{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "\n", "\n", "#
Brownian Motion
\n", "\n", "# Table of contents\n", " \n", "1. [Introduction](#introduction)
\n", "2. [Imports & preparation](#imports)
\n", "3. [Plots](#plots)
\n", " 3.1 [Brownian Motion](#pltbm)
\n", " 3.2 [Distribution](#dis1000)
\n", " 3.3 [Driving function](#bmdf)
\n", "\n", "\n", "# 1. Introduction \n", "This notebook serves as teaching material and support for lectures, as well as for further scientific education. \n", "\n", "### Brownian Motion\n", "\n", "

\n", " \"The Brownian process describes the disordered motion of small particles suspended in a liquid. It is believed that Brown studied pollen particles floating in water under the microscope. He observed minute particles executing a jittery motion. The theory of this motion has been invented by Albert Einstein and Marian Smoludchowski. The mathematically rigorous construction of the corresponding stochastic process has been developed by Norbert Wiener.\" (Extraced from: A. Wipf \"Path Integrals\" (2019), p. 60, Brownian Motion, University of Jena)\n", "

\n", "\n", "Other references:\n", "\n", "\n", "_____\n", "Notebook created by Benjamin Thomas Schwertfeger (November, 2021)
\n", "\n", "benjamin.schwertfeger@awi.de
\n", "Alfred-Wegener-Institute
\n", "Helmholtz Centre for Polar and Marine Research
\n", "\n", "Bussestraße 24
\n", "D-27570 Bremerhaven
\n", "Germany
\n", "\n", "_____\n", "\n", "# 2. Imports & preparation \n", "## 2.1 Imports" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib as mpl\n", "import matplotlib.pyplot as plt\n", "import seaborn as sns # optional\n", "import warnings\n", "from tqdm import tqdm # optional" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 2.1 Settings" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "warnings.filterwarnings(\"ignore\")\n", "sns.set_style(\"whitegrid\") " ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "# plotting constants\n", "mpl.rcParams[\"font.family\"] = \"arial\"\n", "mpl.rcParams[\"figure.figsize\"] = 20, 7\n", "mpl.rcParams[\"axes.titlesize\"] = 20\n", "mpl.rcParams[\"axes.labelsize\"] = 18\n", "mpl.rcParams[\"xtick.labelsize\"] = 16\n", "mpl.rcParams[\"ytick.labelsize\"] = 16\n", "mpl.rcParams[\"legend.fontsize\"] = 16" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 2.2 Functions" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "def f(y, a, b, c, d): # driving function \n", " return d*y**3+c*y**2+b*y-a\n", "\n", "def F(x, b, c, d): # potential\n", " return -(d/4*x**4+c/3*x**3+b/2*x**2-x)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "def rnorm(): # or use np.random.normal()\n", " u,v=0,0\n", " while u == 0:\n", " u = np.random.random()\n", " while v == 0:\n", " v = np.random.random()\n", " return np.sqrt(-2.0 * np.log(u)) * np.cos(2.0*np.pi*v)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "def computeBM(input, randomStartPoint=False):\n", " '''\n", " Function to calculate all necessary values for the analysis of Brownian motion\n", " usage: result = computeBM(default_input)\n", " '''\n", " \n", " N = int(input[\"T\"] / input[\"h\"])\n", " t = np.arange(0, N, 1) * input[\"h\"]\n", " x = None\n", " \n", " if randomStartPoint: # random initial condition,\n", " x = np.array([[10 * np.random.random() for x in np.empty(N)] for x in np.empty(input[\"Nparticle\"])]) \n", " else: # initial condition, all = 10 \n", " x = np.tile(10, (input[\"Nparticle\"], N)) \n", " \n", " # ----> calculate particle x time matrix\n", " for particle in tqdm(range(0, input[\"Nparticle\"], 1)):\n", " for timestep in range(N-1):\n", " x[particle][timestep+1] = x[particle][timestep] + input[\"h\"] * f(x[particle][timestep], input[\"a\"], input[\"b\"], input[\"c\"], input[\"d\"]) + input[\"Ca\"] * np.random.normal(0,1) * np.sqrt(input[\"h\"])\n", "\n", " # ----> calculate limits\n", " # set xlim and ylim\n", " ama2 = np.max(x)\n", " ami = np.min(x)\n", " ama = np.max([ama2,-ami])\n", " ama_ = np.max([ama2,-ami])/2 # to set correct bins in hist\n", " \n", " # ----> claculate hist matrix\n", " Nbins = 40\n", " h = np.arange(N * Nbins).reshape(N, Nbins)\n", " bin_edges = None\n", " for step in range(N):\n", " histo, bin_edges = np.histogram(\n", " a=x[:,step], bins=Nbins,\n", " range=(-20 * ama_ / 10, 21 * ama_ / 10)\n", " ) \n", " h[step] = histo\n", " \n", " # ----> hstat\n", " hstat = np.zeros(40)\n", " for i in range(int(N/2),N,1):\n", " hstat += h[i]\n", " hstat *= 2 / input[\"Nparticle\"] / N\n", " \n", " return {\n", " \"x\": x, \n", " \"h\": h, \n", " \"hstat\": hstat,\n", " \"limits\": {\"ama2\": ama2, \"ami\": ami, \"ama\": ama,\"ama_\": ama_},\n", " \"N\": N,\n", " \"t\": t,\n", " \"Nbins\": Nbins,\n", " \"bin_edges\": bin_edges,\n", " \n", " # return the input to use them afterwards\n", " \"Ca\": input[\"Ca\"],\n", " \"a\": input[\"a\"],\n", " \"b\": input[\"b\"],\n", " \"c\": input[\"c\"],\n", " \"d\": input[\"d\"],\n", " \"Nparticle\": input[\"Nparticle\"],\n", " \"T\": input[\"T\"]\n", " }" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "______\n", "\n", "## 2.3 Define default values and calculate the results" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "default_input = {\n", " # constants\n", " \"Ca\": 10, # default: 10\n", " \"a\": 1, # default: 1\n", " \"b\": 0.8, # default: 0.8\n", " \"c\": 0, # default: 0\n", " \"d\": -0.001, # default: -0.001\n", "\n", " \"Nparticle\": 1000, # default: 1000 (number of particles)\n", " \"T\": 1000, # default: 1000 (integration time in time units)\n", " \"h\": 0.5, # default: 0.5 (step size in time units)\n", "}" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|██████████| 1000/1000 [00:34<00:00, 28.65it/s]\n" ] } ], "source": [ "result = computeBM(default_input)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "____\n", "# 3. Plots \n", "\n", "## 3.1 Plotting the brownian motion " ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "for line in range(2): # <- increment this to show more particles\n", " plt.plot(result[\"t\"], result[\"x\"][line])\n", " plt.title(f\"Borwnian Motion multiple Particle ({line+1} particle(s))\")\n", " plt.xlim(0,default_input[\"T\"])\n", " plt.ylim(result[\"limits\"][\"ami\"], result[\"limits\"][\"ama\"]) # plt.ylim(-100,100)\n", " plt.xlabel(\"time\")\n", " plt.ylabel(\"value\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 3.2 Distrbution\n", "\n", "### 3.2.1 Distribution of 1000 particles in the last 1000 timesteps " ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "if False:\n", " # AS LINEPLOT\n", " plt.plot(range(result[\"Nbins\"]), result[\"hstat\"])\n", " plt.gca().set_xticks(np.arange(result[\"Nbins\"]))\n", " plt.gca().set_xticklabels(result[\"bin_edges\"][:-1].astype(\"int\"));\n", " plt.xlim(0,result[\"Nbins\"]-1)\n", "else:\n", " # OR AS BARPLOT:\n", " height = result[\"hstat\"]\n", " bars = result[\"bin_edges\"][:-1].astype(\"int\")\n", " y_pos = np.arange(len(bars))\n", " plt.bar(y_pos, height, color=\"orange\")\n", " plt.xticks(y_pos, bars)\n", " \n", "plt.title(f\"Distribution of {result['Nparticle']} particles in the last {int(result['N']/2)} timesteps\")\n", "plt.xlabel(\"value\")\n", "plt.ylabel(\"density\");" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# how often does which value occur?\n", "if False:\n", " # with seaborn\n", " sns.distplot(result[\"hstat\"], bins=40)\n", " plt.gca().set_xlim(0,0.18);\n", "else:\n", " # OR with mpl\n", " plt.hist(result[\"hstat\"], bins=40, color=\"orange\")\n", " plt.title(\"Density of values\")\n", " plt.xlabel(\"value\")\n", " plt.ylabel(\"density\")\n", " plt.xlim(0,0.15);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 3.2.2 Distribution of particles at a specific timestep " ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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jXbx58ODB1uvLlWOWVg1Xj1dadSycGbP07iexsbHy8fFJsT1v3rwOrdmY0T3LVeNl773RmfFKSkrS2bNnlSdPHo0cOVJFixbVjh07NH36dN29e1e5cuVyeswyqhEWFuaSMbOnjkVmx+zGjRuSpBEjRqhNmzbq2bOnfvrpJ0VFRcnX11dms9kl11hGdR4MJt977z2tXbtWnp6emjRpkgoUKOBQn3ICgqgcIDk5WcnJydavPTw8lJiYqISEBC1YsED58uWTdP+HXocOHbRlyxa1atVKn376qfz8/PTGG29kSY2aNWtaj03Ng4+fpFenZ8+eNo/01KpVS+XKldNrr72mTZs2qW3bttbj9+7dq0uXLmnmzJkO9cWeGo6MV2brhISEWI9NzcNjllqNVatW6cKFC4qKisqwjfaMlzN1nL3GHOmLvVKr4+XlJUny9/fXsmXL9McffygyMlKdOnXS+vXrbRasz+w1Zk8NV1xjjvTF2RrS/eCmZ8+eSk5O1syZM1Ncu85cY/bUcfYac6Qv9sqoTlpmzpyp+fPnq2/fvqpXr57OnTunjz/+WG+99ZYiIyNdUsOV11hWSa3m2rVrNWbMGHXq1EktW7bU77//rk8++UR9+/bNdBBixD0nO8bPCMnJyRo9erQ6dOiQpZ/IZzab1bt3b509e1bjxo1TuXLltHfvXs2ePVv58uVLMZvxUXHnzh299957GjRoUJaFOJY6Xbp0kclk0pQpU1S4cGFt2bJFY8aMkb+/f6b+BX7jxo0aN26cmjdvnqWPfT5cJyvGLL2+rFq1ShUqVLD+XpZZTZs2Ve3atfXjjz9qzpw5SkhI0NChQ506pz01+vXr5/LxyqgvmR2zjO4nZrM5zZ/H9v6czqiGq64vR+6Nzl5jc+fOVdGiRa3/qPTcc88pPj5eCxcuVP/+/Z0es4xq9O7d22XXWHp1+vTpY535nNkxs3zCbr169awfcPL888/rxo0bioqKUt++fV0yXhnV6d27t/V3gC5duuiVV15RdHS0Ro0apcTEROs/GPxdEETlALNnz9asWbOsXxcrVkx+fn6qVq2aNSCS7k/fzpcvn06fPq2SJUtq2bJl+vzzzyXdf5bZMv0xMTFRXl5eNm+8zNSwPP8aFxdn017L16l9AkFqdbZt22Z91MiievXqypcvn3XNJYvo6GiVLFlSVatWdWi8Mqrxn//8x6HxymydF1980WaMLNIas4dreHp6Kk+ePJo8ebJy586dop2enp42YZY945XZOsePH3fqGnO0L/ZK6/si3Z+2bwkJn376ab388sv67rvvbMJOZ66x9GqUL1/eZdeYvX2xR3o1Tp8+rT59+igxMVGLFy9WyZIlU7w+s9eYPXUcfV862xd7pVcnLQkJCVqyZIk6d+6st956S9L9X8SKFi2qPn36aN++fTa/eGWmhivvY1kptZpeXl5q0KCBPvzwQ+v2KlWqqFWrVtq4caM6dOjgdJ2suOdkx/gZYcWKFbpy5Yrmz59v86mIZrNZiYmJLnsk8+DBgzp48KA+/vhjtWzZUtL990VSUpI++ugjtW3bNsUM4kfBzJkzFRAQoG7dutmMX3JyskvHb8uWLTp//rxWr16tatWqSZJCQkJ08+ZNTZgwweEgasmSJZoyZYoaN26sadOmZdljn6nVcfWYpdeXhIQE7dixQ71793a6L5UqVZIk1a5dW3FxcVq0aJEGDhyY4lNfXV0jPj7e5ddYen1xZswyup8EBATIZDIpISHBZtzi4uLs/jSzjGq46vqy997o7DXm5eWVahhTv359/eMf/1CePHmcHrOMaoSHh7tkzDKqc+HCBVWoUMGpMbP8nHj4cb46dero888/V758+ZweL3vqXL582fr7peWe/Pzzz+vq1auaO3cuQRQePa+99prNxwv7+PjonXfesaayD0pMTJSHh4e2b98uk8mU6gVvedzhwYUJM1Mjb968evLJJ3Xp0iWb/Zavy5QpY1dfvvnmGxUqVEi1atWybjebzTKZTCmmMe7evTvDxXczU8PR8cpsHUfH7OEahw8f1oQJEzR48OBU2xkWFqZBgwZZt9kzXpmtI8mpa8zRvtgrte9LdHS0ChUqZP2hIN1/dCZXrlz6/fffbV6f2WssoxqXLl1yyTXmSF/skVoN6f5CmP/3f/+ngIAALVu2LM1H1zJ7jdlTxxX3MUf6Yq+06qTnxo0bunfvXoqPkrbMLD179qzNL2qZqeGq+1hWS63mq6++miJELVeunB577DGdPXvWJXWy4p6THeNnhOjoaP322282P8uk+x/BvX79em3dulXFixd3us5vv/0mSQoKCrLZXrNmTS1YsECXL1/O8sccs0J0dLQuX76cIqCfM2eO5syZk+If2TLrt99+k5eXV4o6NWvW1KZNmxQXF2d3kDdjxgzNmzdPbdu21cSJE10Wltlbx5VjllFfDh8+rNjYWLvX0XrYtWvXtGvXLjVv3txmofjAwECZTCbdvHlTTz75ZKbObW+NlStXymQyOT1e9vbFmTHL6H7y4Ycfymw2KyYmxub34Ie/dqZGsWLFXHJ92XtvdPYau3r1qnbs2KEXX3zRZq3Be/fuSbr/j5HOjllGNXbt2uWSayyjOpa/9ZwZM0v48/DfrZYAzdvb2+nxsqeOh4eH1qxZo1dffdUm/A4MDNSOHTvs71AOQRCVAxQuXDjFGgH16tXT0qVLdfXqVeu+/fv3Kz4+XsHBwapYsaLNL8fS/U8J+vHHHxUVFZXiF8jM1JDu/8vb9u3bNWTIEOtUxOjoaFWoUEGPP/64XX0ZP368YmNjrc/RStLOnTt19+5dPfvss9bjrl+/rpiYmBS/sLqiRrFixRwaL2f64siYPVyjePHiKfr/zTffaMmSJVqzZo0KFSrk8Hg5U8eZa8yRvjgite/Le++9J19fX61YscK67YcfflBCQoLNHznOXGMZ1QgMDHTJNWZvX+yVWo1Lly6pT58+euKJJ7R06dI01yhx5hqzp87Df+RLjt/H7O2LI1Krk5GCBQsqX758OnTokE3gcvToUUmyqy8ZcXS8MlvHWanVLFOmjH7++WebbRcuXNDNmzczHXgYcc/JjvEzwgcffJBi5m54eLjKlCmjgQMHZvr+/DBLKHzo0CG1bt3auv3IkSPy9vbWU0895ZI6RouKikrxCUmhoaFq06ZNik9bckbp0qWVlJSkI0eO2FzbR44cUcGCBe3+8IVly5Zp3rx5Cg0NtS5UnRXSq+OqMbOnL0ePHpW/v3+KGez2+uuvv/Tuu+9Kkl599VXr9u+//16PP/54qr//urrG4sWLU/wxnJnxsrcvzoxZRveTMmXKaOLEiYqOjlafPn0kSbdu3dL+/ftt1g9ypoZlVteDMjNe9t4bnb3GTCaTxo4dqzt37tisn/fdd9+pdOnSevHFFzV27FinxiyjGp988olL3pMZ1bGEts6MWfny5VW4cGF9++23euWVV6zbd+7cqUKFCql169ZOX2P21Pnvf/+r0aNHq3jx4tanFsxms/bu3ftI/qOKswiicqiePXvqn//8p/r06aPBgwfrzp07mjp1qoKDg1WvXj15enqm+OW4YMGC8vHxyfARGntrSFLv3r3VoUMHDRkyRB07dtTevXu1cePGFOudpKdfv37q06eP3n77bbVv317nz59XZGSkmjdvrho1aliPO3PmjKTUZ1q5ooaz42VvHWfGrECBAilmiR08eFCSUrTTmfGyt44zY+ZIX5zVv39/DRgwQGPHjlXLli117tw5ffLJJ6pdu7bNR6w6M2YZ1fDw8HDJNWZvX5wxadIkxcbGauzYsbpy5YquXLli3Ve0aFHrL1rOjJc9dVL7I9/RMbO3L1nN29tb/fv317Rp0xQQEKD69evrwoUL+uSTT1StWrVMfaLOw1wxXtnlzTff1NChQzV69Gi1adNG165d06xZs1SsWDGbX/acYeQ951GX2oLeuXPn1mOPPebSsapSpYoaNmyoDz74QDdv3lS5cuW0f/9+LVy4UKGhoTZLAzxKUvuYci8vLxUqVMil49e4cWMFBgZq6NChGjp0qAoVKqRt27Zp48aNeu+99+wKlH7//XdNmzZNFSpUUOvWrXXkyBGb/VWqVHHJ7KjM1HF0zOytcebMGZUuXTrTgVu5cuXUvHlzTZkyRQkJCSpRooS2bNmiDRs2aNKkSZlaVsDRGpbH6B6UmWvM3r44M2b23E+6deumyMhIeXp6qnTp0po7d678/f3tfpQpM/eszIyXvXWcvcZKlCihNm3aKDIyUh4eHipXrpy+/fZbbdmyRbNnz1bevHmdHrOMarjqPpZRHQtnxszT01PDhw/XyJEjNW7cOLVo0cL6ycTvv/++/P39nR4ve+rUrVtXQUFBeueddzR06FAVKFBAa9as0aFDh7RgwQKH+/WoI4jKoQoWLKiVK1cqIiJCb7/9tnLlyqXGjRvr3XffdckPQHtrVKpUSVFRUZo2bZrCwsJUtGhRTZ48WS1atLC7Tv369RUVFaXZs2dr4MCB8vf316uvvqohQ4bYHPfnn39KUqZ+MbW3hrPsqeOKMbOHM+OV0zRu3Ng6lXjDhg0KCAjQK6+8oqFDh9r8wHNmzOytYVRfMishIUG7du1SUlKSdS2jB40YMcL6/L4z4+VIncwyooYjevfurbx582rZsmVatmyZnnrqKb300ksKCwvLEQtcO6Nly5by8vJSVFSUNmzYoCeeeEJ16tTRW2+9ZfO4CHKeyMhIffzxx5o7d65u3bqlUqVKafTo0ercuXN2N83t5cqVS0uWLNFHH32kiIgI3bt3T2XLllVkZKTdv1Ps2bNHJpNJp0+fVqdOnVLs37dvn83jNJllRB17a/z5559O/240ZcoUzZo1S/Pnz9fvv/+u8uXLOzTu7lLD3jquGLP0DB8+XJ6enlq8eLH1yYuIiAiH1u9xJ64Yr4kTJ2rOnDlatmyZrl27pnLlyunTTz+1fqKoK8YsoxquYk8dZ8esbdu28vb21rx587R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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "TIMESTEP = 4 # try: 10 OR 100 OR 1234 OR 1999\n", "\n", "if False:\n", " # AS LINEPLOT:\n", " plt.plot(range(result[\"Nbins\"]), result[\"h\"][TIMESTEP] / result[\"Nparticle\"])\n", " plt.title(f\"Distribution of {result['Nparticle']} particles at timestep {TIMESTEP}\")\n", " plt.xlabel(\"value\")\n", " plt.ylabel(\"density\")\n", " plt.gca().set_xticks(np.arange(result[\"Nbins\"]))\n", " plt.gca().set_xticklabels(result[\"bin_edges\"][:-1].astype(\"int\"));\n", " plt.xlim(0,result[\"Nbins\"]-1);\n", "else:\n", " # OR AS BARPLOT:\n", " height = result[\"h\"][TIMESTEP]\n", " bars = result[\"bin_edges\"][:-1].astype(\"int\")\n", " y_pos = np.arange(len(bars))\n", " plt.bar(y_pos, height, color=\"orangered\")\n", " plt.title(f\"Distribution of {result['Nparticle']} particles at timestep {TIMESTEP}\")\n", " plt.xlabel(\"values\")\n", " plt.ylabel(\"density\")\n", " plt.xticks(y_pos, bars);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 3.2.3 Distribution over time and space " ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "mappable = ax.contourf(\n", " np.arange(1,result[\"N\"],1),\n", " result[\"bin_edges\"][:-1],\n", " result[\"h\"][1:].transpose(),\n", " cmap=\"rainbow_r\", levels=10\n", ")\n", "\n", "ax.set_title(f\"Density over time and space\")\n", "cbar = fig.colorbar(mappable, pad=0.01, orientation=\"vertical\")\n", "cbar.set_label(\"density\")\n", "ax.set_ylabel(\"value\")\n", "ax.set_xlabel(\"timestep\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 3.3 Driving function " ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "# constants\n", "a, b, c, d = 1, 0.8, 0, -0.001\n", "points = 120 " ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "xVals = np.arange(points) - points / 2\n", "\n", "yVals = np.array([f(x, a, b, c, d) for x in xVals]) # driving function (f(x))\n", "yVals_p = np.array([F(x, b, c, d) for x in xVals]) # potential (F'(x))" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "marker=\"o\"\n", "#plt.plot(xVals,yVals) # driving function f(x)\n", "plt.plot(xVals[yVals>0],yVals[yVals>0], marker, color=\"green\", label=\"f(x)>0\")\n", "plt.plot(xVals[yVals<0],yVals[yVals<0], marker, color=\"red\", label=\"f(x)<0\")\n", "\n", "plt.plot(xVals, yVals_p, color=\"blue\", lw=2, label=\"-F(x)\") # -F(x)\n", "\n", "plt.title(\"Driving function f(x) and its negative potental -F(x)\")\n", "plt.xlabel(\"x\")\n", "plt.ylabel(\"y\")\n", "\n", "plt.ylim(-200,200)\n", "plt.legend();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 3.3.x The way to a stable condition " ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def pltMoving2Stable(y0):\n", " a, b, c, d = 1, 0.8, 0, -.001 \n", " h, N = 0.01, 20\n", " y = np.zeros(N)\n", " y[0] = y0\n", " for i in range(1,N,1):\n", " y[i] = y[i-1] + h + f(y[i-1], a, b, c, d)\n", " plt.plot(np.arange(N)*h, y, color=\"black\", linewidth=2)\n", " plt.title(f\"Movement to stable condition\")\n", " plt.xlabel(\"time\")\n", " plt.ylabel(\"x\")\n", " \n", "pltMoving2Stable(y0=1.125)" ] } ], "metadata": { "kernelspec": { "display_name": "3.7.3", "language": "python", "name": "3.7.3" }, "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 }