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@kaizu
Created December 12, 2014 16:00
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{
"metadata": {
"name": "",
"signature": "sha256:31a06c38f9001bafe1b4b1f5573d690d728f0b93183257929115ba036dd35112"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "code",
"collapsed": false,
"input": [
"%matplotlib inline\n",
"import matplotlib as mpl\n",
"from mpl_toolkits.mplot3d import Axes3D\n",
"import matplotlib.pyplot as plt"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 1
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from ecell4 import *"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 2
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"f = lattice.LatticeFactory(0.005)\n",
"# f = egfrd.EGFRDFactory(Integer3(6, 6, 6))"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 3
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"m = NetworkModel()\n",
"m.add_species_attribute(Species(\"A\", \"0.005\", \"1\"))\n",
"w = f.create_world(Real3(1, 1, 1))\n",
"w.bind_to(m)\n",
"w.add_molecules(Species(\"A\"), 240)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 4
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"pid_list = [pid for pid, v in w.list_particles(Species(\"A\"))]"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 5
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"interval = 5e-4\n",
"obs1 = FixedIntervalTrajectoryObserver(interval, pid_list)\n",
"sim = f.create_simulator(w)\n",
"sim.run(0.1, [obs1])"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 6
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import numpy as np\n",
"data = [np.array([tuple(pos) for pos in obs1.data()[i]]).T\n",
" for i in range(len(pid_list))]"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 7
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"fig = plt.figure()\n",
"ax = fig.gca(projection='3d')\n",
"for i in range(10):\n",
" ax.plot(data[i][0], data[i][1], data[i][2], \"-\")\n",
"# ax.legend()\n",
"ax.set_xlabel(\"x\")\n",
"ax.set_ylabel(\"y\")\n",
"ax.set_ylabel(\"z\")\n",
"plt.show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
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9tqfSvgrxgy/nN3A5fjojnOKCQJnGwCUx+PzhTUXGTfUBaMiVTTiB1MDqx3PPPZfk5GTS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\n",
"text": [
"<matplotlib.figure.Figure at 0x7f792de7c090>"
]
}
],
"prompt_number": 8
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"t = np.array(xrange(len(data[0].T))) * interval"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 9
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"for i in range(10):\n",
" plt.plot(t, [np.linalg.norm(pos - data[i].T[0]) ** 2 for pos in data[i].T])\n",
"plt.plot(t, 6 * 1 * t, 'k--', lw=2)\n",
"plt.xlim(t[0], t[-1])\n",
"plt.xlabel(\"Time\")\n",
"plt.ylabel(\"Mean Square Displacement\")\n",
"plt.show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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Emog13N397irLVh0q6nFdyCyz5+ZOkHdtsH4rIMbs+DzQGmWi0mj+t9i0CYYM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8AAAg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\n",
"text": [
"<matplotlib.figure.Figure at 0x7f792dbdaf90>"
]
}
],
"prompt_number": 10
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"MSD = np.zeros(len(t), float)\n",
"for i in range(len(data)):\n",
" MSD += np.array([np.linalg.norm(pos - data[i].T[0]) ** 2 for pos in data[i].T])\n",
"MSD /= len(data)\n",
"plt.plot(t, MSD, 'r-', label=\"Simulation\", lw=2)\n",
"plt.plot(t, 6 * 1 * t, 'k--', label=\"Theory\", lw=2)\n",
"plt.xlim(t[0], t[-1])\n",
"plt.legend(loc=\"best\", shadow=True)\n",
"plt.xlabel(\"Time\")\n",
"plt.ylabel(\"Mean Square Displacement\")\n",
"plt.show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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SKQDyorvJ2ZOLYZLFFMz6EO/m5kVzQEkiI4mJpuDemTPm8fDhZv+I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\n",
"text": [
"<matplotlib.figure.Figure at 0x7f79245d9390>"
]
}
],
"prompt_number": 11
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 11
}
],
"metadata": {}
}
]
}
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