{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# freud.density.RDF: Accumulating g(r) for a Fluid\n", "\n", "The `freud.density` module is intended to compute a variety of quantities that relate spatial distributions of particles with other particles.\n", "This example demonstrates the calculation of the [radial distribution function](https://en.wikipedia.org/wiki/Radial_distribution_function) $g(r)$ for a fluid, averaged over multiple frames." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import freud\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "\n", "data_path = \"data/phi065\"\n", "box_data = np.load(f\"{data_path}/box_data.npy\")\n", "pos_data = np.load(f\"{data_path}/pos_data.npy\")\n", "\n", "\n", "def plot_rdf(box_arr, points_arr, prop, r_max=10, bins=100, label=None, ax=None):\n", " \"\"\"Helper function for plotting RDFs.\"\"\"\n", " if ax is None:\n", " fig, ax = plt.subplots(1, 1, figsize=(12, 8))\n", " ax.set_title(prop, fontsize=16)\n", " rdf = freud.density.RDF(bins, r_max)\n", " for box, points in zip(box_arr, points_arr):\n", " rdf.compute(system=(box, points), reset=False)\n", " if label is not None:\n", " ax.plot(rdf.bin_centers, getattr(rdf, prop), label=label)\n", " ax.legend()\n", " else:\n", " ax.plot(rdf.bin_centers, getattr(rdf, prop))\n", " return ax" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here, we show the difference between the RDF of one frame and an accumulated (averaged) RDF from several frames. Including more frames makes the plot smoother." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Compute the RDF for the last frame\n", "box_arr = [box_data[-1].tolist()]\n", "pos_arr = [pos_data[-1]]\n", "ax = plot_rdf(box_arr, pos_arr, \"rdf\", label=\"One frame\")\n", "\n", "# Compute the RDF for the last 20 frames\n", "box_arr = [box.tolist() for box in box_data[-20:]]\n", "pos_arr = pos_data[-20:]\n", "ax = plot_rdf(box_arr, pos_arr, \"rdf\", label=\"Last 20 frames\", ax=ax)\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The difference between calling `compute` on a series of frames and calling `compute` on a single frame is more striking for smaller bin sizes, which are statistically noisier." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Compute the RDF for the last frame\n", "box_arr = [box_data[-1].tolist()]\n", "pos_arr = [pos_data[-1]]\n", "ax = plot_rdf(box_arr, pos_arr, \"rdf\", bins=1000, label=\"One frame\")\n", "\n", "# Compute the RDF for the last 20 frames\n", "box_arr = [box.tolist() for box in box_data[-20:]]\n", "pos_arr = pos_data[-20:]\n", "ax = plot_rdf(box_arr, pos_arr, \"rdf\", bins=1000, label=\"Last 20 frames\", ax=ax)\n", "\n", "plt.show()" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "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": "3.7.3" } }, "nbformat": 4, "nbformat_minor": 2 }