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@danielballan
Created September 30, 2014 21:26
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{
"metadata": {
"kernelspec": {
"codemirror_mode": {
"name": "python",
"version": 2
},
"display_name": "Python 2",
"language": "python",
"name": "python2"
},
"name": "",
"signature": "sha256:382a7e8ba87501ec7eaed72dc88a11454bc94768eacef5989072750a3fb7f4a0"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Figures R1-R6\n",
"\n",
"This notebook performs the analysis and figure-drawing for Figures R1-R6. It take a single data file: the trajectories of particles moving in an active interface. The particles tracking that produced that data is not part of this notebook.\n",
"\n",
"Requirements:\n",
"\n",
"* Python 2.x\n",
"* the Python modules below, all of which are available on the Python Package Index\n",
"* `data/active-trajectories.h5`\n",
"* `data/neat-emsd.csv`\n",
"\n",
"## Setup\n",
"\n",
"Import dependencies and define utility functions."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"%matplotlib inline\n",
"\n",
"import matplotlib as mpl\n",
"import matplotlib.pyplot as plt\n",
"import lmfit\n",
"from lmfit import Model, Parameter\n",
"import seaborn as sns\n",
"import trackpy as tp\n",
"import numpy as np\n",
"import pandas as pd\n",
"from pandas import Series, DataFrame\n",
"\n",
"mpl.style.use('https://gist.github.com/danielballan/be066529de85e87a5fe7/raw') # Leheny lab style"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 2
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def slope_line(ax, slope, x0, x1, y0, s=None, **kwargs):\n",
" y1 = slope*(x1-x0) + y0\n",
" line, = ax.plot([x0, x1], [y0, y1], **kwargs)\n",
" if s is None:\n",
" s = str(slope)\n",
" text, = ax.text(np.mean([x0, x1]), y0, s, ha='right', va='bottom')\n",
" return [line, text]\n",
"\n",
"def log_slope_line(ax, slope, x0, x1, y0, s=None, **kwargs):\n",
" if s is None:\n",
" s = str(slope)\n",
" y1 = (x1/x0)**slope*y0\n",
" line, = ax.plot([x0, x1], [y0, y1], **kwargs)\n",
" text = ax.text(np.mean([x0, x1]), y1, s, ha='right', va='bottom')\n",
" return [line, text]"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 28
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Load the data files."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# This data is from a sophiticated particle tracking operation.\n",
"# The particles were in a rotating pool, and the coordinates of this data are\n",
"# in that reference frame. (Some *translational* motion is still present in t,\n",
"# but subtracted from tm.) Further, only particles situated well away from\n",
"# the walls of that rotating pool are included here. The length units are\n",
"# microns, not pixels.\n",
"with pd.get_store('data/active-trajectories.h5') as store:\n",
" t = store.get('t')\n",
" tm = store.get('tm') # drift-subtracted"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 13
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"neat_em = pd.read_csv('data/neat-emsd.csv', index_col=0)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 38
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Figure R5"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"fig, ax = plt.subplots()\n",
"arrowprops = dict(arrowstyle='->', connectionstyle='arc3', linewidth=2)\n",
"tp.plot_displacements(t, 0, 1, scale=40, ax=ax, arrowprops=arrowprops)\n",
"\n",
"ax.set(xlim=(-10, 100), ylim=(10, 140))\n",
"ax.set(xlabel=r'$x$ [\\textmu m]', ylabel=r'$y$ [\\textmu m]');\n",
"\n",
"fig.savefig('R5 displacement-arrows.eps')"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
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NQUFBZGxsTABo5MiRagWuqkd1zJgxwrbXr19T9erVCQCNHz8+1/NevnyZqlWrRsePH8+2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\nSUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x11cefe750>"
]
}
],
"prompt_number": 17
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Figure R6"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"dcorr = pd.concat([tp.direction_corr(tm, t0, t0 + 2) for t0 in np.arange(0, t.frame.max() - 2)])\n",
"dcorr = dcorr[dcorr.r < 100]\n",
"bins = np.linspace(dcorr.r.min(), dcorr.r.max(), 20)\n",
"binning = np.digitize(dcorr.r, bins)\n",
"binned_dcorr = dcorr.groupby(binning).mean()\n",
"sem_dcorr = dcorr.groupby(binning).sem()\n",
"\n",
"binned_dcorr = binned_dcorr.append(DataFrame({'r': [0], 'cos': [1]})) # by definition\n",
"sem_dcorr = sem_dcorr.append(DataFrame({'r': [0], 'cos': [0]}))\n",
"\n",
"C = binned_dcorr['cos']\n",
"r = binned_dcorr['r']\n",
"\n",
"def f(r, R):\n",
" return np.exp(-r/R)\n",
"\n",
"model = Model(f)\n",
"result = model.fit(C, r=r, R=7)\n",
"\n",
"dense_r = np.linspace(r.min(), r.max(), num=500)\n",
"\n",
"fig, ax = plt.subplots()\n",
"ax.errorbar(binned_dcorr['r'], binned_dcorr['cos'], yerr=sem_dcorr['cos'], ls='none', marker='o', color='k')\n",
"ax.plot(dense_r, result.eval(r=dense_r), color='r', lw=3)\n",
"#ax.plot(binned_dcorr['r'], binned_dcorr['cos'], 'ko')\n",
"ax.set_xlabel(r'$|r|$ [\\textmu m]');\n",
"ax.set_ylabel(r'$C_n(r)$');\n",
"ax.set_xlim(-2, 32);\n",
"ax.set_ylim(-0.18, 1.1);\n",
"\n",
"fig.savefig('R6 Cn.eps')\n",
"\n",
"print result.fit_report()\n",
"# Expect R = 4.66549924 +/- 1.746464"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"[[Model]]\n",
" f\n",
"[[Fit Statistics]]\n",
" # function evals = 9\n",
" # data points = 21\n",
" # variables = 1\n",
" chi-square = 0.687\n",
" reduced chi-square = 0.034\n",
"[[Variables]]\n",
" R: 4.66549924 +/- 1.746464 (37.43%) (init= 7)\n",
"[[Correlations]] (unreported correlations are < 0.100)\n"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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ddpv0m98Y7dtvlx55xNx6AABIInF57/WioiJlZmbKbrerpaVFTU1N8nq9vb+c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\n",
"text": [
"<matplotlib.figure.Figure at 0x11cefc750>"
]
}
],
"prompt_number": 18
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Exploratory Interlude: van Hove distributions"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"pos = tm.set_index(['frame', 'particle'])['x'].unstack() # particles as columns\n",
"vh = tp.vanhove(pos)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 20
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"ax = vh.loc[:, (pos.count() > 290)].plot(legend=False, style='k-', alpha=0.5, logy=True)\n",
"ax.set(xlim=(-4, 4), ylim=(1e-2, 1))\n",
"ax.set(xlabel=r'$\\Delta x$ [$\\mu$m]', ylabel=r'$P(\\Delta x)$')"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 21,
"text": [
"[<matplotlib.text.Text at 0x11e529550>, <matplotlib.text.Text at 0x11ddeb910>]"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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YvuZ0OrFarZjNZhXsGvW84+PjHD9+XNURT09Pc+DAgYs+y9LSUiyW/A8cY7GY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864apAuC+HXNVZ12fEHH3yQvHr/7LPPdHaAUrAwAHQSAxWr1NrampOO4UJgTGIA5sWuUUgI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\nk+srQXrAAAAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x11ddd7850>"
]
}
],
"prompt_number": 21
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"gaussian_model = lmfit.models.GaussianModel()\n",
"x = vh.index.values"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 47
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"dense_x = np.linspace(-10, 10, num=200)\n",
"\n",
"fit210 = gaussian_model.fit(vh[210], x=x, sigma=2, center=0, amplitude=0.3)\n",
"fit24 = gaussian_model.fit(vh[24], x=x, sigma=1, center=0, amplitude=0.3)\n",
"\n",
"fig, ax = plt.subplots()\n",
"\n",
"ax.plot(dense_x, fit210.eval(x=dense_x), 'k--', lw=1)\n",
"ax.plot(dense_x, fit24.eval(x=dense_x), 'k-', lw=1)\n",
"vh.loc[:, 210].plot(ax=ax, mfc='none', mew=2, ls='none', mec='k', marker='o', legend=False)\n",
"vh.loc[:, 24].plot(ax=ax, mfc='none', mew=2, ls='none', mec='k', marker='x', legend=False)\n",
"ax.set(xlim=(-4, 4), ylim=(1e-2, 1), yscale='log')\n",
"ax.set(xlabel=r'$\\Delta x$ [$\\mu$m]', ylabel=r'$P(\\Delta x)$')\n",
"ax.set(xticks=[-4, -2, 0, 2, 4])"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
" - Adding parameter \"fwhm\"\n"
]
},
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 48,
"text": [
"[[<matplotlib.axis.XTick at 0x110fcea10>,\n",
" <matplotlib.axis.XTick at 0x110f41ed0>,\n",
" <matplotlib.axis.XTick at 0x110f58790>,\n",
" <matplotlib.axis.XTick at 0x110f6bd50>,\n",
" <matplotlib.axis.XTick at 0x110f9bbd0>]]"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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n39GPO3DgQIwZM8bQswsACoUC+fn5WLhwIZydnVFWVobp06dLWDkR2SKGXSKi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\n1WLZJSIiIiLVYtklIiIiItX6P0Uv2GDkyd1DAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x11e19ccd0>"
]
}
],
"prompt_number": 48
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The ensemble MSD, which is superdiffusive over short lag times, will be used to scale the van Hove plots below."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"em = tp.emsd(tm, 1., 60.) # data is already is units of microns"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 27
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"ax = em.plot(style='ko', loglog=True)\n",
"ax.plot(neat_em.index, neat_em - 0.01, 'k--')\n",
"log_slope_line(ax, 1, 5e-1, 1e0, 1e1, lw=2, color='k')\n",
"log_slope_line(ax, 1.25, 3e-2, 1.5e-1, 3e-1, lw=2, color='k')\n",
"\n",
"ax.set(xlabel=r'$t$ [s]', ylabel=r'$\\langle \\Delta r^2\\rangle$ [$\\mu$m$^2$]')\n",
"ax.set(ylim=(1e-2,1e2))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 39,
"text": [
"[(0.01, 100.0)]"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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dCw4OxoYNG5CdnQ29Xo+YmBhoNBocPnwYNTU1UKvV2LlzJwMsKYZcN2tx1ZXk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\nAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x111348e10>"
]
}
],
"prompt_number": 39
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"These are ensemble van Hove plots, computed at various lag times as labeled. They using only particles that are present for more than 200 frames."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"lag_interval = 10\n",
"\n",
"ens_vh = tp.vanhove(pos.loc[:, pos.columns[pos.count() > 200]], lag_interval, ensemble=True)\n",
"x = vh.index.values.astype(float)\n",
"peak = ens_vh.max()\n",
"\n",
"fit_ens = gaussian_model.fit(ens_vh, x=x,\n",
" sigma=lmfit.Parameter(value=0.5, vary=False),\n",
" center=lmfit.Parameter(value=-0.05, vary=False),\n",
" amplitude=lmfit.Parameter(value=peak, vary=False))\n",
"\n",
"fig, ax = plt.subplots()\n",
"\n",
"ax.plot(dense_x, fit_ens.eval(x=dense_x), 'k--', lw=1)\n",
"ax = ens_vh.plot(ax=ax, mfc='none', mew=2, ls='none', mec='k', marker='o', legend=False)\n",
"ax.set(xlim=(-4, 4), ylim=(1e-2, ens_vh.max()*1.1), yscale='log')\n",
"ax.set(xlabel=r'$\\Delta x$ [$\\mu$m]', ylabel=r'$P(\\Delta x)$')\n",
"ax.set(title=r'Ensemble van Hove at lag time = {0} frames'.format(LAG))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 71,
"text": [
"[<matplotlib.text.Text at 0x126702050>]"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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RkVzxBj8FkNtAeSL6XKinjhsbG0NRURE6Ojpw//3349/+7d+wdOnSadf/xhtv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\nERERUSsYlomIiIiIWvH/AYOxSD9XJ2nbAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x11dd6bf10>"
]
}
],
"prompt_number": 71
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We will fit the data using a combination of a Gaussian and a Laplace lineshape.\n",
"\n",
"$$P(\\Delta x) = \\frac{1 - f}{\\sqrt{2\\pi\\sigma^2}}\\exp\\left[-\\frac{1}{2}\\frac{\\Delta x}{\\sigma}^2\\right] + \\frac{f}{\\xi}\\exp\\left[-\\frac{|\\Delta x|}{\\xi}\\right]$$"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def laplace_gaussian(x, sigma, xi, f):\n",
" g = 1/np.sqrt(2 * np.pi * sigma**2) * np.exp(-1/2 * (x/sigma)**2)\n",
" l = 1/xi * np.exp(-np.abs(x)/xi)\n",
" result = (1 - f) * g + f * l\n",
" return result\n",
"\n",
"lg_model = lmfit.Model(laplace_gaussian)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 62
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Figure R3"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"lags = [1, 9, 78] # np.rint(np.logspace(0, 2, num=10, endpoint=False)).astype(int)\n",
"\n",
"colors = iter(sns.color_palette('husl', 3))\n",
"markers = iter(list('osD'))\n",
"fig, ax = plt.subplots()\n",
"\n",
"for LAG in lags:\n",
" ens_vh = tp.vanhove(pos.loc[:, pos.columns[pos.count() > 200]], LAG, ensemble=True)\n",
" x = ens_vh.index.values.astype(float)\n",
" \n",
" peak = ens_vh.max()\n",
" middle = ens_vh.iloc[len(ens_vh)//2 - 3:len(ens_vh)//2 + 3]\n",
" middle_x = middle.index.values.astype(float)\n",
"\n",
" fit_ens = model.fit(middle, x=middle_x,\n",
" sigma=middle_x[-1],\n",
" center=0,\n",
" height=lmfit.Parameter(value=peak, min=0.9*peak, max=1.1*peak))\n",
" \n",
" # scale = fit_ens.values['sigma']\n",
" scale = np.sqrt(em.iloc[LAG - 1])\n",
" print scale\n",
" # Rescale data and fit by P(0)\n",
" y0 = fit_ens.eval(x=np.array([0]))\n",
" \n",
" y = ens_vh/y0\n",
" y_fit = fit_ens.eval(x=dense_x)/y0\n",
" \n",
" # Shift horizontally to account for drift. Put ymax at x=0.\n",
"\n",
" line, = ax.plot((x - fit_ens.values['center']), y, ls='none', marker=next(markers))\n",
" ax.plot((dense_x - fit_ens.values['center']), y_fit, lw=2, ls='--', color=line.get_color())\n",
"\n",
"ax.set(xlim=(-8, 8), ylim=(5e-4, 2), yscale='log')\n",
"ax.set(xlabel=r'$\\Delta x$', ylabel=r'$P(\\Delta x)/P(0)$')\n",
"\n",
"fig.savefig('R3 Active nongaussian van Hove.eps')"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"0.204995904806\n",
"0.84896970348\n",
"3.07491197165\n"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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bB8vOEjT/dQ9u3LEN2uBgWe8vhYaO0wDEHY8LjNp+ME6orTjc5PX19x9qwr2L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UKoBYCYi1raO3fuSJJSqRRtLYDYIdQCQMz9t6WN0NYCiBuO9AKAGDvf0kZSqZTS6bQ8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\n",
"text": [
"<matplotlib.figure.Figure at 0x122eac150>"
]
}
],
"prompt_number": 73
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Figure R4"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"lags = [1, 9, 78] # np.rint(np.logspace(0, 2, num=10, endpoint=False)).astype(int)\n",
"\n",
"colors = iter(sns.color_palette('husl', 3))\n",
"markers = iter(list('osD'))\n",
"fig, ax = plt.subplots()\n",
"\n",
"for LAG in lags:\n",
" ens_vh = tp.vanhove(pos.loc[:, pos.columns[pos.count() > 200]], LAG, ensemble=True)\n",
" x = ens_vh.index.values.astype(float)\n",
" \n",
" peak = ens_vh.max()\n",
" middle = ens_vh.iloc[len(ens_vh)//2 - 3:len(ens_vh)//2 + 3]\n",
" middle_x = middle.index.values.astype(float)\n",
"\n",
" fit_ens = model.fit(middle, x=middle_x,\n",
" sigma=middle_x[-1],\n",
" center=0,\n",
" height=lmfit.Parameter(value=peak, min=0.9*peak, max=1.1*peak))\n",
" \n",
" # scale = fit_ens.values['sigma']\n",
" scale = np.sqrt(em.iloc[LAG - 1])\n",
" print scale\n",
" # Rescale data and fit by P(0)\n",
" y0 = fit_ens.eval(x=np.array([0]))\n",
" \n",
" y = ens_vh/y0\n",
" y_fit = fit_ens.eval(x=dense_x)/y0\n",
" \n",
" # Shift horizontally to account for drift. Put ymax at x=0.\n",
"\n",
" ax.plot((x - fit_ens.values['center'])/scale, y, ls='none', marker=next(markers))\n",
"\n",
"lg_result = lg_model.fit(ens_vh, x=x, sigma=0.5, xi=0.1, f=0.5)\n",
"\n",
"ax.plot((dense_x - fit_ens.values['center'])/scale, y_fit, lw=2, ls='--', color='k')\n",
"ax.plot(dense_x/scale, lg_result.eval(x=dense_x)/y0, lw=2, color='k')\n",
"ax.set(xlim=(-4, 4), ylim=(5e-4, 2), yscale='log')\n",
"ax.set(xlabel=r'$\\Delta x / \\sqrt{\\langle \\Delta r^2 \\rangle}$', ylabel=r'$P(\\Delta x)/P(0)$')\n",
"\n",
"fig.savefig('R4 Active nongaussian van Hove rescaled.eps')"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"0.204995904806\n",
"0.84896970348\n",
"3.07491197165\n"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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cvS6Dg5UV3h0ZxEDbCrznhqn9tzl16hTmz5+Pb775pslz9vb2OHjwINzd3XH0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\n",
"text": [
"<matplotlib.figure.Figure at 0x122f9be50>"
]
}
],
"prompt_number": 64
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Figure R1\n",
"\n",
"There are two expressions in the literature for diffusive motion with an exponentially decaying memory. They fit comparably well. In the final plot, only Kurtuldu's expression is used.\n",
"\n",
"[Kurtuldu](10.1073/pnas.1107046108) Eq. 1: $\\langle \\Delta r^2 \\rangle = 4D\\ (t + \\tau (e^{t/\\tau} - 1))$\n",
"\n",
"[Wu](/10.1103/PhysRevLett.84.3017) Eq. 5: $\\langle \\Delta r^2 \\rangle = 4Dt\\ (1- e^{t/\\tau})$"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def kurtuldu_eq1(t, tau, D):\n",
" return 4*D*(t + tau*(np.exp(-t/tau) - 1))\n",
" \n",
"kurtuldu_model = Model(kurtuldu_eq1)\n",
"\n",
"def wu_eq5(t, tau, D):\n",
" return 4*D*t*(1 - np.exp(-t/tau))\n",
"\n",
"wu_model = Model(wu_eq5)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 78
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"adjusted_em = em - 0.025 # subtract off systematic static error\n",
"\n",
"t = em.index.values\n",
"\n",
"decimation = np.unique(np.floor(np.logspace(0, np.log10(len(t)), num=10)).astype(int).clip(0, len(t) - 1))\n",
"weights = 1/np.log(adjusted_em.iloc[decimation]/adjusted_em.min())**3\n",
"\n",
"kurtuldu_result = kurtuldu_model.fit(adjusted_em.iloc[decimation], t=t[decimation], D=0.1, tau=0.01, weights=weights)\n",
"wu_result = wu_model.fit(adjusted_em.iloc[decimation], t=t[decimation], D=3, tau=0.01, weights=weights)\n",
"\n",
"fig, ax = plt.subplots()\n",
"ax.plot(t, adjusted_em, ls='none', marker='o', mfc='none', mec='k', mew=2)\n",
"ax.plot(t, kurtuldu_result.model.func(t=t, **fit_result.values), 'r-')\n",
"#ax.plot(t, wu_result.model.func(t=t, **other_fit_result.values), 'g-')\n",
"\n",
"ax.plot(neat_em.index, neat_em - 0.01, 'k--')\n",
"\n",
"log_slope_line(ax, 1, 5e-1, 1e0, 0.7e1, lw=2, color='k')\n",
"log_slope_line(ax, 1.8, 1.3e-2, 6e-2, 3e-2, lw=2, color='k')\n",
"\n",
"ax.set(xlabel=r'$t$ [s]', ylabel=r'$\\langle \\Delta r^2\\rangle$ [\\textmu m$^2$]')\n",
"ax.set(ylim=(1e-2,3e1), xlim=(1e-2, 3))\n",
"ax.set(xscale='log', yscale='log')\n",
"\n",
"print kurtuldu_result.values\n",
"print wu_result.values\n",
"\n",
"fig.savefig('R1 active msd.eps')"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"{'tau': 0.05235781132106742, 'D': 1.8522319902890854}\n",
"{'tau': 0.10696358763420102, 'D': 1.7416492268701644}\n"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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lWcPg/8BtgP2Pvz89gNeBv/TvT2hoKACHDh3itddec5YGBAQElLvX19dXgwvE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\nAMB0/h+E9u43u5XzyQAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x122f6e290>"
]
}
],
"prompt_number": 79
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"!gist \"Active Analysis.ipynb\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"https://gist.github.com/369f9ace1549f4e8414a\r\n"
]
}
],
"prompt_number": 80
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": []
}
],
"metadata": {}
}
]
}
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