularaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "bgcolor": "#E5ECF6", "radialaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" } }, "scene": { "xaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" }, "yaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" }, "zaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" } }, "shapedefaults": { "line": { "color": "#2a3f5f" } }, "ternary": { "aaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "baxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "bgcolor": "#E5ECF6", "caxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" } }, "title": { "x": 0.05 }, "xaxis": { "automargin": true, "gridcolor": "white", "linecolor": "white", "ticks": "", "title": { "standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 }, "yaxis": { "automargin": true, "gridcolor": "white", "linecolor": "white", "ticks": "", "title": { "standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 } } }, "title": { "text": "Diffusion. System snapshot at time t=45.00000000000037" }, "xaxis": { "anchor": "y", "autorange": true, "domain": [ 0, 1 ], "range": [ 0, 8 ], "title": { "text": "Bin number" }, "type": "linear" }, "yaxis": { "anchor": "x", "autorange": true, "domain": [ 0, 1 ], "range": [ 2.12252818266773, 2.323472650275716 ], "title": { "text": "concentration" }, "type": "linear" } } }, "image/png": "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", "text/html": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "[GRAPHIC ELEMENT SENT TO LOG FILE `reach_equilibrium_2.log.htm`]\n", "[GRAPHIC ELEMENT SENT TO LOG FILE `reach_equilibrium_2.log.htm`]\n" ] } ], "source": [ "for i in range(15):\n", " status = bio.diffuse(total_duration=delta_time, time_step=0.1)\n", "\n", " print(f\"\\nAfter Delta time {delta_time}. TOTAL TIME {bio.system_time} ({status['steps']} steps taken):\")\n", " bio.describe_state(concise=True)\n", "\n", " fig = px.line(data_frame=bio.system_snapshot(), y=[\"A\"], \n", " title= f\"Diffusion. System snapshot at time t={bio.system_time}\",\n", " color_discrete_sequence = ['red'],\n", " labels={\"value\":\"concentration\", \"variable\":\"Chemical\", \"index\":\"Bin number\"})\n", " fig.show()\n", "\n", " #if i<2 or i==6 or i>=14:\n", " bio.single_species_heatmap(species_index=0, heatmap_pars=heatmap_pars, header=f\"Time {bio.system_time}\\n\", graphic_component=\"vue_heatmap_11\")\n", " # Output a line plot the log file\n", " bio.single_species_line_plot(species_index=0, plot_pars=lineplot_pars, graphic_component=\"vue_curves_3\")" ] }, { "cell_type": "markdown", "id": "9470f6cb-6337-4219-8b7a-7f09273a944f", "metadata": { "tags": [] }, "source": [ "**All cells now have essentially uniform concentration**\n", "\n", "The \"20 units of concentration\" are now uniformly spread across the 9 bins, leading to a near-constant concentration of 20/9 = **2.22**" ] }, { "cell_type": "code", "execution_count": null, "id": "c5348222-9a98-42c6-b105-b7f8aafc1be7", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.8.10" }, "toc-autonumbering": false, "toc-showcode": true, "toc-showmarkdowntxt": false }, "nbformat": 4, "nbformat_minor": 5 }