EGMF and lepton trajectory.ipynb
174 KB
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Check turbulent magnetic generation\n",
"\n",
"This script aims to check the conformity of the the magnetic field generated in simulation with the one described in:\n",
"* Tautz and Dosch 2013 - http://arxiv.org/abs/1301.7164"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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IlH7wJQQHR2P69D8jODhwZraFAFoO21H3Rh2Co4KRfGey1iUZmqd93Kc+OxWhKaF9nieK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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7ffaf92bb750>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%matplotlib inline\n",
"from numpy import loadtxt, mean, arange, shape, sqrt\n",
"from matplotlib.pyplot import show, hist, subplots, suptitle\n",
"\n",
"def G_k(k,q,s):\n",
" return k**q / (1+k**2)**(float(q+s)/2)\n",
"\n",
"def A_k(k,alpha,q,s):\n",
" delta_kn = (1-1/alpha)*k\n",
" return G_k(k,q,s)*delta_kn\n",
"\n",
"f,ax = subplots(figsize=(12,9))\n",
"k,delta_k,Gk,Ak=loadtxt(\"Results/Ak.dat\",unpack=True)\n",
"\n",
"ax.scatter(k,Gk,color='r',marker='+',label=\"$G_k$\")\n",
"ax.scatter(k,Ak*2,color='b',marker='+',label=\"$A_k^2$\")\n",
"ax.scatter(k,sqrt(Ak*2),color='g',marker='+',label=\"$A_k$\")\n",
"#ax.scatter(k,delta_k,color='g',marker='+',label=\"$\\delta k$\")\n",
"\n",
"Nm = shape(k)[0]\n",
"kmin = min(k)\n",
"kmax = max(k)\n",
"alpha = (kmax/kmin)**(1./Nm)\n",
"s=5/3.\n",
"q=0\n",
"kn = kmin*(kmax/kmin)**(arange(Nm)/(Nm-1.))\n",
"ax.plot(kn,G_k(kn,q,s),'--y',linewidth=1)\n",
"ax.plot(kn,A_k(kn,alpha,q,s)*2,'--m',linewidth=1)\n",
"ax.plot(kn,sqrt(A_k(kn,alpha,q,s)*2),'--m',linewidth=1)\n",
"\n",
"ax.grid(b=True,which='major')\n",
"ax.legend(loc=\"best\")\n",
"ax.set_xlabel('k')\n",
"ax.set_ylabel('$A_k$')\n",
"ax.set_xscale('log')\n",
"ax.set_yscale('log')\n",
"\n",
"show()\n"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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rad4CnOJHbW/gP4tD4kHAiojYl+JseqF9rZ5v28z8rUXyMm+65bbqtn8CDqJof/kB4MTy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\nkQm3JEmS1KL/D7N8GqU4yetlAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f1280da98d0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%matplotlib inline\n",
"from numpy import loadtxt, mean, arange, shape, sqrt\n",
"from matplotlib.pyplot import show, hist, subplots, suptitle\n",
"\n",
"nbBins=50\n",
"Mpc=(3.0856776e+16)*1e8 # Mpc to cm\n",
"Nm=20\n",
"\n",
"x,y,z,Bx,By,Bz,B2=loadtxt(\"Results/turbulent_EGMF.dat\",unpack=True)\n",
"\n",
"f,ax = subplots(2,3,figsize=(12,9))\n",
"\n",
"ax[0,0].hist(Bx**2,nbBins)\n",
"ax[0,1].hist(By**2,nbBins)\n",
"ax[0,2].hist(Bz**2,nbBins)\n",
"ax[0,0].set_title(\"$\\overline{(\\delta B_x/\\delta B)^2}$ = %f\"%(mean(Bx[B2!=0]**2/B2[B2!=0])))\n",
"ax[0,1].set_title(\"$\\overline{(\\delta B_y/\\delta B)^2}$ = %f\"%(mean(By[B2!=0]**2/B2[B2!=0])))\n",
"ax[0,2].set_title(\"$\\overline{(\\delta B_z/\\delta B)^2}$ = %f\"%(mean(Bz[B2!=0]**2/B2[B2!=0])))\n",
"ax[0,0].set_yscale('log')\n",
"ax[0,1].set_yscale('log')\n",
"ax[0,2].set_yscale('log')\n",
"\n",
"suptitle(\"$\\overline{(\\delta B)^2}$ = %f, - Nm=%i\"%(mean(B2),Nm))\n",
"\n",
"ax[1,0].hist(Bx,nbBins)\n",
"ax[1,1].hist(By,nbBins)\n",
"ax[1,2].hist(Bz,nbBins)\n",
"ax[1,0].set_title(\"$\\delta B_x$\")\n",
"ax[1,1].set_title(\"$\\delta B_y$\")\n",
"ax[1,2].set_title(\"$\\delta B_z$\")\n",
"\n",
"show()"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": true
},
"source": [
"# Test lepton trajectory"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/usr/lib64/python2.7/site-packages/numpy/lib/npyio.py:823: UserWarning: loadtxt: Empty input file: \"Results/lepton_deflection.dat\"\n",
" warnings.warn('loadtxt: Empty input file: \"%s\"' % fname)\n"
]
},
{
"ename": "ValueError",
"evalue": "need more than 0 values to unpack",
"output_type": "error",
"traceback": [
"\u001b[1;31m---------------------------------------------------------------------------\u001b[0m",
"\u001b[1;31mValueError\u001b[0m Traceback (most recent call last)",
"\u001b[1;32m<ipython-input-2-ba7ddba6eae0>\u001b[0m in \u001b[0;36m<module>\u001b[1;34m()\u001b[0m\n\u001b[0;32m 5\u001b[0m \u001b[0mMpc\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;36m3.0856776e+16\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m*\u001b[0m\u001b[1;36m1e8\u001b[0m \u001b[1;31m# Mpc to cm\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 6\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m----> 7\u001b[1;33m \u001b[0mx\u001b[0m\u001b[1;33m,\u001b[0m\u001b[0my\u001b[0m\u001b[1;33m,\u001b[0m\u001b[0mz\u001b[0m\u001b[1;33m,\u001b[0m\u001b[0mux\u001b[0m\u001b[1;33m,\u001b[0m\u001b[0muy\u001b[0m\u001b[1;33m,\u001b[0m\u001b[0muz\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mloadtxt\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;34m'Results/lepton_deflection.dat'\u001b[0m\u001b[1;33m,\u001b[0m\u001b[0munpack\u001b[0m\u001b[1;33m=\u001b[0m\u001b[0mTrue\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m 8\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 9\u001b[0m \u001b[0mfig\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mfigure\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
"\u001b[1;31mValueError\u001b[0m: need more than 0 values to unpack"
]
}
],
"source": [
"%matplotlib inline\n",
"from mpl_toolkits.mplot3d import Axes3D\n",
"from numpy import loadtxt\n",
"from matplotlib.pyplot import figure, show, legend, gca, setp, savefig\n",
"from matplotlib.gridspec import GridSpec\n",
"\n",
"\n",
"Mpc=(3.0856776e+16)*1e8 # Mpc to cm\n",
"\n",
"x,y,z,ux,uy,uz = loadtxt('Results/lepton_deflection.dat',unpack=True)\n",
"\n",
"fig = figure(figsize=(20,18))\n",
" gs = GridSpec(2, 2, height_ratios=[1,1], width_ratios=[1,1]) \n",
" fig.subplots_adjust(hspace=0,wspace=0)\n",
" ax0 = fig.add_subplot(gs[0])\n",
" ax2 = fig.add_subplot(gs[2],sharex=ax0)\n",
" ax3 = fig.add_subplot(gs[3],sharey=ax2)\n",
"\n",
"fig = figure()\n",
"#ax = fig.add_subplot(111,projection='3d')\n",
"#\n",
"#ax.quiver(x/Mpc,y/Mpc,z/Mpc,ux,uy,uz,length=20)\n",
"#\n",
"#ax.legend(loc=\"best\")\n",
"#ax.set_xlabel(\"x [Mpc]\")\n",
"#ax.set_ylabel(\"y[Mpc]\")\n",
"#ax.set_zlabel(\"z [Mpc]\")\n",
"\n",
"ax = fig.add_subplot(111)\n",
"\n",
"ax.quiver(x/Mpc,z/Mpc,ux,uz)\n",
"ax.plot(x/Mpc,z/Mpc)\n",
"ax.scatter(x[0]/Mpc,z[0]/Mpc,marker='o',color='r')\n",
"\n",
"ax.grid(b=True,which='major')\n",
"ax.set_xlabel(\"x [Mpc]\")\n",
"ax.set_ylabel(\"z [Mpc]\")\n",
"\n",
"show()"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": true
},
"source": [
"## test trajectoire leptons cas des petits $\\lambda_B$\n"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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lhhwA0GUactOIhhyTSq29bal33DH29XnzkiVLeltbk+T885NnPWtw9QEwVBpy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\nNXPJqpRlH6B0zC8d81u9sM8+fNi5c5Pxi4D+wOVkinHt2rX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pvg4d4Nhj4Ze/zBTpWulr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sillN4HnA58GlgdeA74C3BaRMzry/OklEYB3we2BQYBM4HLgYsiIvdPYimlA4EjgU2ARcBDwLkR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\n6rCHnCRJU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toVuBZoBa4E7gSeB9YBWoD9gGtTSvMi4tZKDlKSJKlpvPhiVnz7y1+yHltv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\nJKmZ2UOuidhDTupajz32GE8//TSjRo2q91AkqdtbVQ+5WbNmc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3tmks9c8plLPnOpDQty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\nMzMzMzMzM6uRO+TMzMzMzMzMzMxq9P8CmS4QQnBV5gAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fa11077b550>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%matplotlib inline\n",
"from numpy import loadtxt\n",
"from matplotlib.pyplot import figure, show, legend, gca, setp, savefig\n",
"from matplotlib.gridspec import GridSpec\n",
"from matplotlib.colors import LogNorm\n",
"from matplotlib import rcParams\n",
"label_size = 20\n",
"rcParams['xtick.labelsize'] = label_size \n",
"rcParams['ytick.labelsize'] = label_size \n",
"\n",
"fig = figure(figsize=(20,18))\n",
"gs = GridSpec(2, 2, height_ratios=[1,1], width_ratios=[1,1]) \n",
"fig.subplots_adjust(hspace=0,wspace=0)\n",
"ax0 = fig.add_subplot(gs[0])\n",
"ax2 = fig.add_subplot(gs[2],sharex=ax0)\n",
"ax3 = fig.add_subplot(gs[3],sharey=ax2)\n",
"\n",
"Mpc=(3.0856776e+16)*1e8 # Mpc to cm\n",
"\n",
"x,y,z,ux,uy,uz,bx,by,bz = loadtxt('Results/lepton_traj.dat',unpack=True)\n",
"ax0.quiver(x[0:10]/Mpc,y[0:10]/Mpc,ux[0:10],uy[0:10])\n",
"ax0.quiver(x[0:10]/Mpc,y[0:10]/Mpc,bx[0:10],by[0:10],color='r')\n",
"ax2.quiver(x[0:10]/Mpc,z[0:10]/Mpc,ux[0:10],uz[0:10])\n",
"ax2.quiver(x[0:10]/Mpc,z[0:10]/Mpc,bx[0:10],bz[0:10],color='r')\n",
"ax3.quiver(y[0:10]/Mpc,z[0:10]/Mpc,uy[0:10],uz[0:10])\n",
"ax3.quiver(y[0:10]/Mpc,z[0:10]/Mpc,by[0:10],bz[0:10],color='r')\n",
"#ax0.scatter(x/Mpc,y/Mpc,marker='+')\n",
"#ax2.scatter(x/Mpc,z/Mpc,marker='+')\n",
"#ax3.scatter(y/Mpc,z/Mpc,marker='+')\n",
"ax0.grid(b=True,which='major')\n",
"ax0.set_ylabel(\"y [Mpc]\",fontsize=label_size)\n",
"setp(ax0.get_xticklabels(), visible=False)\n",
"\n",
"ax2.grid(b=True,which='major')\n",
"ax2.set_xlabel(\"x [Mpc]\",fontsize=label_size)\n",
"ax2.set_ylabel(\"z [Mpc]\",fontsize=label_size)\n",
"\n",
"ax3.grid(b=True,which='major')\n",
"ax3.set_xlabel(\"y [Mpc]\",fontsize=label_size)\n",
"setp(ax3.get_yticklabels(), visible=False)\n",
"\n",
"show()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 2",
"language": "python",
"name": "python2"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 2
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython2",
"version": "2.7.11"
}
},
"nbformat": 4,
"nbformat_minor": 0
}