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@csoni111
Created April 4, 2019 07:39
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ris-mc.ipynb
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{
"nbformat": 4,
"nbformat_minor": 0,
"metadata": {
"colab": {
"name": "ris-mc.ipynb",
"version": "0.3.2",
"provenance": [],
"collapsed_sections": [],
"include_colab_link": true
},
"kernelspec": {
"name": "python3",
"display_name": "Python 3"
}
},
"cells": [
{
"cell_type": "markdown",
"metadata": {
"id": "view-in-github",
"colab_type": "text"
},
"source": [
"<a href=\"https://colab.research.google.com/gist/csoni111/5c7e7fb9996c9169eaa91f625fe22cae/ris-mc.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
]
},
{
"metadata": {
"id": "pUunXDj1hxk1",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"# RIS Monte Carlo Simulation for Poly Di-Methyl Siloxane (PDMS)"
]
},
{
"metadata": {
"id": "pYi67KXEHS-y",
"colab_type": "code",
"outputId": "7e24d0f8-8a8b-4c84-c179-c04c1bd915e7",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 190
}
},
"cell_type": "code",
"source": [
"import numpy as np\n",
"from mpl_toolkits import mplot3d\n",
"%matplotlib inline\n",
"import matplotlib.pyplot as plt\n",
"from math import sin, cos, atan, pi,e, radians as rad\n",
"from multiprocessing import Pool\n",
"from scipy import stats\n",
"\n",
"!pip install progressbar2\n",
"import progressbar"
],
"execution_count": 0,
"outputs": [
{
"output_type": "stream",
"text": [
"Collecting progressbar2\n",
" Downloading https://files.pythonhosted.org/packages/ca/49/59a86321fafcc2a57ea37925d35f05b20b076941934afd75ce1fd92b3125/progressbar2-3.37.1-py2.py3-none-any.whl\n",
"Requirement already satisfied: six in /usr/local/lib/python3.6/dist-packages (from progressbar2)\n",
"Collecting python-utils>=2.3.0 (from progressbar2)\n",
" Downloading https://files.pythonhosted.org/packages/eb/a0/19119d8b7c05be49baf6c593f11c432d571b70d805f2fe94c0585e55e4c8/python_utils-2.3.0-py2.py3-none-any.whl\n",
"Installing collected packages: python-utils, progressbar2\n",
"Successfully installed progressbar2-3.37.1 python-utils-2.3.0\n",
"\u001b[33mYou are using pip version 9.0.3, however version 10.0.1 is available.\n",
"You should consider upgrading via the 'pip install --upgrade pip' command.\u001b[0m\n"
],
"name": "stdout"
}
]
},
{
"metadata": {
"id": "5s2pspq1f5RV",
"colab_type": "code",
"colab": {}
},
"cell_type": "code",
"source": [
"num_atoms = 100\n",
"num_chains = 100 # 10^4\n",
"counter = [0] * 3\n",
"initial_temp=300\n",
"final_temp=700\n",
"rate = 40"
],
"execution_count": 0,
"outputs": []
},
{
"metadata": {
"id": "EXshLh3Vh5Es",
"colab_type": "code",
"cellView": "code",
"colab": {}
},
"cell_type": "code",
"source": [
"#@title Constants\n",
"bl={}\n",
"ba=[]\n",
"ta=[]\n",
"ep={}\n",
"epo={}\n",
"Ua=np.matrix([])\n",
"Ub=np.matrix([])\n",
"\n",
"def initializeConstants():\n",
" global bl \n",
" bl= {\n",
" \"si-o\": 164,\n",
" \"si-c\": 190\n",
" }\n",
"\n",
" global ba\n",
" ba= [143, 110]\n",
"\n",
" global ta \n",
" ta= [180, 60, -60]\n",
"\n",
" global ep \n",
" ep= {\n",
" \"sigma\": 0.286,\n",
" \"sigma`\": 0.286,\n",
" \"delta\": 0.06\n",
" }\n",
"\n",
" global epo\n",
" epo= {\n",
" \"sigma\": 1,\n",
" \"sigma`\": 1,\n",
" \"delta\": 1\n",
" }\n",
"\n",
" global Ua\n",
" Ua= np.matrix([\n",
" [1, ep['sigma'], ep['sigma']],\n",
" [1, ep['sigma`'], 0],\n",
" [1, 0, ep['sigma`']]\n",
" ])\n",
"\n",
" global Ub\n",
" Ub= np.matrix([\n",
" [1, ep['sigma'], ep['sigma']],\n",
" [1, ep['sigma'], ep['delta']],\n",
" [1, ep['delta'], ep['sigma`']]\n",
" ])\n",
" \n",
"initializeConstants()"
],
"execution_count": 0,
"outputs": []
},
{
"metadata": {
"id": "WSw7pHeZkLtc",
"colab_type": "code",
"cellView": "code",
"outputId": "9a63693c-cb9e-46e9-ae9f-6a749d18114a",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 34
}
},
"cell_type": "code",
"source": [
"#@title Next State Calculation\n",
"# Conformational states -> trans: 0, gauche+: 1, gauche-: 2\n",
"\n",
"u1 = np.matrix(\"1, 0, 0\")\n",
"un = np.matrix(\"1; 1; 1\")\n",
"mp = np.linalg.matrix_power\n",
"\n",
"zn = (u1 * mp(Ua * Ub, int((num_atoms-2)/2)) * un)[0, 0]\n",
"print(zn)\n",
" \n",
"def getPn(i, prev_state, req_state = -1):\n",
" pn = 0\n",
" n = num_atoms\n",
" \n",
" def get_u_dash(u_dash):\n",
" if req_state != -1:\n",
" val = u_dash[prev_state, req_state]\n",
" u_dash.fill(0)\n",
" u_dash[prev_state, req_state] = val\n",
" else:\n",
" val = u_dash[:, prev_state].copy()\n",
" u_dash.fill(0)\n",
" u_dash[:, prev_state] = val\n",
" return u_dash\n",
" \n",
" if i % 2 == 0:\n",
" pn = (u1 * mp(Ua * Ub, int((i-2)/2)) * get_u_dash(Ua.copy()) * Ub * mp(Ua * Ub, int((n-i-2)/2)) * un)[0, 0]\n",
" else:\n",
" pn = (u1 * mp(Ua * Ub, int((i-3)/2)) * Ua * get_u_dash(Ub.copy()) * mp(Ua * Ub, int((n-i-1)/2)) * un)[0, 0]\n",
" \n",
" return pn/zn\n",
"\n",
"def getNextState(i, prev_state):\n",
" from random import random\n",
" rand = random()\n",
"\n",
" p_ep_t_i = getPn(i, prev_state, 0) # req_state = Trans\n",
" p_ep_i1 = getPn(i-1, prev_state)\n",
" q_t = p_ep_t_i / p_ep_i1\n",
" \n",
" if rand < q_t:\n",
" # print(\"Next predicted state: Trans\")\n",
" return 0 # Trans\n",
" \n",
" p_ep_g_plus_i = getPn(i, prev_state, 1) # req_state = Gauche+\n",
" q_g_plus = p_ep_g_plus_i / p_ep_i1\n",
" \n",
" if rand > q_t and rand < (q_t + q_g_plus):\n",
" # print(\"Next predicted state: Gauche+\")\n",
" return 1 # Gauche+\n",
" else:\n",
" # print(\"Next predicted state: Gauche-\")\n",
" return 2 # Gauche-"
],
"execution_count": 0,
"outputs": [
{
"output_type": "stream",
"text": [
"8.632580008221907e+16\n"
],
"name": "stdout"
}
]
},
{
"metadata": {
"id": "-L-2LLSTQzpx",
"colab_type": "code",
"cellView": "code",
"colab": {}
},
"cell_type": "code",
"source": [
"#@title Next point coordinates calculation\n",
"\"\"\"\n",
" p1: point of the previous bond\n",
" p2: current bond's starting point\n",
" p3: current bond's end point\n",
" theta: rotation angle for new bond\n",
" Ref: http://paulbourke.net/geometry/rotate/\n",
"\"\"\"\n",
"\n",
"def calc_cordinates(p1, p2, p3, new_state, ba):\n",
" inv = np.linalg.inv\n",
" \n",
" t = np.matrix([\n",
" [1, 0, 0, -p2[0]],\n",
" [0, 1, 0, -p2[1]],\n",
" [0, 0, 1, -p2[2]],\n",
" [0, 0, 0, 1,]\n",
" ])\n",
" \n",
" p4 = p3-p2\n",
" p5 = np.sqrt(sum(p4**2))\n",
" a, b, c = p4/p5\n",
" d = np.sqrt(b**2+c**2)\n",
" \n",
" if d != 0:\n",
" cost = c/d\n",
" sint = b/d\n",
"\n",
" rx = np.matrix([\n",
" [1, 0, 0, 0],\n",
" [0, cost, -sint, 0],\n",
" [0, sint, cost, 0],\n",
" [0, 0 ,0 ,1]\n",
" ])\n",
"\n",
" ry = np.matrix([\n",
" [d, 0, -a, 0],\n",
" [0, 1, 0, 0],\n",
" [a, 0, d, 0],\n",
" [0, 0, 0, 1],\n",
" ])\n",
" \n",
" p1 = np.append(p1, 1)\n",
" trans_p1 = np.matrix(p1).T\n",
" if d != 0:\n",
" trans_p1 = (ry * rx * t * trans_p1)\n",
" else:\n",
" trans_p1 = (ry * t * trans_p1)\n",
" \n",
" angle = atan(trans_p1[0]/trans_p1[1])\n",
" \n",
" if trans_p1[1] < 0:\n",
" angle = pi - angle\n",
" \n",
" rz = np.matrix([\n",
" [cos(angle), -sin(angle),\t0,\t0,],\n",
" [sin(angle), cos(angle), 0, 0],\n",
" [0, 0, 1,\t0],\n",
" [0,\t0, 0, 1]\n",
" ])\n",
" \n",
" trans_p1 = rz * trans_p1\n",
" \n",
" l = bl['si-o'] \n",
" x = abs(l * cos(rad(ba-90)) * sin(rad(ta[new_state])))\n",
" y = abs(l * cos(rad(ba-90)) * cos(rad(ta[new_state])))\n",
" z = l + abs(l * cos(rad(180-ba)))\n",
"\n",
" if trans_p1[1] < 0:\n",
" if new_state == 1:\n",
" y = -y\n",
" elif new_state == 2:\n",
" x = -x\n",
" y = -y\n",
" else:\n",
" if new_state == 1:\n",
" x = -x\n",
" elif new_state == 0:\n",
" y = -y\n",
" \n",
" newp = np.matrix([[x], [y], [z], [1]])\n",
" if d != 0:\n",
" newp = inv(t) * inv(rx) * inv(ry) * inv(rz) * newp\n",
" else:\n",
" newp = inv(t) * inv(ry) * inv(rz) * newp\n",
"\n",
" return np.squeeze(np.asarray(newp))[:3]"
],
"execution_count": 0,
"outputs": []
},
{
"metadata": {
"id": "UIz0s8gl4RHo",
"colab_type": "code",
"cellView": "both",
"outputId": "f16640a6-80b4-46df-9768-04faf67cb83c",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 85
}
},
"cell_type": "code",
"source": [
"def generateChains(nc, na, i):\n",
" r = []\n",
" s = []\n",
" cn = [1, 0, 0]\n",
" l = bl['si-o']\n",
" p1_ = np.array([0, 0, 0])\n",
" p2_ = np.array([0, 0, l])\n",
" p3_ = np.array([0, l*sin(rad(37)), (l*cos(rad(37))) + l])\n",
" for j in progressbar.progressbar(range(nc)):\n",
"# for j in range(nc):\n",
" p1 = p1_\n",
" p2 = p2_\n",
" p3 = p3_\n",
" next_state = 0\n",
" chain = [p1, p2, p3]\n",
" for i in range(3, na):\n",
" newp = calc_cordinates(p1, p2, p3, next_state, ba[i%2])\n",
" chain.append(newp)\n",
" p1 = p2\n",
" p2 = p3\n",
" p3 = newp\n",
" next_state = getNextState(i, next_state)\n",
" cn[next_state] += 1\n",
" cm = np.average(chain, axis=0)\n",
" s.append(np.sqrt(np.sum((chain - cm)**2)/num_atoms))\n",
" r.append(np.sqrt(sum(chain[-1]**2)))\n",
" return (r, s, cn)\n",
"\n",
"r = []\n",
"s = []\n",
"num_process = 2\n",
"p = Pool(num_process)\n",
"async_results = []\n",
"for i in range(num_process):\n",
" async_results.append(p.apply_async(generateChains, (int(num_chains/num_process), num_atoms, i)))\n",
"for res in async_results:\n",
" part_r, part_s, cn = res.get()\n",
" r += part_r\n",
" s += part_s\n",
" print(cn)\n",
" counter = list(map(sum, zip(counter,cn)))"
],
"execution_count": 0,
"outputs": [
{
"output_type": "stream",
"text": [
"100% (50 of 50) |########################| Elapsed Time: 0:00:09 Time: 0:00:09\n",
"100% (50 of 50) |########################| Elapsed Time: 0:00:09 Time: 0:00:09\n"
],
"name": "stderr"
},
{
"output_type": "stream",
"text": [
"[3419, 688, 744]\n",
"[3444, 716, 691]\n"
],
"name": "stdout"
}
]
},
{
"metadata": {
"id": "T38DYtb_4pfW",
"colab_type": "code",
"cellView": "code",
"outputId": "3980dd97-d1ae-418f-86bc-91ffd3238a78",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 300
}
},
"cell_type": "code",
"source": [
"#@title End-to-End distance and Radius of Gyration calculation\n",
"\n",
"print(\"Average Radius of Gyration: %f pm\" % np.average(s))\n",
"\n",
"n_bins = 'auto'\n",
"fig, ax = plt.subplots(figsize=(8, 4))\n",
"n, bins, patches = ax.hist(s, n_bins, histtype='step')\n",
"ax.set_xlabel('Radius of Gyration, s (pm)')\n",
"ax.set_ylabel('Number of polymer chains')\n",
"ax.xaxis.label.set_size(15)\n",
"ax.yaxis.label.set_size(15)"
],
"execution_count": 0,
"outputs": [
{
"output_type": "stream",
"text": [
"Average Radius of Gyration: 1539.095803 pm\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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9HQG8v9p0VUQcU7UMjH39ccBbM/PEllU3AB+IiN9TRuEiIo4CDgN2rmafGt3H\nrykzWZ1PGULzZcBHKUnu6Ig4oPpcgjKv9PeAN2Xm0oj47+qzWxcRh2fmwqql5M+Z+ZJq/0+hzDn9\nyOotvw+8JTOvrdaPUEZGfD6l5WE1pQXh2HafWZvPcEvgY8A/AAuBm4H/AD7Y4cTn2cDDaTnxqGL+\nHaVF51DK6HJfBl6XmXdExMuBD1efzScpY2yfT5mS9JOU6WRXAP+SmV8ByMwrIuLblJHD7pkjXpoo\na+LalGwBrAGIiC0oNdRLKUPN7kxJrKe2bP95SvPzrpTEuy+waBLvfyZl3uX7AcOU+YnPrIaqvI/q\nWux3KYlxd8qwj98Hzo+IB2Xmh4DRWvT8sQm8cmD1+k+3CyYzz8rM0bm8P0tJPvu1xLAHJbm2XsN+\nHmViiPdHxA7AOZTPaRvKhB6PoCR5MnMvylCqH8rMhW3KuCsl6X+NMsXjQynzV38rIlpnjDqSkgy3\nBd5LOQHZvV2Z2ngLsDfw2MzcipIw3ww8s8P2zwQuz8ybxyx/MeWEbAfKickBwP9rWb81ZUjcx1L+\nVp4D/IDSZL4t5TP81JhyfRvYrx/X3bXpMIlrxouIv4qI1wNPoUrS1RzWuwLvrebtvpWSkJ5YvWaY\nkrQ/nJlLqvVvByYzN/JCSlK9KzPvyMwPZuZOLfMbt3pWFd8/ZeYtVWvC+ygnIS+q+X67Addk5l3j\nbZiZ11GSyitbFh8M/Dgzr2hZdlpmLs/Mkcy8kZLUPpWZ6zPzJsoEEU+sGd/rylvncZm5JjOXUJqZ\nH0mZoGLUOZn5o+pz+kK1bI+a77GQMlb5mqqc/wtsn5mdJrJ4NHB5m+XXZeZJmbk2M39ZxdF6aWYO\n8JHMvC0zr6S0svwkM39QXVf/MuVEbHHLa35JSf471yyLtAHPADUTHVxNzjBqC+B/gReM+ef9HOBf\nImI3YHPKxAejx8RO1e9rRjeuJn1YOom43gacBLwyIi6k1MTP65DEdwWWVolt9P3vqnrD71Lz/UYY\nc4xX12Bb57GeDexSNV9/Bjg7IrbLzFuAf+TeJvtRvx/z/FDgNVXT/ejn9+ea8e1Kmcmr1W+r37tw\n71SR99wBkJmrIwLKtf06TqKcEN0QET+gtG58AVjSYfth4Gdtlv9uzPM/AA8cs+yPLY9XU1ohWp8D\nzG1ZNvq3NExLGaWJsCaumeiejm2Uf/Y/Bm7KzHNHN4iIfYDTKTMU7VBte3jLPraofq/nviZyzNyn\nmTwzz6A0Wf8T5frqZ4GL2jWnU667DrVZPouSnOv4DfDgiLgn4WXmT1o+m4dVMY6+zzcp1/4PiYgn\nUS4dfGnMPu+ZGzoiRq+PHwNG+6bcAAADhUlEQVRsV+3zIzVjg/ZlHP18W8s49juoLTP/lJmPoUyh\neQnlpOOqiHj8BHc19jsaahPXeM+lnjOJa0arOmkdBjw9Il7bsupJwG2Z+bHMXFUta20GHu2Z/KDR\nBdU14E7XxNdUv1triLu2bhARw5m5KjPPzcw3AE+gNPE/us3+rgQWVe85+votqn1mhxjG+golkbyj\nw/r7HP9Vs++plGb0Q4AvtXw27exJmWbzzMy8o1pWtykdShkfNWbZ6LXuumXsKiLmRcTczPxp1Rnu\ncZTb617a4SVLaf8d7zbm+S7AdZMMb7j6vWyS+9EmzOZ0zXiZeWVE/CtwXERclJlXUZqF51U9xq8E\nXkKpmRIRO2XmdRHxC+AdEXEZsI5Sy1zd/l1YCiwHXhgRF1Bua3vT6MqI2Am4uurJPJpc96bM3X7t\nBnsrvZv/BJwQEa8C7qY0bc8CzqpZ7purE5dTqiboz2TmDRHxV5QObO+jNBMvb3nZKZT51x9JaYbu\n5vfAi6qm9L9QWhjmA9tGxLzMvB24Hdg1IramzEXd6hTg9RHxDuATlKT2Icq15J/XKWN1eeA/gf2r\n6/pjnQMsi4g3V5cmdqU0g5/dYZeXU8YZGGvn6rM8jdJ7/cWUueon49HArbRcspEmypq4NhXHAz8H\nzqh6A3+N8g/5+5Trmw+h9Lz+LfDrquf0CyjJ+xpK7e0i7nvd8x5Vjf/VwF6UwVS+Chzdsv46Soe0\nt1NuN1oGvAb4++r689j93UG5pWou5STjj5TksVfVoayWzDydUtvfHfh5RNxRlfeNwKcovbb/0rL9\nNZQe49dn5o/H2f3JwMWUZvtfU05wXlyV/7qImEu5Jv13lM/wPjXczLyc8pm/gHISdGkV2wF1y0dp\n+Qg6V0heTrk0ckVErKZ0vDuDUvZ2LgD2iIjFY5Z/k9Lz/gZKs/y5lBOOydgf+G4/BpTRpmNoZKTu\n5TVJM111C9QvgU9n5kmDjqeOiPgWcEhmruzBvjajnJB8OTPfWy27mJZ723shIh5KOWHcKzMv69V+\ntemxJi4JgIjYnNJJbR73vTd82qpqzPN6kcABqjsF3ga8KSJ27MU+OziW0ufABK5JMYlLGh3jfBXl\nOvg/VPelT3vVPfz79Hif36IM03tWnyZAeR2lz8Frx9tWGo/N6ZIkNZQ1cUmSGsokLklSQ5nEJUlq\nKJO4JEkNZRKXJKmh/j+sj4BsygFIAwAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f0eb4abe198>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"metadata": {
"id": "I2I0J3A2c-Ig",
"colab_type": "code",
"cellView": "code",
"outputId": "36f4d852-86a7-47a8-dff4-2b4445e34ecd",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 265
}
},
"cell_type": "code",
"source": [
"#@title Trans/Guache+- Pie Chart\n",
"print(\"Characteristic ratio: %f\" % (sum(np.array(r)**2)/(num_chains * num_atoms * bl['si-o']**2)))\n",
"\n",
"fig, ax = plt.subplots(figsize=(8, 4), subplot_kw=dict(aspect=\"equal\"))\n",
"labels = [\"Trans\", \"Gauche+\", \"Gauche-\"]\n",
"\n",
"def func(pct, allvals):\n",
" absolute = int(pct/100.*np.sum(allvals))\n",
" return \"{:.2f}%\\n({:d})\".format(pct, absolute)\n",
"\n",
"wedges, texts, autotexts = ax.pie(counter, autopct=lambda pct: func(pct, counter), textprops=dict(color=\"w\"))\n",
"\n",
"ax.legend(wedges, labels, title=\"Conformations\", loc=\"center left\", bbox_to_anchor=(1, 0, 0.5, 1))\n",
"\n",
"plt.setp(autotexts, size=8, weight=\"bold\")\n",
"\n",
"plt.show()"
],
"execution_count": 0,
"outputs": [
{
"output_type": "stream",
"text": [
"Characteristic ratio: 6.019435\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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NuutogDfzzYKwr0IrYk9MTdA/Ho/PPBN7a7KYGisWaUm9v5jrziw56dJK7VNz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\nR5OQE0I4moScEMLRJOSEEI72/20QHrwjNMLqAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f0eb119b518>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"metadata": {
"id": "jIqbT6Eoc_eN",
"colab_type": "code",
"cellView": "code",
"outputId": "091dddd8-f215-4b5f-bc62-bd721d6450af",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 666
}
},
"cell_type": "code",
"source": [
"#@title Histogram characterstic ratio probability dist\n",
"\n",
"n_bins = 'auto'\n",
"fig, (ax, ax1) = plt.subplots(1,2,figsize=(12, 6))\n",
"n, bins, patches = ax.hist(r, n_bins, histtype='step',density=1,color='orange')\n",
"ax.set_xlabel('end to end distance, r (pm)')\n",
"ax.set_ylabel('Probability density')\n",
"ax.xaxis.label.set_size(13)\n",
"ax.yaxis.label.set_size(13)\n",
"ax.set_xlim(0)\n",
"\n",
"mid_r =[]\n",
"prob_r = []\n",
"bin_size = bins[1]-bins[0]\n",
"print(bin_size)\n",
"next_mid = bins[0]+(bin_size/2)\n",
"for i in range(len(bins)-1):\n",
" mid_r.append(next_mid)\n",
" prob_r.append(bins[i]/((4*pi*(((next_mid + bin_size)**3)-(next_mid**3)))*bin_size))\n",
" next_mid += bin_size\n",
" \n",
"ax1.plot(mid_r,prob_r,linewidth = 1)\n",
"plt.show()\n",
"plt.plot(mid_r,n,linewidth = 1)\n",
"plt.show()\n",
"\n",
"# Probability distribution\n",
"# n, bins, patches = ax1.hist(prob_r, n_bins, histtype='step',density=1)\n",
"# ax1.set_xlabel('end to end distance, r (pm)')\n",
"# ax1.set_ylabel('Probability distribution')\n",
"# ax1.xaxis.label.set_size(13)\n",
"# ax1.yaxis.label.set_size(13)\n",
"# ax1.set_xlim(5e7)\n",
"# plt.show(fig)\n",
"# plt.hist(r, n_bins, histtype='step',density=1,color='orange')\n",
"# plt.hist(r, n_bins, histtype='step',density=1,color='orange')\n",
"# plt.show()\n"
],
"execution_count": 0,
"outputs": [
{
"output_type": "stream",
"text": [
"742.4442895880329\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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IiIgA0KNLAROH9WDGc28FHUVEmtBsAW9mc83sKjPrmIxAIiIiEpzTji1nzYZt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\n+0LgYuDCWnnfCPgm8BHbW9drzpb06j7im0lZWW8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"text/plain": [
"<matplotlib.figure.Figure at 0x7f0eb118ae10>"
]
},
"metadata": {
"tags": []
}
},
{
"output_type": "display_data",
"data": {
"image/png": 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NG5/HRXPH88vnNtHRYUN744UVEGOML1wxv4RAAF54f5fXUUyErIAYY3whKSnA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\nQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f0eb3a07208>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"metadata": {
"id": "yMuzoStNdHnh",
"colab_type": "code",
"cellView": "form",
"colab": {}
},
"cell_type": "code",
"source": [
"#@title Tests\n",
"a = np.array([-1530.13459007, -1804.99708476, -1289.38866144])\n",
"b = np.array([-1433.95766567, -1684.88880396, -1346.13370615])\n",
"c = np.array([-1511.31658388, -1540.76512889, -1334.30306551])\n",
"d = np.array([-1579.9043184 , -1421.24174368, -1423.21809832])\n",
"\n",
"def calc_angle(a, b, c):\n",
" ba = a - b\n",
" bc = c - b\n",
"\n",
" cosine_angle = np.dot(ba, bc) / (np.linalg.norm(ba) * np.linalg.norm(bc))\n",
" angle = np.arccos(cosine_angle)\n",
" return np.degrees(angle)\n",
"\n",
"def calc_dist(a, b):\n",
" return np.sqrt(sum((a-b)**2))\n",
"\n",
"print(calc_dist(a, b))\n",
"print(calc_dist(b, c))\n",
"print(calc_dist(c, d))\n",
"print(calc_angle(a, b, c))\n",
"print(calc_angle(b, c, d))"
],
"execution_count": 0,
"outputs": []
},
{
"metadata": {
"id": "m3tiOULlg6Fr",
"colab_type": "code",
"colab": {}
},
"cell_type": "code",
"source": [
"#@dependency with temperature\n",
"\n",
"def calcR2(nc, na, i):\n",
" r2 = []\n",
" l = bl['si-o']\n",
" p1_ = np.array([0, 0, 0])\n",
" p2_ = np.array([0, 0, l])\n",
" p3_ = np.array([0, l*sin(rad(37)), (l*cos(rad(37))) + l])\n",
" for j in range(nc):\n",
" p1 = p1_\n",
" p2 = p2_\n",
" p3 = p3_\n",
" next_state = 0\n",
" for i in range(3, na):\n",
" newp = calc_cordinates(p1, p2, p3, next_state, ba[i%2])\n",
" p1 = p2\n",
" p2 = p3\n",
" p3 = newp\n",
" next_state = getNextState(i, next_state)\n",
" r2.append(sum(p3**2))\n",
" return r2\n",
"\n",
"\n",
"# updating with change in temperatures\n",
"def updateWeights(temp):\n",
" initializeConstants()\n",
" epw = e**((1/343)-(1/temp))\n",
" global ep, Ua, Ub, zn\n",
" ep['sigma']=ep['sigma']*epw\n",
" ep['delta']=ep['delta']*epw\n",
" ep['sigma`']=ep['sigma`']*epw\n",
"# print (ep['sigma'],\" | \",ep['sigma`'],\" | \",ep['delta'])\n",
" Ua = np.matrix([\n",
" [1, ep['sigma'], ep['sigma']],\n",
" [1, ep['sigma`'], 0],\n",
" [1, 0, ep['sigma`']]\n",
" ])\n",
" Ub = np.matrix([\n",
" [1, ep['sigma'], ep['sigma']],\n",
" [1, ep['sigma'], ep['delta']],\n",
" [1, ep['delta'], ep['sigma`']]\n",
" ])\n",
" zn = (u1 * mp(Ua * Ub, int((num_atoms-2)/2)) * un)[0, 0]\n",
"# print(\"Zn=\" + str(zn))\n",
"\n",
"def changeTemp() :\n",
" avg_r=[]\n",
" temp_r=[]\n",
" for temp in progressbar.progressbar(range(initial_temp,final_temp,rate)):\n",
" r2 = []\n",
" updateWeights(temp)\n",
" num_process = 2\n",
" p = Pool(num_process)\n",
" async_results = []\n",
" for i in range(num_process):\n",
" async_results.append(p.apply_async(calcR2, (int(num_chains/num_process), num_atoms, i)))\n",
" for res in async_results:\n",
" r2 += res.get()\n",
" avg_r.append(np.log(np.average(r2)))\n",
" temp_r.append(temp)\n",
"# print(avg_r, temp_r)\n",
" return avg_r,temp_r"
],
"execution_count": 0,
"outputs": []
},
{
"metadata": {
"id": "OX3t30fUh3DU",
"colab_type": "code",
"outputId": "ecf566fe-0072-49b9-9bf6-d29244af988c",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 34
}
},
"cell_type": "code",
"source": [
"avg_r, temp_r = changeTemp()"
],
"execution_count": 0,
"outputs": [
{
"output_type": "stream",
"text": [
"100% (10 of 10) |########################| Elapsed Time: 0:01:28 Time: 0:01:28\n"
],
"name": "stderr"
}
]
},
{
"metadata": {
"id": "JlqyaTPuJLhp",
"colab_type": "code",
"outputId": "511a6280-5a0f-4610-9d5e-144aba839383",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 898
}
},
"cell_type": "code",
"source": [
"fig = plt.figure(figsize=(18, 14))\n",
"ax = plt.subplot(111)\n",
"ax.set_xlabel('Temperature (K)', labelpad=30)\n",
"ax.set_ylabel('ln(r²)', labelpad=30)\n",
"ax.xaxis.label.set_size(15)\n",
"ax.yaxis.label.set_size(15)\n",
"plt.xticks(fontsize=16)\n",
"plt.yticks(fontsize=16)\n",
"slope, intercept, r_value, p_value, std_err = stats.linregress(temp_r, avg_r)\n",
"print(\"Slope of fitted line:\", slope)\n",
"print(\"Intercept of fitted line:\", intercept)\n",
"line = (slope * np.array(temp_r)) + intercept\n",
"ax.plot(temp_r, avg_r, 'o', temp_r, line)\n",
"\n",
"ax.set_autoscaley_on(False)\n",
"ax.set_ylim([15, 18])\n",
"plt.show()"
],
"execution_count": 0,
"outputs": [
{
"output_type": "stream",
"text": [
"Slope of fitted line: 0.0002889089980036404\n",
"Intercept of fitted line: 16.348669238756713\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
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15yS/SPJXGc5ne+jSivFypA9Lcua46BMZZleebXOdJAfN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\ngg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f0ea1ecada0>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"metadata": {
"id": "0gnfixJdI5By",
"colab_type": "code",
"outputId": "6d78c0e6-1133-495b-96c8-cb6e7fb9382f",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 85
}
},
"cell_type": "code",
"source": [
"def generateChains(nc, na, i):\n",
" chains = []\n",
" cn = [1, 0, 0]\n",
" l = bl['si-o']\n",
" p2_ = np.array([0, 0, l])\n",
" p1_ = np.array([0, 0, 0])\n",
" p3_ = np.array([0, l*sin(rad(37)), (l*cos(rad(37))) + l])\n",
" for j in range(nc):\n",
" p1 = p1_\n",
" p2 = p2_\n",
" p3 = p3_\n",
" next_state = 0\n",
" chain = [p1, p2, p3]\n",
" for i in range(3, na):\n",
" newp = calc_cordinates(p1, p2, p3, next_state, ba[i%2])\n",
" chain.append(newp)\n",
" p1 = p2\n",
" p2 = p3\n",
" p3 = newp\n",
" next_state = getNextState(i, next_state)\n",
" cn[next_state] += 1\n",
" chains.append(chain)\n",
" return (chains, cn)\n",
"chains = []\n",
"\n",
"num_process = 2\n",
"p = Pool(num_process)\n",
"async_results = []\n",
"for i in range(num_process):\n",
" async_results.append(p.apply_async(generateChains, (int(num_chains/num_process), num_atoms, i)))\n",
"for res in async_results:\n",
" ch, cn = res.get()\n",
" chains += ch\n",
" print(cn)\n",
" counter = list(map(sum, zip(counter,cn)))\n",
"\n",
"for res in async_results:\n",
" ch, cn = res.get()\n",
" chains += ch\n",
" print(cn)\n",
" counter = list(map(sum, zip(counter,cn)))"
],
"execution_count": 0,
"outputs": [
{
"output_type": "stream",
"text": [
"[3438, 714, 699]\n",
"[3365, 759, 727]\n",
"[3438, 714, 699]\n",
"[3365, 759, 727]\n"
],
"name": "stdout"
}
]
},
{
"metadata": {
"id": "qf_D_ksIdFKY",
"colab_type": "code",
"cellView": "code",
"outputId": "b951676d-e2f5-463f-9570-1b9fc4916896",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 1924
}
},
"cell_type": "code",
"source": [
"#@title Polymer Chain Plot\n",
"\n",
"def plot_polymer_chain(chain):\n",
" fig = plt.figure(num=None, figsize=(8, 6), dpi=80, facecolor='w', edgecolor='k',)\n",
" ax = plt.axes(projection='3d')\n",
" ax.plot(chain[:,0], chain[:,1], chain[:,2], label='polymer chain')\n",
" ax.set_xlabel('x')\n",
" ax.set_ylabel('y')\n",
" ax.xaxis.label.set_size(15)\n",
" ax.yaxis.label.set_size(15)\n",
"# ax.set_autoscaley_on(False)\n",
"# ax.set_xlim([0,100])\n",
"# plt.zlabel('z')\n",
"\n",
"print(\"Total Chains:\", num_chains)\n",
"for chain in chains[int((num_chains/2)):int((num_chains/2)+5)]:\n",
" plot_polymer_chain(np.array(chain))"
],
"execution_count": 0,
"outputs": [
{
"output_type": "stream",
"text": [
"Total Chains: 100\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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RHAATxXzl1mP5qUXk1xtUUg9R2SJI5PyrgX4/tKKNX6qNrVC+mAzOOz9OrKrP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\nEAj1DBL8CQQCgUCoZ/x/mnBVp8IMT/IAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f0eb105af60>"
]
},
"metadata": {
"tags": []
}
},
{
"output_type": "display_data",
"data": {
"image/png": 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u8QtR/OLoNDw8g/e8fh16gwKA6n3SZUVBIpUvGgbxHOYT6p8Tc2lcnkrgxKWF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\nenmoj3l+x2r07djSHyv4l4leHxzSi05RFHy+UE2/6FoHYu1seWtPoRR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0GyYpddRK30BR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\nwGZI/gAA2MzvoWez8/jjDI8AAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f0ea1eb6f60>"
]
},
"metadata": {
"tags": []
}
},
{
"output_type": "display_data",
"data": {
"image/png": 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Z42LZBppyoN+Hel8EO6j3yb8VoMK/CailQI9V/nXd/J1KyQgEIhX7HXV3RO0nf2tOeizL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\nQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f0ea1f4f3c8>"
]
},
"metadata": {
"tags": []
}
},
{
"output_type": "display_data",
"data": {
"image/png": 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Nfx3CMvp2bXuKIgMIs/WtzAO/PYRv30dC+5Io4A3LBnD2mmGcuXKoxiBbVQSb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MbK9F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\nBKFuI93+giAIgtDAkGV/QRAEQWhg/B/b2i080ZBQSgAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f0ea277bb00>"
]
},
"metadata": {
"tags": []
}
},
{
"output_type": "display_data",
"data": {
"image/png": 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2RXZhoccjgmHMKSzUUK8X532+5UCMfwHK6XE3ilEN/mp2HYgin6zalS0o5iuM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\nys+7LwZzfSgAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f0eb11149b0>"
]
},
"metadata": {
"tags": []
}
}
]
}
]
}
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