{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Diffusion Patterns"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "[Source](https://scipython.com/book/chapter-7-matplotlib/examples/the-two-dimensional-diffusion-equation/)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import random as random\n",
    "import math as math\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "sns.set()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- Consider a 2D lattice of length L"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "L = 10"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- Create initial configuration: We can use a vacant list to create initial configuration where initially particle is at middle of the lattice."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "def start(L):\n",
    "    '''create a vacant list of list '''\n",
    "    P =  [[0 for i in range(L)]for j in range(L)]\n",
    "    \n",
    "    '''put particle at center'''\n",
    "    P[int(L/2)][int(L/2)] = 1\n",
    "    \n",
    "    return P"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n",
       " [0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n",
       " [0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n",
       " [0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n",
       " [0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n",
       " [0, 0, 0, 0, 0, 1, 0, 0, 0, 0],\n",
       " [0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n",
       " [0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n",
       " [0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n",
       " [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "P =start(L)\n",
    "P"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- Make a plot of the lattice."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7fc8fdae7790>"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x216 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize = [4,3])\n",
    "sns.heatmap(P,annot=True,cmap='YlGn')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- Create a function to diffuse a particle:\n",
    "\n",
    "\\\\( P[i,j] = P[i+1,j] + P[i-1,j] + P[i,j+1] + P[i,j-1] \\\\)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "def diffuse_primitive(P,L):\n",
    "    \n",
    "    '''create vacant list of list'''\n",
    "    PP =  [[0 for i in range(L)]for j in range(L)]\n",
    "    \n",
    "    for i in range(L):\n",
    "          for j in range(L):\n",
    "                '''diffuse one step'''\n",
    "                PP[i][j] = P[i+1][j] + P[i-1][j] + P[i][j+1] + P[i][j-1]\n",
    "                \n",
    "    '''normalize'''\n",
    "    PP = PP/np.sum(PP)\n",
    "    \n",
    "    return PP   "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "L =10\n",
    "P =start(L)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- Set boundary conditons\n",
    "\n",
    "1. Lower limit\n",
    "```\n",
    "P[0-1,j] = P[L,j]\n",
    "P[I,0-1] = P[i,L]\n",
    "```\n",
    "\n",
    "2. Upper limit\n",
    "```\n",
    "P[L+1,j] = P[o,j]\n",
    "P[i,L+1] = P[i,0]\n",
    "```"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "def diffuse(P,L):\n",
    "    \n",
    "    '''create vacant list of list'''\n",
    "    PP =  [[0 for i in range(L)]for j in range(L)]\n",
    "    \n",
    "    '''diffuse 1-step over supplied configuration'''\n",
    "    for i in range(L):\n",
    "          for j in range(L):\n",
    "                \n",
    "            '''set boundary condition at bottom and left'''    \n",
    "            ni =0; nj =0\n",
    "            if i==0:ni = L\n",
    "            if j==0:nj = L\n",
    "            \n",
    "            '''add modulo to control boundary at top and right'''\n",
    "            PP[i][j] = P[(i+1)%L][j] + P[(i-1) + ni][j]\\\n",
    "            + P[i][(j+1)%L] + P[i][(j-1)+nj]\n",
    "            \n",
    "    '''normalize'''        \n",
    "    PP = PP/np.sum(PP)\n",
    "    \n",
    "    return PP"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x720 with 18 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "L =10\n",
    "P =start(L)\n",
    "plt.figure(figsize = [12,10])\n",
    "plt.subplot(3,3,1)\n",
    "P = diffuse(P,L)\n",
    "sns.heatmap(P,annot=False,cmap='YlGn')\n",
    "plt.subplot(3,3,2)\n",
    "P = diffuse(P,L)\n",
    "sns.heatmap(P,annot=False,cmap='YlGn')\n",
    "plt.subplot(3,3,3)\n",
    "P = diffuse(P,L)\n",
    "sns.heatmap(P,annot=False,cmap='YlGn')\n",
    "plt.subplot(3,3,4)\n",
    "P = diffuse(P,L)\n",
    "sns.heatmap(P,annot=False,cmap='YlGn')\n",
    "plt.subplot(3,3,5)\n",
    "P = diffuse(P,L)\n",
    "sns.heatmap(P,annot=False,cmap='YlGn')\n",
    "plt.subplot(3,3,6)\n",
    "P = diffuse(P,L)\n",
    "sns.heatmap(P,annot=False,cmap='YlGn')\n",
    "plt.subplot(3,3,7)\n",
    "P = diffuse(P,L)\n",
    "sns.heatmap(P,annot=False,cmap='YlGn')\n",
    "plt.subplot(3,3,8)\n",
    "P = diffuse(P,L)\n",
    "sns.heatmap(P,annot=False,cmap='YlGn')\n",
    "plt.subplot(3,3,9)\n",
    "P = diffuse(P,L)\n",
    "sns.heatmap(P,annot=False,cmap='YlGn')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- Run the diffusion step with desire no of running steps "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "def run_diffuse(P,nrun,L):\n",
    "    \n",
    "    run = 0\n",
    "    \n",
    "    '''diffuse N times'''\n",
    "    while run < nrun:\n",
    "        P = diffuse(P,L)\n",
    "        run = run+1\n",
    "    return P"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can make a plot of arbitraty diffusion step by selecting ```irun``` in function runner."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "'''set parameters'''\n",
    "L = 100 ; nrun = 1000 ; P = start(L)\n",
    "\n",
    "'''run diffusion'''\n",
    "P = run_diffuse(P,nrun,L)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x720 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize = [12,10])\n",
    "sns.heatmap(P,annot=False,cmap='YlGn')\n",
    "plt.axis(False)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Much Finner"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [],
   "source": [
    "L = 200\n",
    "nrun = 1000\n",
    "P = start(L)\n",
    "\n",
    "'''run diffusion'''\n",
    "P = run_diffuse(P,nrun,L)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x720 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize = [12,10])\n",
    "sns.heatmap(P,annot=False,cmap='YlGn')\n",
    "plt.axis(False)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "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": 1
}