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@oroszl
Created March 16, 2017 17:29
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a notebook that breaks mathjax and nbconvert
{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true,
"scrolled": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Populating the interactive namespace from numpy and matplotlib\n"
]
}
],
"source": [
"%pylab inline"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": true,
"deletable": true,
"editable": true
},
"outputs": [],
"source": [
"rc('text', usetex=True) # az abran a xticks, yticks fontjai LaTeX fontok lesznek "
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": true,
"deletable": true,
"editable": true
},
"outputs": [],
"source": [
"#from sympy.mpmath import *\n",
"import sympy.mpmath as mpmath"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": true,
"deletable": true,
"editable": true
},
"outputs": [],
"source": [
"from scipy.integrate import * # az integráló rutinok betöltése\n",
"from ipywidgets import * # az interaktivitásért felelős csomag\n",
"\n",
"import matplotlib.pyplot as plt"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": true,
"deletable": true,
"editable": true
},
"outputs": [],
"source": [
"# Abra es fontmeretek\n",
"xfig_meret= 9 # 12 nagy abrahoz\n",
"yfig_meret= 6 # 12 nagy abrahoz\n",
"xyticks_meret= 15 # 20 nagy abrahoz\n",
"xylabel_meret= 21 # 30 nagy abrahoz\n",
"legend_meret= 21 # 30 nagy abrahoz"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"# Ideális Bose-gáz "
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"(Cserti József, ELTE Komplex Rendszerek Fizikája Tanszék, 2016. február)"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"### Néhány alapvető formula:"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"Bose-Einstein integrál: \n",
"\n",
"\\begin{align}\n",
"g_{s}(z) &=\\frac{1}{\\Gamma(s)}\\,\\intop_{0}^{\\infty}\\frac{x^{s-1}dx}{\\frac{1}{z}e^{x}-1}\\label{eq:g_s_z}\\\\[1ex]\n",
"\\zeta(s) &=\\sum_{k=1}^{\\infty}\\frac{1}{k^{s}}=\\frac{1}{\\Gamma(s)}\\,\\intop_{0}^{\\infty}\\frac{x^{s-1}dx}{e^{x}-1} = g_s(1)\n",
"\\label{eq:zeta_def}\n",
"\\end{align}"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"A $g_s(z)$ függvényt az irodalomban polylogaritmus függvénynek ([Polylogarithm function](https://en.wikipedia.org/wiki/Polylogarithm)) is nevezik, és a jelölése: $Li_s(z)$, "
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"\\begin{align}\n",
"\\label{eq:Li_def}\n",
"g_{s}(z) &\\equiv Li_s(s) = \\sum_{k=1}^\\infty \\, \\frac{z^k}{k^s}=z+ \\frac{z^2}{k^2} + \\frac{z^3}{k^3} + \\dots\n",
"\\end{align}"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"\\begin{align}\n",
"\\label{eq:zeta_def}\n",
"g_{3/2}(1) = \\zeta\\left ( \\frac{3}{2}\\right ),\\quad g_{5/2}(1)=\\zeta\\left ( \\frac{5}{2}\\right )\n",
"\\end{align}"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"\\begin{equation}\n",
"\\label{eq:T_def}\n",
" \\frac{T}{T_{c}} =\\left(\\frac{g_{5/2}(1)}{g_{3/2}(z)}\\right)^{2/3},\\;\\mathrm{ahol}\\;z=e^{\\beta\\mu}\\;\\mathrm{\\acute{e}s\\;0\\leq z \\leq 1}\n",
"\\end{equation}"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"## A $g_s(z)$ függvény: "
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": true,
"deletable": true,
"editable": true
},
"outputs": [],
"source": [
"Npoint =200\n",
"\n",
"zlist=linspace(0,1,Npoint) #mintavételezési pontok legyártása\n",
"\n",
"g3p2=[]\n",
"g5p2=[]\n",
"\n",
"for i in range(0,len(zlist)):\n",
" poly1=float(mpmath.polylog(1.5,1))\n",
" poly2=float(mpmath.polylog(1.5,zlist[i]))\n",
" poly3=float(mpmath.polylog(2.5,zlist[i]))\n",
" \n",
" g3p2.append(poly2)\n",
" g5p2.append(poly3)\n",
" "
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"data": {
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Fn4KCghb3+qmqqmLKlClRf4eIiCRZnEeANAUWR7fc4qYnQ3/2N6XVlu3jJTs7m/T09KAz\ntPLz8zHGkJ2d3XQvNLSkp6ezevXqoHtFRUURl6WDCyUbN26MOIqTlZXF1q1bw+5XVFQwc+ZMMjIy\nKCgoYMWKFSxatIjs7Oz9Bpzq6uqol+CLiIgHaApMEi0tLY1ly5Yxe/ZsBg0aBMDAgQMZNmxYU72P\nf0l86OqtqqqqoKXmgdNfofZXv5OXl0dJSQlTp04Nur9s2TLefvvtps9PmzaNrKws7rvvPgYPHhzx\nWfX19UGF1yIikgJCp8BipAAkURk7dmxQkMnOzg6bylqyJHgT7rq6uqARIv8S90gKCwuZN29eUFv/\nijCAqVOnkp+fHxaA7rjjjqbXs2bNalpOvz9Lly4N67uIiHicpsAk0UJHberq6qioqAiaYsrMzAxa\nuVVRUUGvXr2CppmKiorCVnwBrFixgmHDhjUVT5eVlTUtp/dLS0tr2r05ViUlJRH7ISIiHqYpMEmk\nwsJCbr75ZhobG5vuTZ48mRkzZoRNMV122WUUFrqNuf07QQeKtJtzdXV1Uz0RuKX0xpiwAAQwd+5c\nZs+ezcKFC1v9+5SVlTF+/HgdgSEikkqshTffbL7u2zfmRxob406KqcIYY6P9XY0xdJR/LwfiX14+\nfPhwrLVUVFSQl5fXYiFzS/wjO9dff31M/Vm5ciWZmZlB02MHY86cOUHTZtHQnwcRkSSrqgL/1iU9\ne0JNDaZLF6y1prWPVACK3FZ/4cVZYWEh06dPj8vIy8qVKxk3btxBP2vJkiWtCmD68yAikmQPPghX\nX+1en3suPPmk/3+bWx2ANAUmCVFVVRW3aaeDHX3yi3X0SUREkmTt2ubXI0fG5ZEqgpY2V19f3+Lq\nLxERkQNat6759YgRcXmkpsAit9WUhzTRnwcRkSSqqYGMDPe6Sxeoq4PDD495CkwjQCIiIuJdGzY0\nvx46FA4/PC6PVQASERER72qD+h9QABIREREvCwxAcar/AdUAtdRWNR/SRH8eRESSZPduSEtz/wT4\n8MOmXaBVAyQiIiLt06ZNzeFn4MC4HIHhpwAkIiIi3vTEE82vR42K66MVgERERMSbHnmk+fUFF8T1\n0aoBitxWNR/SRH8eRESSoLoasrLc627d4LPP4Igjmt7WURhtoH///k2nk4v0798/2V0QEel4Akd/\ncnODwk88KABFsHXr1mR3QUREpGP7xz+aX198cdwfrykwERER8ZYdO+DII6Gx0V1v3w7f/GZQEy2D\nFxERkfbl8cebw88ZZ4SFn3hQABIRERFvCaz/aYPpL9AUmIiIiHhJfb3b8HDXLnf92mtw0klhzTQF\nJiIiIu3H0qXN4Wfw4IjhJx4UgERERMQ77r+/+fW117bZ12gKTERERLzh7bfhhBPc6y5d4IMP3Gqw\nCDQFJiIiIu3DAw80v54wocXwEw8KQCIiIpJ8jY3BAeiaa9r06xSAREREJPnWrIF333Wve/eO++Gn\noRSAREREJPnuvrv59RVXuANQ25CKoEVERCS5tm1zJ7/7d39uYe+fQCqCFhERkdR2zz3N4Sc3t832\n/gmkACQiIiLJ89VXsGRJ8/WPf5yQr1UAEhERkeR56CGoqXGvBwyA889PyNcqAImIiEhyWAt/+EPz\n9Q9/CJ07J+SrVQQtIiIiyfHoo3DRRe71YYfB++9Dr15RfVRF0CIiIpJ6rIXf/rb5esaMqMNPPHhu\nBMgYkwZM811mA3OttZX7aT8L2AJkAWUttdUIkIiIiIesXu1WfAEccghUV0PfvlF/PNYRoC6t/WAb\nmmetnQFgjMkENhljhllrt4Y2NMYsBW631r7kuy4GxieysyIiItIKt9/e/Pr73z+o8BMPnpoC8wWe\nLf5ra201UAVc1sJHcv3hx6fKGDO2DbsoIiIisXruOSgrc687d4bZsxPehVaPABljeuKmqNJx0091\nQA1QFRJKDkY6MBcoDLhXA2RE+P5cXDgKVAfkAatb+f0iIiLS1n75y+bXV1zhdoFOsIMKQMaYAcAM\n3IhMLbAJFzp2AL2AQcAU30hOFVACLLXW7ozm+dbaSmPM8JDb2cAdEZqnR7i3w9deREREvKisLHj0\n57//OyndiCoA+UZ75uNCziJrbUEUn0kDJgNLjDHF1tolB/oMQODokTFmGvCitXZNhKa9o3meiIiI\neIS18POfN19///twwglJ6coBa4CMMUOBecDN1trLrbVl0TzYWltvrV1srZ0MVBtjIo3i7O9704FJ\n1tpzW2hSE+Fe2FSZiIiIeMQ//wkvvOBed+sGv/pV0rqy3xEg3yhOlrV2Zixf4gtNZcaY66MdCcLV\nAuXv5/06Ik+DhdYFNbnllluaXufk5JCTkxNlV0RERCQm+/YFj/7ccAP06xf1x8vLyykvL49bdzy3\nDxA07e2zzL/03RgzNNL+PsaYHdbajIDrpcBCa21YEbT2ARIREUmiBQtc6AE44gioqoI+fVr9uHa3\nE7QxZhJQAdQaY9KMMcOA4b73hvqm5PxKjTFDAq4zI4UfERERSaK6uuBi5zlzYgo/8RDLMvhLrbUr\n49kZ3+qxZYB/qMb4Xuf5ri8H0gD/lNw0oMAYkwWcBkyNZ39EREQkDm67DXbscK/794ef/Sy5/SGG\nKTDfSEyBtfbykPtzgYdj2AuoTWgKTEREJAneegtOPtnVAAEUFcHkyTE/NmlTYL6anGpjTFHI/QLc\n0vfBrX22iIiItAPWwo9+1Bx+RoyA/P2tb0qcVgcg35ETFjcFVRTy9iIg2tVeIiIi0h4tWwbFxe51\np05w111gWj1oE1exFEEvA7b4zuuaY4xZEPDeDtzxGCIiItIR7dwJP/1p8/UNN8Dw0MMekieWAFSL\nbzNCa20VsCggBJ2G28dHREREOqJf/xo+/NC9Pvpo+M1vktufELEUQY8DpgYWQfsOKB0H7LDW3hmf\nLsaHiqBFREQS5IUX4KyzoLHRXT/0kDv0NI5iLYKOaSNE307RNvCwU18wWmCtPb7VD24DCkAiIiIJ\nsHu3m+p67TV3PW6cqwOKc+1PUjdC9J33tTPkXilw+cGe/SUiIiLtwO23N4efww6DRYs8U/gcyJNH\nYbQFjQCJiIi0sc2b3eiPf9n7XXfBj3/cJl/VplNgxpieoSM8sYj38w7yuxWARERE2sru3XD66S4E\nAZx9Njz7rFv+3gbadArMWrvTGDPLGNOztV/g59s5elyszxEREREP+vWvm8PPoYfCffe1WfiJh6im\nwHzHW7xjrT3ozQ194Wk+UBzvs8MOsh8aARIREWkLa9fCOee4nZ+hTae+/BK2Csy3xP1mYAtuE8SN\nLU1nGWMG4A4wzcftF1Tg2zAxaRSARERE2kBdHQwbBtW+v+Zzc92qrzYe/Un4Mnjfie2X0XwyO0Ad\nkB7QrAooARZba+tb27l4UgASERGJM2vd2V4rVrjrtDR45RXo16/Nvzqp+wAFdCIN3LL4mB/WRhSA\nRERE4uzuu+GHP2y+Xro0YYedeiIApQIFIBERkTiqqHC7Pe/Z465vuMEFogRRAIqSApCIiEic7Nzp\n6n62bHHXQ4bAhg1u9VeCxBqAusSpE2Nxp7+XWmu3BtwfCvRiPwXTIiIikkKshWnTmsPPEUe4qa8E\nhp94iKlE2xiTaYypAZYDBcCWgBPhsdZWAga3EkxERERS3aJFUFTUfL14MRzvqeM/oxLrGrW5QK61\ntre1dhCQAVQZYwL+zVCFC0EiIiKSyp5/Hn7yk+bradNgypTk9ScGsZ4GP8taWxjhfhYwC7dvkAFq\nrLWdW/1FcaAaIBERkRhs3w7Z2fDhh+761FPhueege/ekdCepp8G3xFpbZa2dCUwHstviO0RERCRB\nvv4aJk5sDj+9e8OqVUkLP/EQawBa5DsrbJIxpsEYMyTwTd/oUDqaAhMREUlN/qLnF1901507w7Jl\nkJWV3H7FKF4bIWYC6b6i54jv6ygMERGRFHTnnTBrVvP1H/4AP/pR8vrjk7R9gIwxQ6y1L7X2ixNN\nAUhEROQgPfkknH8+NDa66+uuc6u+TPIndpIZgHJxB56mASXJPOk9GgpAIiIiB+GVV2DkSLfpIcDZ\nZ8Pq1dCtW3L75eOJnaBTIQwpAImIiETp/ffdMRfvv++ujz0WNm6Eo45Kbr8CeCIABT3Q7f7sPyl+\nE7DUC7tAKwCJiIhEob4eRo1yI0AAPXrAM8+44y48xHMBKOjhHgpDCkAiIiIHsGcPTJjgproAunSB\nf/0L8vKS268IPB2Agr7IrRS7DHdm2CZr7ZKEfHHz9ysAiYiItKSxEa6+Gv72t+Z7DzwA3/te8vq0\nHykTgIK+1Jg0a219gr9TAUhERKQlc+bA3LnN17/9Lfz858nrzwF4MgAFnA6/0StL5RWAREREWlBY\nCLNnN19Pnw4LFnhiuXtLkhqAjDE3AYv8dT2+aa4SoM7XJB13EnxusguhFYBEREQiWLgQZs5svr7g\nAnfMRZcuyetTFGINQLH+dmXAMuBc3/Uk36nwTYwxw4B5wExERETEO/76V7jhhubr0aNh6VLPh594\niPUssCpgnDGmp+867LgLa22Fr52IiIh4xapVcO217qwvgNNPh0cfTekDTg9GrAFocsi15phERES8\nrrgYpkyBhgZ3/Z3vwBNPuD1/OohYx7jSgUJgsjHGAOnGmAHW2q3GmBrgelwx9LIYv0dERETioawM\nJk50e/4AHH88lJRA797J7VeCtdkyeF9BNMk+Bd5PRdAiItLhlZbChRfCrl3u+rjj4Nln3T9TTDIP\nQ10KvIM7+2tNazuQKApAIiLSoRUXw8UXN4efY46B8nIYNGi/H/OqZAagScBi3DSYBSqAUtwy+I3J\nXvYeSgFIREQ6rCefdNNeu3e76379YM0aGDgwuf2KQawBKJYi6ExguLW2E3AasBQYjgtBtcaYF40x\ndxhjBsfwHSIiIhKLf/3Ljfz4w89xx7mRnxQOP/EQ0yowf32PtbbCWltorR3vC0QrcXsE5QGVxph7\nYu+qiIiIHJSVK+GSS5oLnvv3h6efhqys5PbLA2IJQC0OO1lr84HPrLXZQG9gkDHm0hi+S0RERA7G\nn/8M+fnN4WfAABd+BgxIZq88I5YAVGGMecoYs99NA6y1ddba8bjRIBEREWlrv/89/OAH7oR3gBNO\ncOGnf//k9stDWh2ArLVluGmuOmPMw8aYS40xAwB8O0OHlpVXRPtsY8xc34Gq+2sz1feTZozJMsbc\ncXC/gYiISDtjLfz61/CznzXfGzIkZZe6t6VYa4Dm484BywaWA1uMMQ24IzGWhjY/0POMMbnGmFnA\npCi+Ph24F6gBinyvRUREOqbGRvjpT+H//b/meyNGuNVeRx6ZvH55VMynnVlrS3E1PpnAMNxJ8But\ntfUAxpg03Inw9wJLDvCsMqDMGBPNdFktLgThtSX3IiIiCbV7N1xzDRQVNd877zxYsQIOOyx5/fKw\nuB336lsRFukw1HpjzM0cxBRYlIyCj4iIdHi1tW6l19NPN9/Lz3cnvR9ySPL65XEJOe/eWlvYFs/1\nrSwzuD2Jyqy1lW3xPSIiIp703nswYQK89lrzvR/+0BVBd+6cvH6lgIQEoDZSFDgCZIx5xxgzTKNC\nIiLSIbzyigs/H3zQfG/ePJg1C0yrN0juMGIqgk6mCEGnCpicjL6IiIgkVHExjBzZHH66dnVTXrNn\nK/xEKSUDkDEm0xhTE3K7DujY+3qLiEj7t2ABfPe7sNM3DtCjBzzxBFx1VXL7lWJSeQpsdsh1OrBl\nfx+45ZZbml7n5OSQk5MT906JiIi0iYYG+K//grvuar53zDHw+OMwuP0fu1leXk55eXncntfq0+D3\n+1BjFgJTgXwgA9hhrV15EJ8vBuZaa1cH3BsK4C90NsbcZK290/c6HXjRWnv8fp6p0+BFRCQ17dwJ\nV1zhDjb1y86GRx6Bvn2T168kivU0+LYaAcoDqgNDjzHm0gOFIF/IuRzIBXoZY4r8Icd3Pw2Y6bte\n7Ns0ESALHbUhIiLtUVWVO8391Veb702aBA88oD1+YtAmI0BepBEgERFJOSUlcPnlbq8fv5//HG67\nDTqlZBlv3MQ6AtSx/+2JiIh4kbUwf77bzdkffg45BO6/H3772w4ffuIhlYugRURE2p8vv4Trrgs+\n1qJvX1h9vP3fAAAgAElEQVS5Es44I3n9amdaHYB8J75n41ZfZeGWodcAVdbal+LTPRERkQ6kqgom\nTnSbHPqNGAHLl8PRRyevX+3QQdUAGWMGADOAy3CHkW7CBZ8dviYZuDCUiduYsARY6oXdmVUDJCIi\nnlZcDFOmBNf7zJzpjrXQmV5hYq0BiioA+UZ75gO9gEW+U9sP9Jk03M7MeUCxtXa/J8G3NQUgERHx\npMZGV+/zi1+41+ACzz33uKkwiajNA5Bvafo0oMBaW9+qLzEmFxhnrZ3Tms/HgwKQiIh4zmefwdVX\nu52c/Y45xtX7nH568vqVAto0APlGccZZa1e09gtCnnd9skaCFIBERMRT1q1zU17vv998b+RIWLZM\n9T5RSMgUWHugACQiIp7Q2Ah33un282loaL4/ezb85jfuYFM5IK/uBC0iIiKhduyAa65x53f59e7t\ndnU+//zk9asDavVOSsaYS+PZERERkXZt/XoYMiQ4/Jx1FlRWKvwkQSxbSVYbY4pCbxpj5hpjhsTw\nXBERkfajoQFuvx1Gjw6u95k1C55+Go47Lnl968BiqgEyxswFMq21l4fc3whcZ619Ocb+xY1qgERE\nJOG2bYPvfQ+efbb5Xq9e8Je/wIUXJq9f7UDSzgIzxowFLFAQYSRoEZDUfX9ERESS6u9/h8GDg8PP\n2WfDSy8p/HhALFNgy4At1tpqYI4xZkHAeztwO0KLiIh0LPX1btTnyivda4DOneHWWzXl5SGxBKBa\n3NlfWGurgEUBIeg0YG6MfRMREUkta9e6UZ+//rX5XlaWu/+rX0EXLb4+WNbCo4/Caae5GcV4iSUA\nzQCaan+stZXAcmPMHcBn1trCWDsnIiKSEvbsgf/+b1foHPi39LXXuimvM89MWtdSlbXw1FPuLNiL\nLoKNG+GWW+L3/FiLoNMAG3jYqTFmHLDAWnt8HPoXNyqCFhGRNvHyy25vn5cD1v2kp8O998Lkycnr\nVwp7+WWYNg1eeCH4fs+esHWrqyNPWhE0gLW2PvSkd2ttKXC5byRIRESkfdq7F267DbKzg8PP6NGw\nebPCTwx69XLbI/l17Qo//jG8/bZ7Lx50FIaIiMjBeu01N+qzaVPzvUMPhTvucH9Td4ppfEGA6dPd\nbgFTp7pTQvr1C36/rQ9D7Rk6whOLeD/vIL9bAUhERGLT0ODO8frVr1zdj9+ZZ8L998O3vpW0rqWa\nXbvgwQfhO9+JXCL10Ufu2LS+fSN/vk2nwKy1O40xs4wxPVv7BX7GmKHAuFifIyIikhSvv+5Oay8o\naA4/hxwC8+a5VV4KP1GprXUbYw8Y4Op8brstcrujj245/MRDVFNgvh2f37HWHvTmhr7wNB8ottau\nPPguxodGgEREpFX27HEh5ze/CR71GT7czdGcfHLy+pZCampc2Fm8GL78Mvi9zZvdSNDBSMhp8Nba\nAmNMrjGmGNiC2wRxY0vTWcaYAUAekI/bL6jAt2GiiIhI6nj+ebj+enj11eZ7Xbu6KbCbb3avJSqH\nHOLyYmD4OfZY+OlPoX//xPfnoIugjTGZwGW4PYDSfLfrgPSAZlVACbDYWlsfh37GTCNAIiIStS++\ncPv63HWX25DG77TTYMkSOPXU5PUthf3iF27665RT3FmwU6a4YNQabVoEfRCdSAO3LD7mh7URBSAR\nEYnKU0+5JUiBGxoedpibAvvxj92xFhLRV1+5TbD79oULLgh//+OPoaICzjsPTKuji+OJAJQKFIBE\nRGS/PvkEbrrJLU0KlJfnNjXMzExOv1LA++/D3XfDokWu1mfoULdDQKwhZ38UgKKkACQiIhE1NrrK\n3Dlz3BIlv9694Xe/cwebtuXf5CmsthZuuAGWLXM7BAR65hkYNartvjshRdBRdGIs7vT3Umvt1oD7\nQ4Fe7KdgWkREJGleeglmzoTnngu+P2WKq/858sjk9CtF9OzpjqsIDD8DBriZQq+XScW0VaUxJtMY\nUwMsBwqALQEnwvsPSDW4lWAiIiLe8Pnn8LOfuaXsgeEnKwueeAL+/neFnyh07gw/+pF7nZMDq1bB\nO++4f7Vpafv9aNLFehhqETDXF3QwxqQDU4Fsa+3lvnuZwBZrbVL3BdcUmIiIYC2sWAE/+Qls3958\n/5BD3LL2OXOge/fk9c9jrIU1a+Cee+D0092RFKF27oSqKhgyJLF9S2oNkDFmlrW2MML9LGAWcDNu\nBKjGWpvUsnkFIBGRDu71113wKSkJvp+b6yp4tZNzk7o6eOABF3zefNPd69cPqqu9swjOEzVAoay1\nVcBMY8wsoKItvkNERCQq9fVw663wxz/Cvn3N9486Cv73f+GKK1TkHOCDD+CEE9yS9kDvvQfr17dt\nYXMixTottch3VtgkY0yDMSZoAMw3OpSOGwUSERFJnMZGuO8+OP54t5rLH346dYIbb4Q33oArr1T4\nCXHMMcEFzD17ujqf115rP+EH4rcRYiaQ7q8FivR+so/C0BSYiEgHsmGDW4q0cWPw/Zwct7rL60uU\nEuCtt1y5U79+4e89+CAUFrqceNVVcMQRie/fgSStBsgYM8Ra+1JrvzjRFIBERDqA7dvdae2hmxn2\n6wf/8z9w2WUdesRn1y5YudJte1Re7jLiXXeFt2tsdP+avPyvKpkBKBd34GkaUJLMk96joQAkItKO\n7d7t/ia/7TZ3jpffoYe6pUs33+yOs+igtm93IzoPPOB2avZLT3fvpeLCN0/sBJ0KYUgBSESkHbIW\nli93oz5VVcHvTZoEd97pdubr4N5/35243tjYfK9zZ3de1913u7qfVOOJABT0QLf7s/+k+E3AUi/s\nAq0AJCLSzqxf787u2rAh+P7JJ7vRoNzc5PTLoy64AB5/3AWhqVPh+993h5amKs8FoKCHeygMKQCJ\niLQTW7a4EZ/ly4Pv9+4Nv/61O9qia9fk9C1J6uuhqAj+9CeYPx/OOSe8zQsvuP19xo1zC+FSnacD\nUNAXuZVil+HODNtkrV2SkC9u/n4FIBGRVFZT42p87r4b9u5tvn/IIa6a9+c/h169kte/BGtsdIXM\nf/6z29z666/d/auugr/+NaldS4iUCUBBX2pMmrW2PsHfqQAkIpKKdu92oee229wQRqApU+D22yEz\nMzl9S6K//AWuvTb8fo8e8NFH7b/m2xMByBjTM3RqyxhzPW4TxGXW2m0xf0mMFIBERFJMYyMsXepG\ndqpDtpIbMcItaz/jjOT0zQPq6+Hoo93SdoDBg+EHP3B7O37jG8ntWyIk+yywoUAZrsanDrjeWrvK\nGLMRN9VVA2QC46y1a1r9RXGgACQikiKsdSey/+IX8FLIdnODBsG8eXDJJd7epCYOrHV1O3//u6vr\nOeSQ8DY//rH75/e/D0OHJrZ/yZbsALQUuAOoAgYCBcAOYLm1tszXJh241386fLIoAImIpIB169yJ\n7M8+G3zfX+A8Y0bkJNCOfPSRq+H505/c+a3ganwuvTS5/fKaWANQrHXgJdbaSmttvbW2wlo7Gaj3\nhx8Aa20dUHowDzXGzDXGjI2i3SxjzKXGmJt8o1EiIpKKNm9267RHjgwOP4cd5gLRli1uuKOdh5/b\nboNjj4VZs5rDD7gwJPEV62nw6RB2LMa9EdqlRfMw34aKw4BJQPEB2i4Fbvd/rzGmGBgfZb9FRMQL\ntmyBX/3KzfMEjtJ36QLTp8Mvf+kKXTqIb30LGhqarw8/HCZPdrU9El+xToFlAtOBqcBwa+3WgPfS\ncFNjdwCVgaNCUTy3GJhrrV29nzY7rLUZAdcLcfsMRfyMpsBERDzkww/dcMfixc2ntIOr67nqKrj1\nVsjKSl7/2tBbb8HLL0N+fvh7X3/tNif8zndcXU9+vjcPIvWCWKfAYhoB8p3wXuD7CX2v3hgzDaiI\n90nwvpGikD3PqcMdx9FiaBIRkST7+GNXxLxgQfPyJb8LL4Tf/tb97d/O7NjhNip88EF47jl39tZ5\n57kl64G6d3cnenSg7YySptUByDcFtQUobmmFl7V2RWuffwDpEe7tALLb6PtERCQWn3ziTuO8++7m\nHfv8Ro2CO+5wS9vbGWvhe99zq/kD9278+mtX2BxpHx+Fn8SIZQSoCFgM3GyMsUAFrti5BNjYxkde\n9G7DZ4uISLx89pk7kPSPf4Svvgp+b9gw+M1v3FBIO13Sbozbzigw/HTtCuefDwMHJq9fEtsqsExc\n3U8n4DRgKTAcF4JqjTEvGmPuMMYMjkM/Q9VEuJcR4Z6IiCRDTY3bxycz0015BYafIUPgkUdg40aY\nMKFdhJ9XXoHKysjvfe977p9nnOEGwD78EFatcgNfkjzxqAHCWluBGwEqBDDGLMNNj+XhRogWWmtv\niLGvgeqIPA0WWhckIiKJVFsLv/sd/P738Pnnwe+deirccgtMnNguQs/WrW7x2kMPwauvulX8jz4a\n3i4vD954w63wEu+IJQC1+KfXWptvjLnJWpvt2whxqTHmUmvtyhi+L/D5ZcaY0GmwLGDh/j53yy23\nNL3OyckhJycnHt0REZFPP3XB5+67YWdIBcTJJ7vgc+ml7eIY8m3b3EK1deuC7z/5pCt2zgiZj+jS\nReEnHsrLyykvL4/b81q9DN63Ems2cJm19vMI799krb0z4HqBtXZmlM8OWwbv3+jQWlvpuy4C7gjY\nB+hFa+1p+3mmlsGLiMTbBx+4Gp977w0vbj7pJLd782WXtYvg47d7t9uaKPBc1u7d4aKLXC13BzyX\nNSmSthO0b1+fMqDOGPOwb0fmAb5O9QQGhXyk4kDPNMYMNcbMBXKBecaYmwLevhyYFnA9Dbjc9713\n4PYiEhGRRKiqchsVZmW56a7A8HPiiW5eaPNmt4tfCoafPXvcdFbo4fMA3bq5TNe5sythevBBt7r/\n4YcVflJJzKfBG2PG4aaesgD/w+qA/JARnOuttUti+rIYaARIRCQOXn/dDXM89FDwlsXgipt/+Ut3\nUGkKhp6GBli71v1qy5a5cqYlS+C668LbvvceHHoo9OmT+H6Kk9TDUEM6kok7xqIOtwy+3nc/DajF\nHYga1RRYW1AAEhGJQWUl3H6727wm9H9LzzrLBZ8UXtH18MPwn//pVmgFGjMGVmt7XU9K6k7QgXwr\nwsJ2fPbtCH0zUUyBiYiIx2zY4Pbq+de/wt/LzXVL3XNyUjb4+H3jG+Hh57jjXLazNuV/PYkgbiNA\nXqcRIBGRKDU2whNPwPz58Mwz4e9fcIELPmeemfi+tZK1UFEBL74IM2aEv79vnzuDC1x9z5VXwtln\np+RMXofhmSkwr1MAEhE5gD17XAFMYSH8+9/B7xnjTub8+c9hcFvsbxt/1ro67KIidxTFli0u0Hzw\nQeQD5t96y9V0d4nb3Ii0JQWgKCkAiYi0oL4eFi1yq7m2bw9+r0sXNxwyZ45b3ZVCcnLg6afD7//f\n/8GNNya8OxJnnqkBEhGRFPPBB3DXXbBwYfiuzUccAdOmwU9/Cv36Jad/MTr55OAA1KOH24R66NDk\n9Um8QyNAIiIdzWuvuc0L//a34FM6wc0N/eQnrlAmPdKJQ97x1ltuUdrAgW67oVDPPOMOHb3oIvf+\nuee6pevSPmgKLEoKQCLSoVnrEkFhITz+ePj7J54Is2a5Mx66dUt8/6JgrStNWr7cBZ9XXnH3R4xw\n+/eEamx0uzZ3757YfkpiKABFSQFIRDqk3btdFfDvfx/5uPKRI2H2bDdU4vElT5s2QXZ25PfefTdl\nZ+qklVQDJCIi4T75xNX23HOPO6chkDGuGGbWLLfRjce0tO/O0KFwzDGudAncdNZ558GkSdA79Hhs\nkQNQABIRaU82b3ajPQ895EZ/AnXvDldf7bY8PuGE5PSvBY2Nbs/F5cth5UooLw8/V6tTJ9f9LVtc\n6Pnud12ttkhraApMRCTVNTa6up7f/z7yuQ3HHAM//CFMnQoZGYnv3348/7w7THTlyuCdmO+8E/7r\nv5LXL/E+TYGJiHRUn38O998Pf/gDvPNO+Punnw4/+5kbLunaNeHdi8aKFXD33eH3n3pKAUjalkaA\nRERSzdtvw4IFcN99sHNn8HudO7vA89Ofeqa+56uv3Onp3/pW+HsvvABnnOFe9+njDpKfNMkdQurR\nzCYeoVVgUVIAEpGU1tDgzuf6v/9zwyOh0tPdxoU33uhO8UyyHTvgscdg1SooLnYlRy+9FN7OWne6\nxrnnugVpOoZCoqUAFCUFIBFJSTt2wJ/+5FZzbd0a/v4JJ7iNC6+5Bg4/POHdC7Vzp1tg9swzLrMF\nqqoKL2wWaS3VAImItEebNrnRnocfhl27gt8zxu3bc+ONMH68p/bv6dED3n8/PPycdJI7ZkwBSLxC\nAUhExCt274Zly1zwef758Pd794brroOZM5OWJBobXd3OqlVw7bXw7W8Hv2+Mq+OZPx/OPNO9njjR\nc6vuRTQFJiKSdFu3wuLF7ufTT8PfHzbMLWOfMiUp5zrs2QNr1sA//gGPPNK8XP3WW+FXvwpv/+GH\nrranb9/E9lM6FtUARUkBSEQ8Zd8+VyV8772uqDn0f58OOcSd4HnjjW6ZVKStkRPk9tvhF78Ivz90\nKFRUJL4/IqAAFDUFIBHxhG3b3PL1++5zRTGh+vVzJ7Fffz0ceWRCu/bVV3DYYeH3X30VvvOd5us+\nfdwJ65dc4nZjTmI2kw5MAShKCkAikjT79rmdmhctckvZQ/+3yBhXzDx9Olx4YcLWglvrTs745z/d\nT22t22IoNNBY67r3ne+40HP22W67IZFkUgCKkgKQiCTcu+82j/b4T/AMdNRR8IMfuCMqEljU3NDg\n9kn85z9dFwO9+iqcfHLCuiLSaloGLyLiJfv2uVGee+91/2xsDG+Tl+dGey66KCnbHXfuDOvXh4ef\nLl2gslIBSDoGBSARkXh49123YeF997mNcEIdeWTzaE9WVpt355133AhPbi4MHhz+/kUXuQLmtDRX\nx3PRRXDeeW5DaZGOQFNgIiKttWuXWxf+pz9BSUl4bQ/AuHHNoz2HHNJmXWlogOeeg0cfdcHn9dfd\n/dmzYd688PZbt7qdmUeN0plbkppUAxQlBSARiZvKShd6/vY3Vzkcqk8fN9pz/fUwaFBCunTPPW7F\nfKgTT2wOQyLtiWqAREQSoaYGHnrIBZ/KyvD3jXG1Pddd57Y+bqPRnrq6yNNUEyYEX3fv7rpz0UWu\nDMlDp2WIeIJGgEREWtLQAGVlLvSsWuW2RA41YIAb7bnmmjY5hX3fPlew/Pjj7ufTT91Oy5ECTV6e\n685FF7nan0h7+oi0F5oCi5ICkIhEraoK7r/f/bz3Xvj7hx4Kkya54JOT0ybDK9bC1Ve7zaLr6oLf\ne/55OP30uH+lSErRFJiISDx88YUb5bn/fli9OnKb005zoWfKlDZfLmWMW1gWGn66dYM33lAAEomV\nApCIdFwNDVBeDg88ACtWwJdfhrfJyIDvfc8Fn8DzIGL01VcuZz32mMtTOTnhbc4/H555Bo45xr2+\n4AIYOxYOPzxu3RDpsBSARKTj+fe/4cEH4a9/jbxnT6dOblOcH/zAHU0Rp4Lm7dvdieqPPeZOV9+1\nq/nrIgWgq6+Gc8+FU0/VeVsi8aYaIBHpGD79FB5+2I32bNwYuc23v+2Kmf/jP9ywS5z9+c8uU4U6\n7ji3L49Cjkj0VAMkItKS3bvdzoAPPOCOpdi3L7zNN74BV17phluGDYs5hXz2mRtgOuec8PdCl6qf\ndFLz1JaIJJZGgESkfbHWbYn8wANuxCe0ihjclNbFF7vanvPOi2kr5IYGN6D0xBPu58UXoUcPF4Qi\nPfYnP4Hjj3fBJ4Hnn4q0O1oGHyUFIJF27vXX3UaFDz3klrFHMmKEG+nJz4devWL+yoYGF2IirZQv\nL4fRo2P+ChFpgabARKTjev99N8rzt7/BSy9FbpOZ6ULPf/xHq4+laGhwuymHjuh07gynnBIcgDp1\ngrPOcp8REe9SABKR1FJTA8uXu5GeZ56JfABpWhpMnuyCz4gRrarr+fhjePJJN61VXAwLFsDll4e3\nmzDBnYwxYYKbTcvLi8vgkoi0MU2BiYj3ffWVK2Z+6CGXSPbuDW/TrZtbsn7llS6NHHpoq75q1Sr4\nzW+goiL4/jXXuD0SQ+3Z40aGtIJLJLE0BSYi7dPevVBa6kLPqlWRNyns1MkdenXllXDJJW7kJ0b7\n9oWHH4DNmyO3b6MzT0WkjWkESES8o6EB1q6FpUth2TK3d08kp58OV13lprmOPjrqx+/d6xaIPfmk\nO/nirrvC29TVuZXx4GbPJkxwP9qMUMRbtAosSgpAIh7V2AgbNkBRkavt+fDDyO2+9S0Xeq644qCK\nmXftclNXTz3ljp7YudPd79bNlRNFOjF9zRq3JVAcBpREpI0oAEVJAUjEQ6x1R5r7R3oiHUcB0Lev\nCzxXXQVDhrRqCGbfPjeiU18f/t7jj8N3v3vQjxQRD1ANkIikBmth0yY30rNsGWzbFrldnz5w2WVu\nemvUKLfWfD8aG90qrKeegmuvdZkpUJcuMG6cO+sUoF8/d77WhAnu8SLSMXkyABljZgFbgCygzFpb\n2UK7qb6XS4EMYKq1dk5ieikiB2QtvPyyCz1Ll7a8QWFGBlx6qVtnPnq0Sy378dFHLvAUF0NJSXOp\n0NFHRz5r6/rrXdg591w3k6ZaHhHx3BSYMWYpcLu19iXfdbG1dnwLbWcB8wALVAD51tqtLbTVFJhI\nIlgLr77qAk9REbz9duR26eku9EyeDGPHHtRxFD/5CfzhD+H3J092Xyki7V97nALLtdZODriuMsaM\ntdaujtC2FkgHsNbuTEjvRCSctW6d+IoVrpD59dcjt+vZEyZOdCM948a1uIbcWnjjDfj8c7fgK9T4\n8cEBqE8ftwHhJZfE4XcRkQ7BUwHIGJMLhI6R1wF5QKQAZBR8RJLEWnfy54oV7mfLlsjtjjjCHTw6\nebKbg+rWLWKz2lq37U9xsZveeu89GDkSnn02vG1Ojtv+JzfXPXLIELclkIhItDwVgPCN5oTYAWS3\n9AFjzKWAATLZT72QiMRBQwOsX+8Cz8qVkU8BBbe2/MIL3UjPeedB9+77feybb8JJJ7mC5kAbNrhl\n6z17Bt8//HAXlkREWstrAaj3QbYvChwBMsa8Y4wZplEhkTjauxeeftqFnlWr3CFZkfToARdcAJMm\nudBz+OFBb/untU48MbwI+fjj3VL1Tz5pvtezpxvhqa0ND0AiIrHyWgCqiXAvo6XGEYJOFTAZWBLP\nTol0OLt3u+VVK1fCI4+4HQMj6dXLTW9NmuRqekLO3/rwQzdSU1Li/vnhh/DWWy7wBOrUyS1Lf+MN\nV99z7rlwxhkHXAwmItJqXvuflzoiT4OFrZ01xmQCm6y1gaNGdcDAlh5+yy23NL3OyckhJyentf0U\naX+++sodNLpiBTz2mKtAjuTII1218aRJrhinhdVbU6ZEXpFVUhIegAD+9CfV8YhIy8rLyykvL4/b\n8zwVgKy1ZcaY0GmwLGBhCx+ZHXKdjts/KKLAACQiwGefubDzyCOu8vjrryO3O/ZYt2R90iR3QJZv\nc8J9++Drz93sV6j+/cPvpae7M7giUfgRkf0JHbi49dZbY3qepwKQT6kxZoh/HyAg078E3hgzFMBa\nW2mtrTbGNI0W+V5nWms1/SWyP1VVLvA88ohbYhVaeeyXleUCz6RJcNpp0KkT1rptffzTWmvWwMyZ\ncMcd4R/Py4Pf/c7lpbw8N0M2fPgBN3YWEUkIL26EmAYUAC8Cp+EKnf2bIs4F0qy1MwPaTvN9NAuY\np40QRUJY686K+Mc/XOjZvLnltt/+dnPoGTw4qFp59Wr4/vfh3XeDP5Kd7VbDh9q7F/bsCauFFhGJ\nCx2GGiUFIOlQ9u6FZ55xgecf/2h5uboxcNZZbnPCiy+GE06goSHyKM2bb7oVXKGOO869F1L/LCLS\nphSAoqQAJO3eF1+4Op5//MPV9dTVRW7XrZubj5o4ES68kL29j+KFF9wIT1mZmyHbti18qbq1rq6n\nrg7GjHGPyMvT2VoikhwKQFFSAJJ2aft2ePxxN9JTWuqWr0eSnu726Jk40a0xP+IIrHWXZWXw5ZfB\nzV95BU45JfwxW7a4EZ+DOLZLRKRNtMezwESkJY2NUFHhRngeeww2bWq5bb9+MHEi9uKJ2JGj6NQt\nOLUY4xaBhYYfgI0bIweggS1uMiEikloUgES87ssv3TDNo4+60Z4PP2y57amnwsSJvH9WPmUfnczq\nNYbV18KCBW4AKFRurjvZon//5rO1xoyBb36zzX4bERFP0BSYiBe9917zKM/q1bBrV+R2XbrA6NEu\n3Vx8MX8uz+SOO9xS9UA/+xn87/+Gf3z7dvfozEzV8YhIatEUmEh70Njo1pL7Q89LL7XcNiMDO+G7\nmIsudOdGpKU1P2Z1ePgBeP75yI/q2zfGfouIpCgFIJFk+eILt5ugf2or8CTQELu/PYQNQ2ayutsE\nyt48ln57DQ/nh7cbO9b989BD3QaE/mmtYcPa6HcQEUlRmgITSaQtW9x5W4895rZR3rMncruuXSEn\nh3dHXMF1JZezdtNhQbNgvXrBp59G3q9n7Vq3OaH25RGR9kzL4KOkACRJsWuX25DwX/9yweettyI2\na8TQqc834PzzXT3P+PHQowdff+1WsEfKSa++Cief3Mb9FxHxKNUAiXhNdbULO0884QqYv/oqrEkD\nnXiZwZQffQVrjriQtR8P4p1XDRlHBg/pdO8OZ58N5eXuBPWxY92UVk4O9OmTmF9HRKQ90giQSKx2\n73aHij7xhBvpeeONltt2784NfZbx909zqfs6eI5q5Uq45JLwj2ze7EaBjjsuzv0WEUlhGgESSYZt\n25pHeSJspdyIYS9d6cYeN3QzYQJ897twzjl8NbM7dX8Jf+QLL0QOQKee2ka/g4hIB6YAJBKNPXtc\ndbF/lOff/w562wL/5iTKyWFNp3E83Xksc87fzH8WfhMGDQpqO2YM/OUvcPTRbiprzBj3z+OPT9hv\nI0S/dG0AAA7BSURBVCLS4WkKTKQl1dXucNGnnnLnbH3xRcRmy5nEDZ3u5dPGjKD7F14I//xnePu6\nOvjoIx0iKiISC02BicTL55+7amN/6Hnnnaa3LFBLL3pT62506+aGbSZM4Kg+l/LpVRlhj3v9dXeC\nemjISU93PyIikjwaAZKOq7ERKitd2Ckudodi7d0LuMBTRRZrGMMaxlBODr27fsEr0/7o6nnGjIHD\nDgNcDXR6urscPdq9NWYMnHQSdOqUxN9PRKQd0z5AUVIAEsAdJFpc7H5KStxugiF20oOTeY336Rf2\n3iefRF5+XlUFAwYo8IiIJIqmwET2Z9cuV7zsn9Z65RXArdJ6lVM4iRq60NDcfvBgep57Lt3+mgHb\ngx+VlgZvvhk5AGVlteHvICIicacAJO2Lta74prjYBZ6nn4avv27aePBpfsrTjOZZRlFDBs+nn8vp\n5/eBc8+FvDy3NAsY/Rl8sgxGjWqe0hoyJPLREyIikno0BSapb/t2txdPaan72b49rMlEVvEIE8Pu\nz5/XyKzZ4fNWtbXQowd00f9FEBHxJE2BScezc6cb2fEHnn//m90cwgucTi96cUro3NUJJ3Ba7848\n8lzw7T59oKExctFOr15t1HcREfEEBSDxvj174PnnmwPP88/zdUNXNnAWz5DP04zmOc5kF92ZzkIW\nphW4Q7POPdcdKpqZyei10Pdyt0rrnHPcP088UfvwiIh0VJoCE++x1h117g88Tz8ddtTEw1zOFTwc\n9tFvD/iaf7/dNWzuyv+fXoFHRKR90BSYtA/vvhtUx1P3yW7WMpLtHMM0vgxrfs4pNfBq8L1Bg2BE\nTncaDITWKiv4iIhIII0ASXLU1rpdl32BZ+9bVaziEp5lFM8yis2ciqUTh/MFtfSia2Y/GDfO/YwZ\nA336cP757oR0/7RW377J/qVERCRRtBFilBSAkuzzz+HZZ2H1alizxu3AHPDfo4FO9KKWz+kZ9tHn\nVnzAGZcek8jeioiIx2kKTLzpq69g3TpYs4aGsnJe3riXZxvP5llG8TuK6EdwGO186CGcffhbPLUj\nG4BOnSxDhxpGj4be31H4ERGR+NIIkMTHrl3w3HNudGf1anj+ef609z9YymTWc3bQyM5fuYqrOj0M\nw4e7zQfHjYOzzuJvKw7l9dfd5oNnnQU9wweDREREAE2BRU0BKM727IEXX4Q1a7Cr12A2rHchKMCN\n/B/3cGPYR6eft42FD6e7syVERERaQVNgkhj79kFFBaxZw/YnXmbtc114dvdpPMsF5PM1v2B12EdG\nHbuVe953r/se3cio0Z0YNQpyc/uDso+IiCSRRoAksoYG2LzZTWmtWQPPPEPxzjOYyQKqGBjUdBwl\nlDAeTjih+eCsnBw+7XQU//qXm9LKzNRSdBERiR9NgUVJAegA9u6Fykoa1jzDB8WvcdymVVBfH9Rk\nE8PIZlPYR3t230PNG5/S+TgVK4uISGIoAEVJASiEr4bnq5J1vPD4p6x7+Qie3XsG6zmb3tSwlcyw\nj+zrexy9PnmDfaYrZwzbx6i8Qxk1Cs48UwXLIiKSWApAUerwAejrr915Wk8/Dc88Axs28OXXhgx2\nsJtDw5q/Sz/6fbPB7TA4dqyb1ho0iH+/bhg4ELp1S8LvICIi4qMAFKUOF4C+/JLGtet5fdUbrCvb\nxVXbbufwvXVhzU7lZV7h1KB7fdO/pOieGkZOOVaFOyIi4klaBSbOzp2wbh3P/72K1eWdWPt+fzbY\nM6klD4Dj+RdjKA/+zMCBjOr6GQ076xg5ujMjzuvBqFEwYMDhGHN44n8HERGRBFEASlW1te5oiaef\ndj+VldDYyHyWs5JJYc3XMYIxJ37kprT8h2cdeyx/bIROnZLQfxERkSRSAEoRdtu7vLF0M+ser2Pd\ny0fw3bq/kc/ysHYjWBcUgPp0/5wRp+zkpBk3wQ9+E9Ze4UdERDoiBSAvamyE116DtWt5esVn/M+6\nM1m/ayg7uKCpSQM7gwOQMTBkCONOOprrPt7KiIu+wcjzjmDQoB4Y0yMJv4SIiIh3qQjaC3bvZve6\njXR74VlYu9YdIlrnCpYf43wu5LGwj2SxhS2nX+mms0aPhhEjID090T0XERFJCq0Ci5KXApCtrePN\npS+z4Z+fsm7Toaz95Hh62Ro2cHZY2xp6kUENABld6xmR9REjzunMiMnHcHZudy3SEhGRDkkBKEpJ\nDUDvv+8Klteu5cPVr3PKG8uoISOoSVf2UE8a3fEdKHrUUTByJIwaxdKvL2TwhcdxwkldFHhERETQ\nMnjPsQ2NbCt7h+eWvsvkr/9Cp3XPwrZtTe8fDXSiMeJnX7+ogGETj3OHZw0c2LQHz+REdFxERKQD\n0QhQrL74ghf+8jrPPlrH+pe6s/6TQXxkjwbgdU7kRN4M+8hF/JP1XUZxVr8POPtsy8j8vmSP7033\n7vHvnoiISHvULkeAjDGzgC1AFlBmra2MR9uYWetGc9avb/55+WV+1vgM630bDgZaz9kuAB12GJx1\nlpvSGjmSB799Jj37HoExKloWERFJBs8FIGPMUuB2a+1LvutiYHysbVtj35e72bz8TdY/8hnrN3bl\nui//SG7NsrB2Z7GB9Yxouu5pdnJmny1844KLYcZMGDIEunZtej8tXh0UERGRVvFcAAJyrbWBZS9V\nxpix1trVMbY9sI8/hg0bWHn/Tv645hRe2Pktvgo4J+s41pFLSAAyhvMGvMVnXTdw1tmGs/OP4aTx\nx9K5y1BgaKu6ISIiIm3LUwHIGJMLVIXcrgPy+P/t3cFvHFcdwPHvL62UE7aTIiQUhGqHHpCQiNNE\naQyHkBgQ16QliAMSIjjKnYq2/4Bdwp0E8Q+kVcWZpC2RkIKKIwpSDwglKRLihJyGcgT64zCz6Wa9\n9u7sznrHO9+PNJJnPBu/fS/zm9/Me/MG3h11334++c//+Nd7f+HQB7/7tDvr/n0AtrjEbX6w7TN3\nWIG5OXjhBVhZKZZTp1idm2N12C8pAG7fvs2ZM2emXQx1sU2axfZoHttktjQqAQL6DYrZAk6MuS8A\nt9bvcuc3/+bOB5/hva0v8Q3+yq+5sm2/Fe48/vmLT/+DlS/8nZVT/+Xr5z8PFx7CU08N/CLanYGk\neWyTZrE9msc2mS1NS4AOT2hfAL712pO50e85TQKPh5AfPAgnT/Ll01/jzfgDp7+/xJGvHgGOVP1T\nkiSpwZqWAD3ss+2ZPtuq7tvfgQP88zs/5HNnv1J0Zy0vw8GDHABerPQPSZKk/aRR8wCV43quZeZz\nXds2gMzMV0fdt/xdc76oJEka28zMA5SZ70REb9fWEnBtnH3L/X2JhCRJAuDAtAvQx9sRcaxrfbHz\nWHtELEfE8jD7SpIk7aRRXWAAETEPvAJsAieBG10THW4A85l5ZdC+krYbZeb0srt5ITPfmnT5JKlb\ned6/OejmxkixrWkJ0Dga+wqNlhq2jstEdq1cPQFs2B716zdzemYOnDk9Iu5SjLf71aTL2DYVY9Yi\nxfMZjygS0qt7U8r2GCFmfUQxJcv7mfnOnhW0BcoLr+MU9Xx5twRo1NhGZs7EArwBHOtav1nHvi57\n0h7Xun5epHjC79lpf4dZW4Ct3noHzg74zDngBnBp2uWftaXiMbIIvNG1vjmo7Vwm2h4v96xvAHPT\n/g6zuAA3h4hTlWNbZjZyDNCozuWT3V8PIuJsDftqNEPVcXlVe7+znpkfUszw7UwENRowc/puFiiu\nclW/KnHoOvCLns863rFeVdqj97jp3DXSHhsjts1GAlSlAsapLA2nYh0vUFw9dXtI1TmdNMhOM6fv\nGLQj4kI67mciKsaseYqT82872zLz48mWsF1GOC8cLsemdKym40+npXJs62jUY/BjmOgrNFTZ0HWc\nme9HxPM9m08A65MoWItVmjm9POl652dyqsShJeBReTfiEEV3mGNO6lX1vHAJeDciVim6iH86qYJp\noMpvheiYiTtATPgVGqqsUh13XzlFxBqw2X21q1pUnTn9u3axTFSVY6RzJfswM9/KzJ8Dr0fEs7WX\nqr1GiVnXgaS4g310EoXSUEZ+K8SsJEB7+woNDTJSHUfEAnAhM79df5Fa7xH9r3J7b/t3xmVtTrxE\n7VblGHkET14oAHeBy3UXqsUqxayIuAZcz8yTwFXgZs+cdNo7Q8e2XrPSBValAkauLA1t1DreAF6q\nvzjKajOnHwcWy9v7QdENcCgiSB+Fr0uVY2SnOOag2/pUuUBYBu5l5t8AMvOViLhHkZBemWQhtV3F\n2PaEmbgDVPaF96uAW+Psq9GMUsfl/BsbncGdPTN+qx5DzbLe6WYpl6sUJ4FbJj/1qRizPmT7yXkB\nL9pqUzFmLbG97t+cRLnUX11vhZiJBKjkKzSaZej2iIgLwB+BjyJiPiKOA70DozW+NeBiRJyPiHXg\nx12/u8ink1E+Viam54DLEXF+b4rZGlVi1s/KJ5U6nqcYg6L6DNseb1McL91WsT1qVdb5BkX8eT0i\nftL16954tVts2/lvlJMG7Xu+QqNZhm2PrnmAOv8Ro/z5myalmmVVYla5bZ3iWDmKMat2Fc8hx4Dv\nAffKjz8wXu0/M5MASZIkDWuWusAkSZKGYgIkSZJaxwRIkiS1jgmQJElqHRMgSZLUOiZAkiSpdUyA\nJElS65gASZKk1jEBkiRJrWMCJEmSWscESJIktY4JkCRJah0TIEmS1DomQJJmQkSsRsS9iNiKiLPl\ntuWIOD/tsklqnsjMaZdBksYSEfPAL4EbwGHgKBDAYmZenGbZJDWTCZCkfS8i5jLz4671RWDD5EfS\nTkyAJM2UiFgC1k1+JO3m6WkXQJLqEhHLwJrJj6RBTIAkzYSIOAe8mJlXpl0WSc3nU2CS9r2IWAVW\ne5OfiNiYUpEkNZxjgCTtaxFxnOLpr+vAZ4FN4BlgDbiUmX+aYvEkNZRdYJL2u5cy8zmAiHiZ4nH4\nB8CPMvPPUy2ZpMbyDpAkSWodxwBJkqTWMQGSJEmtYwIkSZJaxwRIkiS1jgmQJElqHRMgSZLUOiZA\nkiSpdUyAJElS65gASZKk1jEBkiRJrfN/OwIjhOHA/9AAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f9ebf3eeb70>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"figsize(xfig_meret,yfig_meret)\n",
"plot(zlist,g3p2,label='$g_{3/2}(z)$',lw=3,color='red'),\n",
"plot(zlist,g5p2,label='$g_{5/2}(z)$',lw=3,color='blue',ls='--')\n",
"legend(loc='upper left',fontsize=legend_meret)\n",
"\n",
"xlabel('$z$',fontsize=xylabel_meret)\n",
"ylabel('$g_{3/2}(z), g_{5/2}(z)$',fontsize=xylabel_meret);\n",
"xticks(fontsize=xyticks_meret)\n",
"yticks(fontsize=xyticks_meret);\n",
"\n",
"savefig('Fig_Bose_gas/fig_Bose-gaz_10.eps',pad_inches=0.0,bbox_inches='tight'); # Abra kimentese"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"### Az alábbiakban az $N$ részecskeszám rögzített."
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [],
"source": [
"Npoint =100\n",
"Tlist_down=linspace(0.0,1,Npoint) #mintavételezési pontok legyártása\n",
"\n",
"pV_down=[] # p-T gorbehez\n",
"mu_down=[]\n",
"Elist_down=[]\n",
"Slist_down=[]\n",
"cV_down=[]\n",
"kappa_S_down=[]\n",
"vhang_down=[]\n",
"cV_deriv_down=[]\n",
"\n",
"for i in range(0,len(Tlist_down)):\n",
" \n",
" mu_down.append(0)\n",
" \n",
" zeta3p2=float(mpmath.polylog(1.5,1))\n",
" zeta5p2=float(mpmath.polylog(2.5,1))\n",
" tmp1=zeta5p2/zeta3p2\n",
" \n",
" Elist_down.append(3/2*(Tlist_down[i])**(5/2)*tmp1) # energia\n",
" pV_down.append((Tlist_down[i])**(5/2)*tmp1) # pV = 2/3 E \n",
" \n",
" Slist_down.append(5/2*(Tlist_down[i])**(3/2)*tmp1) # entropia\n",
" cV_down.append(15/4*Tlist_down[i]**(3/2)*tmp1)\n",
" kappa_S_down.append(3/5*(Tlist_down[i]+0.00001)**(-5/2)/tmp1)\n",
" vhang_down.append(sqrt(5/3*tmp1*(Tlist_down[i])**(5/2)))\n",
" cV_deriv_down.append(45/8*tmp1*(Tlist_down[i])**(1/2))\n",
" "
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [],
"source": [
"Npoint =100\n",
"zmin=0.3\n",
"zlist=linspace(zmin,1,Npoint) #mintavételezési pontok legyártása\n",
"\n",
"Tlist_up=[]\n",
"\n",
"pV_up=[]\n",
"mu_up=[]\n",
"mu_approx=[]\n",
"Elist_up=[]\n",
"Slist_up =[]\n",
"cV_up=[]\n",
"cp_up=[]\n",
"kappa_S_up=[]\n",
"kappa_T_up=[]\n",
"alpha_up=[]\n",
"cp_cV_up=[]\n",
"vhang_up=[]\n",
"cV_deriv_up=[]\n",
"\n",
"epsi=0.0000000000001\n",
"\n",
"for i in range(0,len(zlist)):\n",
" z=zlist[i]\n",
" \n",
" zeta3p2=float(mpmath.polylog(1.5,1))\n",
" poly3p2=float(mpmath.polylog(1.5,z))\n",
" poly5p2=float(mpmath.polylog(2.5,z))\n",
" poly1p2=float(mpmath.polylog(0.5,z-epsi)) # z=1-nel ROSSZ erteket ad a polylog!!! \n",
" # Itt a vegtelen ertek a helyes. \n",
" # A hiba kijavitasa miatt irunk 'z-0.0000001'. \n",
" polym1p2=float(mpmath.polylog(-0.5,z-epsi))\n",
" \n",
" tmp1=(zeta3p2/poly3p2)**(2/3) \n",
" Tlist_up.append(tmp1) # homerseklet\n",
" \n",
" mu_up.append(tmp1 * log(z)) # kemiai potencial\n",
" mu_approx.append(-(3*zeta3p2/4/sqrt(pi))**2*(tmp1-1)**2)\n",
" \n",
" tmp2=3/2*tmp1*poly5p2/poly3p2 # energia\n",
" Elist_up.append(tmp2)\n",
" \n",
" pV_up.append(tmp1*poly5p2/poly3p2) # pV = 2/3 E\n",
" \n",
" Slist_up.append(5/2*poly5p2/poly3p2-log(z)) # entropia\n",
" cV_up.append(15/4*poly5p2/poly3p2-9/4*poly3p2/poly1p2) # c_V fajfo\n",
" cp_up.append(25/4*poly5p2**2*poly1p2/(poly3p2)**3-15/4*poly5p2/poly3p2) # c_p fajho\n",
" kappa_S_up.append(3/5*poly3p2/poly5p2/tmp1) \n",
" # kappa_S kompreszibilitas\n",
" kappa_T_up.append(poly1p2/poly3p2/tmp1) \n",
" # kappa_T kompreszibilitas\n",
" alpha_up.append((5/2*poly5p2*poly1p2/(poly3p2)**2-3/2)/tmp1) \n",
" # alpha_T hotagulasi egyutthato \n",
" cp_cV_up.append(5/3*poly5p2*poly1p2/(poly3p2)**2) \n",
" # alpha_T hotagulasi egyutthato \n",
" vhang_up.append(sqrt(5/3*poly5p2/poly3p2*tmp1)) \n",
" # v_hang hangsebesseg \n",
" cV_deriv_up.append((45/8*poly5p2/poly3p2-9/4*poly3p2/poly1p2 \n",
" -27/8*(poly3p2)**2 *polym1p2/(poly1p2)**3)/tmp1)\n",
" # c_V derivaltja T-szerint fajho\n",
" \n",
" \n",
" #print((zlist[i],tmp1,tmp2)) \n",
" "
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [],
"source": [
"Tlist_egybe=concatenate((Tlist_down,Tlist_up[::-1])) # Tlist_egybe\n",
"Eklassz=[x*1.5 for x in Tlist_egybe] # Eklassz\n",
"CVklassz=[1.5 for x in Tlist_egybe] # C_V_klassz\n",
"Cpklassz=[2.5 for x in Tlist_egybe] # C_p_klassz"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"## A kémiai potenciál hőmérsékletfüggése:\n",
"\n",
"\\begin{align}\n",
"& \\frac{\\mu}{k_{\\mathrm{B}}T_{c}} =\\frac{T}{T_{c}}\\,\\ln(z), \\label{eq:mu_def} \\\\\n",
"& \\mu_{\\mathrm{k\\ddot {o}z}} \\approx -{\\left(\\frac{3\\,\\zeta(\\frac{3}{2})}{4\\,\\sqrt{\\pi}}\\right)}^2\n",
"{\\left(\\frac{T}{T_c}-1\\right)}^2, \\; \\mathrm{ha} \\; T>T_c. \\label{eq:mu-koz_def}\n",
"\\end{align}"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true,
"deletable": true,
"editable": true
},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"data": {
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IiUhI0dN2IgGmmqfI8Nlnn7F9+3avuTodJHww7drBypV2V/KK3zs//AApKXDn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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f9ebe3c1128>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"nslice=50 # \n",
"muapprox1=mu_approx[-nslice:] # az lista utolso 'nslice' darab tagjat tartja meg\n",
"Tapprox1=Tlist_up[-nslice:] # az lista utolso 'nslice' darab tagjat tartja meg\n",
"\n",
"muapprox =muapprox1[0::5]\n",
"Tapprox = Tapprox1[0::5]\n",
"\n",
"figsize(xfig_meret,yfig_meret)\n",
"legend_meret1=0.8*legend_meret\n",
"\n",
"plot(Tlist_up,mu_up,label='$\\mu, \\,\\, T>T_c$',lw=3,color='red')\n",
"\n",
"plot(Tlist_down,mu_down,label='$\\mu, \\,\\, T<T_c$',lw=3,color='blue',ls='--')\n",
"\n",
"plot(Tapprox,muapprox,label='$\\mu_{k\\ddot {o}z}, \\,\\, T>T_c$',lw=1,ls='-',marker='o',color='k',markersize=5)\n",
"\n",
"legend(loc='upper right',fontsize=legend_meret1)\n",
"\n",
"annotate(r'$\\mu_{k\\ddot {o}z}$'\n",
" ,xy=(1.9,-1.2), xytext=(1.2, -2.5), arrowprops=dict(color='green',width=.5),fontsize=legend_meret)\n",
"\n",
"axhline(y=0.0, xmin=0, xmax = 4, linewidth=0.6, ls='dashed', color='k')\n",
"axvline(x=1.0, ymin=0.0, ymax = 20, linewidth=2, ls='dotted', color='k')\n",
"\n",
"xlabel('${T}/{T_c}$',fontsize=xylabel_meret)\n",
"ylabel(r'$\\frac{\\mu(T)}{k_B T_c}$',fontsize=xylabel_meret,rotation ='horizontal') # Kell a 'r' az elejen!!!!\n",
"xticks(fontsize=xyticks_meret)\n",
"yticks(fontsize=xyticks_meret);\n",
"\n",
"ylim(-5,.5)\n",
"ax = gca()\n",
"ax.yaxis.set_label_coords(-.1, 0.53); # ylabel position \n",
"\n",
"savefig('Fig_Bose_gas/fig_Bose-gaz_15.eps',pad_inches=0.0,bbox_inches='tight'); # Abra kimentese"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"## Az energia hőmérsékletfüggése:\n",
"\n",
"\n",
"\\begin{equation}\n",
"\\label{eq:E_T}\n",
"E(T)=\\begin{cases}\n",
"\\frac{3}{2}\\, Nk_{\\mathrm{B}}T_{c}\\left(\\frac{T}{T_{c}}\\right)\\, \\frac{g_{5/2}(z)}{g_{3/2}(z)}, &T>T_c\\\\[2ex]\n",
"\\frac{3}{2}\\, Nk_{\\mathrm{B}}T_{c}\n",
"\\left(\\frac{T}{T_{c}}\\right)^{{\\scriptscriptstyle 5/2}}\\, \\frac{\\zeta(5/2)}{\\zeta(3/2)}, &T<T_c .\n",
"\\end{cases}\n",
"\\end{equation}\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"data": {
"image/png": 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HHwemZ9Plsvukxo+3G9NzdOoEr78OFSue+WvDgCpVIgFijFFCJSJeWbJkCf/617/cj4cM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\nGjRowOeff87//d/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/HaSkKrzo7L/gs3HjRk6ePMnNN98MwPfff8+dd97Jtm3bgmPL79gx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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f9ebe31cf98>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"figsize(xfig_meret,yfig_meret)\n",
"\n",
"plot(Tlist_up,Elist_up,label='$E, \\,\\, T>T_c$',lw=3,color='red')\n",
"\n",
"plot(Tlist_down,Elist_down,label='$E, \\,\\, T<T_c$',lw=3,color='blue',ls='--')\n",
"plot(Tlist_egybe,Eklassz,color='black',lw=3,linestyle='dotted',label=r'$E_{\\mathrm{klassz}}$')\n",
"\n",
"legend(loc='lower right',fontsize=legend_meret);\n",
"\n",
"axvline(x=1.0, linewidth=2, ls='dotted', color='k')\n",
"\n",
"xlabel('${T}/{T_c}$',fontsize=xylabel_meret)\n",
"ylabel(r'$\\frac{E}{N k_B T_c}$',fontsize=xylabel_meret,rotation ='horizontal') # Kell a 'r' az elejen!!!!\n",
"xticks(fontsize=xyticks_meret)\n",
"yticks(fontsize=xyticks_meret);\n",
"\n",
"ax = gca()\n",
"ax.yaxis.set_label_coords(-.1, 0.65); # ylabel position \n",
"#title(r'$E(T)$ ', fontsize=20)\n",
"\n",
"savefig('Fig_Bose_gas/fig_Bose-gaz_20.eps',pad_inches=0.0,bbox_inches='tight'); # Abra kimentese"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"## Izotermák:\n",
"\n",
"\\begin{equation}\n",
"\\label{eq:p_V}\n",
"p(V)= \n",
"\\begin{cases}\n",
"\\frac{Nk_{\\mathrm{B}}T}{V}\\, \\frac{g_{5/2}(z)}{g_{3/2}(z)}, & V>V_c\\\\[2ex]\n",
"p_0 = \\frac{k_{\\mathrm{B}}T}{\\lambda_T^3}\\, \\zeta(5/2),\\, & V<V_c ,\n",
"\\end{cases}\n",
"\\end{equation}\n",
"ahol "
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"\\begin{align}\n",
"\\label{eq:lambda_def}\n",
"\\lambda_T &= \\frac{h}{\\sqrt{2\\pi m k_{\\mathrm{B}}T}}, \\,\\,\\, \\,\\,\\, \\frac{V_c}{N} = \\frac{\\lambda_T^3}{\\zeta(5/2)} \n",
"\\end{align}\n",
"a termikus de Broigle-hullámhossz és a kritikus térfogat. \n",
"\n",
"Ha $V<V_c$, akkor $p$ nem függ $V$-től, ekkor $p_0 \\sim T^{5/2}$.\n",
"\n",
"Adiabata egyenlete: $p_0 V_c^{5/3}$ = állandó"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"data": {
"image/png": 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79uwJuLZs2TKqqqrGHJfJZCInJ4fKykrMZjNLliwhKSnJe2wymcjIyAgaXzjF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\nSUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f9ebe2f3390>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"Npoint =30\n",
"\n",
"Vmax=9\n",
"T1=1\n",
"Vc1=3\n",
"p1=1\n",
"p2=2\n",
"Vc2=(p1/p2)**(3/5)*Vc1\n",
"\n",
"Vlist1_up=linspace(Vc1,Vmax,Npoint) #mintavételezési pontok legyártása\n",
"Vlist2_up=linspace(Vc2,Vmax,Npoint) #mintavételezési pontok legyártása\n",
"\n",
"Vlist1_down=linspace(0,Vc1,Npoint) #mintavételezési pontok legyártása\n",
"Vlist2_down=linspace(0,Vc2,Npoint) #mintavételezési pontok legyártása\n",
"\n",
"izoterm1_up=[p1/x *Vc1 for x in Vlist1_up] # izoterma T>T_c-re\n",
"izoterm2_up=[p2/x *Vc2 for x in Vlist2_up] # izoterma T>T_c-re\n",
"\n",
"izoterm1_down=[p1 for x in Vlist1_down] # izoterma T<T_c-re\n",
"izoterm2_down=[p2 for x in Vlist2_down] # izoterma T<T_c-re\n",
"\n",
"Vlist_full=linspace(Vc2/2,Vmax,Npoint)\n",
"pfv=[p1*(Vc1/x)**(5/3) for x in Vlist_full] # adiabata p-V sikon\n",
"\n",
"figsize(xfig_meret,yfig_meret)\n",
"plot(Vlist1_up,izoterm1_up,label='$p_1(V), \\,\\, T>T_c$',lw=3,color='red')\n",
"plot(Vlist2_up,izoterm2_up,label='$p_2(V), \\,\\, T>T_c$',lw=3,color='red')\n",
"plot(Vlist1_down,izoterm1_down,label='$p_{01}(V), \\,\\, T<T_c$',lw=3,color='blue',ls='--')\n",
"plot(Vlist2_down,izoterm2_down,label='$p_{02}(V), \\,\\, T<T_c$',lw=3,color='blue',ls='--')\n",
"\n",
"plot(Vlist_full,pfv,label='$p_0 V^{5/3}=$const',lw=3,color='k',ls='dotted')\n",
"\n",
"legend_meret1=0.8*legend_meret\n",
"legend(loc='upper right',fontsize=legend_meret1)\n",
"\n",
"annotate(r'$V_{c1}$', xy=(1.5,2.), xytext=(Vc1,-0.35),fontsize=xylabel_meret)\n",
"annotate(r'$V_{c2}$', xy=(1.5,2.), xytext=(Vc2,-0.35),fontsize=xylabel_meret)\n",
"\n",
"annotate(r'$p_{01}$', xy=(1.5,2.), xytext=(-1.2,p1),fontsize=xylabel_meret)\n",
"annotate(r'$p_{02}$', xy=(1.5,2.), xytext=(-1.2,p2),fontsize=xylabel_meret)\n",
"\n",
"yfelso_scale=1.2\n",
"axvline(x=Vc1, ymin=0., ymax=p1/p2/yfelso_scale, linewidth=2, ls='dotted', color='k')\n",
"axvline(x=Vc2, ymin=0., ymax=1/yfelso_scale, linewidth=2, ls='dotted', color='k')\n",
"\n",
"\n",
"xlabel('$V$',fontsize=xylabel_meret)\n",
"ylabel(r'$p$',fontsize=xylabel_meret,rotation ='horizontal') # Kell a 'r' az elejen!!!!\n",
"xticks(fontsize=xyticks_meret)\n",
"yticks(fontsize=xyticks_meret);\n",
"\n",
"ylim(0,yfelso_scale*p2)\n",
"ax = gca()\n",
"ax.yaxis.set_label_coords(-0.1, 0.65) # ylabel position \n",
"\n",
"savefig('Fig_Bose_gas/fig_Bose-gaz_25.eps',pad_inches=0.0,bbox_inches='tight'); # Abra kimentese"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"## $p - T$ diagram:\n",
"\n",
"\\begin{equation}\n",
"\\label{eq:p_T}\n",
"pV= \\frac{2}{3}\\, E = \\begin{cases} \n",
"Nk_{\\mathrm{B}}T_{c}\\left(\\frac{T}{T_{c}}\\right)\\, \\frac{g_{5/2}(z)}{g_{3/2}(z)}, &T>T_c\\\\[2ex]\n",
"Nk_{\\mathrm{B}}T_{c}\n",
"\\left(\\frac{T}{T_{c}}\\right)^{{\\scriptscriptstyle 5/2}}\\, \\frac{\\zeta(5/2)}{\\zeta(3/2)}, &T<T_c .\n",
"\\end{cases}\n",
"\\end{equation}"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"data": {
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6C9av1x2NIpIWNO0oItnj5Zfhc5+LTbwuuwwefliJl4ikDSVfIpId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\n/0zsbTG7DTR2AAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f9ebe2e50b8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"figsize(xfig_meret,yfig_meret)\n",
"\n",
"plot(Tlist_up,pV_up,label='$pV, \\,\\, T>T_c$',lw=3,color='red')\n",
"\n",
"plot(Tlist_down,pV_down,label='$pV, \\,\\, T<T_c$',lw=3,color='blue',ls='--')\n",
"\n",
"legend(loc='lower right',fontsize=legend_meret)\n",
"\n",
"annotate(r'$\\mathrm{el\\acute {e}rhetetlen \\,\\,\\, tartom\\acute {a}ny}$', \n",
" xy=(1.8,2.), xytext=(0.3, 2.),fontsize=legend_meret)\n",
"annotate(r'$\\mathrm{Bose-g\\acute {a}z}$', xy=(1.5,2.), xytext=(2.5, 1.6),fontsize=legend_meret)\n",
"\n",
"axhline(y=0.0, xmin=0, xmax = 4, linewidth=0.6, ls='dashed', color='k')\n",
"axvline(x=1.0, ymin=0.0, ymax = .30, linewidth=2, ls='dotted', color='k')\n",
"\n",
"xlabel('${T}/{T_c}$',fontsize=xylabel_meret)\n",
"ylabel(r'$\\frac{pV}{Nk_B T_c}$',fontsize=xylabel_meret,rotation ='horizontal') # Kell a 'r' az elejen!!!!\n",
"xticks(fontsize=xyticks_meret)\n",
"yticks(fontsize=xyticks_meret);\n",
"\n",
"xlim(0,3.5)\n",
"ylim(0,3)\n",
"ax = gca()\n",
"ax.yaxis.set_label_coords(-.12, 0.53); # ylabel position \n",
"\n",
"savefig('Fig_Bose_gas/fig_Bose-gaz_30.eps',pad_inches=0.0,bbox_inches='tight'); # Abra kimentese"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"## Az entrópia hőmérsékletfüggése: \n",
"\\begin{equation}\n",
"\\label{eq:S_def}\n",
"\\frac{S(T)}{Nk_{\\mathrm{B}}}=\\begin{cases}\n",
"\\frac{5}{2}\\:\\frac{g_{5/2}(z)}{g_{3/2}(z)}-\\mathrm{ln}(z), & T>T_{c}\\\\[2ex]\n",
"\\frac{5}{2}\\,\\frac{\\zeta(5/2)}{\\zeta(3/2)}\\,\n",
"\\left(\\frac{T}{T_{c}}\\right)^{{\\scriptscriptstyle 3/2}}, & T<T_{c}.\n",
"\\end{cases}\n",
"\\end{equation}"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"data": {
"image/png": 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GxkYaGxsT9nwmSH9ZG2NmAcs7WhAYYwqttU0Rxm2x1g4P2a4FFllr10QYa4P0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\ngg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f9ebe255128>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"figsize(xfig_meret,yfig_meret)\n",
"\n",
"plot(Tlist_up,Slist_up,label='$S, \\,\\, T>T_c$',lw=3,color='red')\n",
"\n",
"plot(Tlist_down,Slist_down,label='$S, \\,\\, T<T_c$',lw=3,color='blue',ls='--')\n",
"legend(loc='lower right',fontsize=legend_meret)\n",
"\n",
"axvline(x=1.0, ymin=0.0, ymax = 20, linewidth=2, ls='dotted', color='k')\n",
"\n",
"xlabel('${T}/{T_c}$',fontsize=xylabel_meret)\n",
"ylabel(r'$\\frac{S}{N k_B}$',fontsize=xylabel_meret,rotation ='horizontal') # Kell a 'r' az elejen!!!!\n",
"xticks(fontsize=xyticks_meret)\n",
"yticks(fontsize=xyticks_meret);\n",
"\n",
"ax = gca()\n",
"ax.yaxis.set_label_coords(-.1, 0.53); # ylabel position \n",
"\n",
"savefig('Fig_Bose_gas/fig_Bose-gaz_35.eps',pad_inches=0.0,bbox_inches='tight'); # Abra kimentese"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"## Az állandó térfogaton vett fajhő hőmérsékletfüggése:\n",
"\\begin{equation}\n",
"\\label{eq:CV}\n",
"\\frac{C_{V}(T)}{Nk_{\\mathrm{B}}}=\\begin{cases}\n",
"\\frac{15}{4}\\,\\frac{g_{5/2}(z)}{g_{3/2}(z)}-\\frac{9}{4}\\,\\frac{g_{3/2}(z)}{g_{1/2}(z)}, & T>T_{c}\\\\[2ex]\n",
"\\frac{15}{4}\\,\\frac{\\zeta(5/2)}{\\zeta(3/2)}\\,\n",
"\\left(\\frac{T}{T_{c}}\\right)^{{\\scriptscriptstyle 3/2}}, & T<T_{c}.\n",
"\\end{cases}\n",
"\\end{equation}"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"data": {
"image/png": 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awEPPPIT/MfY/MPXmFN449wYAYGUJf/QoNePj4/B4PLDb7ZBSwuVyYWhoCLOzsyEFGE+e\nPLnsdSorKyMmqLXZbNi2bVvIpLQGg8E/HQigArfgUgPBLBZLSM5V+FN0QoiU5rcjyif87U0UJhMB\n0/zCPL739Pew++huvHHuDX/A5LNS8EePUtPeHppZMDg4iNbW1pChu7q6OpjNZrS2tsasw+Qrthj8\nvtra2pC6RL4k7+DpQwYHB3HvvfdGXM9XCkBKCbfbDZfLxUKypEv87U0U7uRJYO3alN565vwZHBg/\ngK/98muYX5jH6fOno563cgV/9Cg9Ho8HAwMDcLvd/l4eXxBUVlYGq9WK1tZWmEwmdHd3Y/PmzSHv\nb2pqQldXV8gQXHV1NWpqatDX14eysjLY7XbY7faQOdU8Hk9Er5EvuArurRVChCSD+8onEBU6wTHn\n5QkhJD9HRcRuBz78YWDnTuBrXwNWrEjobZ6zHnzr376Fvif7sCgXceb8mWXPf/eV78bTHU9nosVE\ny7Jareju7obVao1I6G5ra0uqRpDb7YbD4UhpQl2HwwEhRMr1logyxTvBdMrdoQyc4mDgVETcbqCu\nDsKb9yE3bgT+6Z+AKAm0wV6eexnv+F/vwLnFczi/dD4jTVlZshIXrLgAF6y8wP964YoL1evKC/3L\nxasuxsWrLsZFKy9Sr6suwgUrLsDqFauxsmSlf1m1YlXIdviyqmT544lcY2XJSqwQKzg8k4eGh9Uz\nMOGB0/DwsL+XKREWiwXbt29PKU9px44dUZ+0I8q1dAMnjhcQ+VRUAO97H+TPf662R0aA+nrgpz8F\n3v3umG+75rJr8I1N38C9jntxduFszOG5cDdcfgPOLp7F/MI85hfncW7hnHpdPIeFpQUsLC0kfC29\nWCFWYPWK1bhw5YWRgWNQwOgLFC9eHQgaL1x5YUTAmGxwmGiAGO16+Rgw+nKNXC4Xdu7cGXG8paUF\nfX19CQdOLpcrpaDJ6XSG5EkRFTL2OMXBHqcis7QE3Hcf8NWvBvZdfDHw3e8CZvOybz27cBb7x/fj\n/qP349ziOby58GbMc2952y341V2/ylSrQyzJJSwuLWJhaQHnl877g7Boy/nF5Y8nco3g68wvzuPN\nhTfx5nnvshD06l0/u3AW84vz/oDR93p+8TwW5WL8G9SpC1aoIHFFyQp85LqP4MctP87Jx52bm8P4\n+HjcITSPx4OhoaGUhumGh4dj1n0iyjUO1WUZA6ciNTwMfOYzwBtBT8Pt2gU88EDcvKfT507jG//6\nDez99V4sykWcXTgbcc4H13wQR//maIYbXdyklFiUi0kHhskEiLGueW5R9Ra+ef5NnDl/Bm8uqNcz\n58/g7MJZ/zK/MB/ay7h4DvML8xFDvPXX1OOp9qc0+kwS6RsDpyxj4FR8/E8GPfss8IlPAMFzVCWY\n9wQAs2dnseeXe/Dtp76NJbmE+cV5/7HG6kbY77RnvO1ERLS8dAMnXUy5QpSusTGgsxN44gng/Hnv\nXHU33AA89RRw662BE0dGgLo64De/iXvN8gvLsbd5LybvmcTnaj6HC1deiFUlqwAAq1esztatEBFR\nFjFwIgLw4x8DfX3ABz8IfOUrQQfKy4F//mfgi18M7HO7gZtvBhJ8jPuKS67Ag7c+iOf/7nl88l2f\nRIkowQUrLsjsDRARUU5wqC4ODtXp39IScM01wJ/+pLb/9V+B970vyok//Slw552heU++ek+rE+9B\ncs24cH7xPN5++dvTazgRESWNOU5ZxsBJ//7t3wKB0hVXAK+8ssxcdb/9rcp7eu65wL5164DvfQ+4\n6absN5aIiNLCHCeiND3ySGD91ltVwBQzWH7nO1Xe00c/Gth34oSq9/TVrwLnM1MAk4iI8hMDJyp6\nwYHTxz6WwBvKyoCHHwa++U3gwgvVvvPnVR7UzTcD//7vWWknERFpj0N1cXCoTv8mJ1Xw9LOfAYcP\nA5demsSbf/c74G/+Bvi//zewb+VK4L/9N+BLXwIuuSTDrSUionQwxynLGDgVn+AZ3hOyuAh8/euq\nx+ncucD+a68Fvv1t4LbbstBKIiJKBQOnLGPgRAn7f/8P6OgAfvnL0P0f+YgKrN75Tm3aRUREfkwO\nJ8oXN9wA/OIXal67yy8P7H/0UeBd7wLuvhuYmtKufURElDb2OMXBHidKydQUcO+9gNUKBH//lJUB\n3d0qiLr4Yu3aR0RUpNjjRJQil0sVvwwnhPDnOaWsshLo7wecTmDDhsB+jwfo6QGuuw44cCA0J4qI\niPIeAycqSgsLasq5a64B2ttDi4EvW8cpWTfdpCbCGx4Grr8+sP8PfwB27FD7rFbWfyIiKhAcqouD\nQ3X6dPQo8KEPqfW3vhV46SUg3U6muM6fV/lPu3cDf/xj6LFrrwV27QLuugu46KIsN4SIqHhxqI4o\nBf/8z4H1227LQdAEAKtWAdu2ASdPAhZLaAL5iy8Cf/u3QHU18MADwPR0DhpERETJYo9THOxx0h8p\nVYrRqVNq+7HHgE2bAseTruOUqjfeAB58UJUqePXV0GOXXKJ6n/7u71RjiYgoI1jHKcsYOOnPs88C\nN96o1i+9FHjtNeCCCzRs0JkzwMGDqhfq5ZdDjwkB/OVfqt6ojRuBEnYSExGlg0N1REk6fRr44AdV\nDPLhD2scNAGqLMHdd6susO9/X9V88pFSzQXzkY+oRPK+vsjeKSIiyhn2OMXBHif9mppS1QGMRq1b\nEkZKwG4HvvUtFTSFW7UKaGkBPvc5oLGRvVBEREngUF2WMXAqPjnLcUrEc88B+/erp/E8nsjj114L\n3Hkn8Nd/HVrugIiIomLglGUMnCgvnD4NDA4CAwPAv/1b9HPe8x7gU58CzGbgqqty2z4iogLBwCnL\nGDhR3vnNb4D//b+BH/0o+tx3JSWqWnlbG3D77cBb3pLzJhIR5SsGTlnGwIny1vw88POfAz/4gcqF\nilZ93BdEtbQAn/iEqvZJRFTEGDhlGQMn/ThyBPg//wf4+MdV1fBYT9PlVY5ToqangcOHgR//GPjl\nL0MnFg5WX68qfn7sY8C7352jyp9ERPmDgVOWMXDSjzvvBH74Q7V+331q5hNd+v3vgaEhFUj9+tex\nz3vb24Bbb1WlDhoaVFErIiKdY+CUZQyc9GFhAbjiCmBmRm2PjwPr12vbppz4/e+Bhx8GfvpTNUHf\nwkL081atAt7/flVCvbkZWLeOZQ6ISJcYOGUZAyd9ePxx1akCAH/2Z2pquKIbpZqZUfPLPPywGrec\nnY19bmWlGs9sbFSv119fhJ8wItIjBk5ZxsBJH+65R9WTBIDPf15NERdLQeY4JWthAXjySZVc/uij\n6km95Vx9tSq3/oEPqOWd72SPFBEVJAZOWcbASR9MJsDlUusjI2o0ioL84Q/qEzM6qqqWv/LK8ucb\nDMAtt6jlv/wXoK4OuOii3LSViCgNDJyyjIGTPrzyCvAv/6JGqn70I2D1aq1blMeWloBnnlHjmw4H\n8MQT0auWB1u5UuVFvfe9gWXtWvZKEVHeYeCUZQycqOgtLgJPP60CqCeeAH71q8QmGi4vVz1RvqW2\nFqiqYq4UEWmKgVOWMXAqPkWR45QOKdUcer/6lcqTevJJ4D/+I7H3VlSonqmaGrWsWwe8/e3qqT4i\nohxg4JRlDJyIEjAzo+bQ8y3HjgGvvZbYe1evBm64AXjXu0KXa65h7xQRZRwDpyxj4ESUAimByUlV\nMMu3OJ2BQlqJKCsD/vzP1XLDDWp5xztU4U4GVESUIgZOWcbAqbA99ZQaDWIyeB7wBVMnTqgg6sQJ\nlTv14ovJXeeSS1RdqXe8Qw3zXX+9er3uOuCyy7LSdCLSDwZOWcbAqXC9+ipw1VXqb+lttwHf/S6w\nYkX89zHHKcdmZ4F//3cVRD3zjFp/9tn4T/JFc+WVKoC67jr1VN/ataoWhcmkktWJqOgxcMoyBk6F\n67vfBe66S63fcovKZaYCIaWaLubZZ4Hf/jbw+tvfqgmNU1FRARiNaqmuVktVlVrWrGEdKqIiwcAp\nyxg4Fa7bbgMeeUStWyzAzp3atocyQEqVdP6736kn+Z57Tq0/9xxw6hRw/nzq177yShVArVkDXHtt\n6PK2twGXX87cKiIdYOCUZQycCtMbb6i/c/Pzavv559WoDenYwoLKlzp5MrCcOqVeXS7g7Nn0rn/h\nhWqiw+DlrW8NXa68UhUDJaK8xcApyxg4FSabDdiyRa3feKNKm0kUc5x0SErgP/9TBVButwqoJifV\n4nYDL7+sCn2mq6REBU9XX63KKVx9dWC56qrA65VXqkCMiHIu3cCJ/xqRLlVWArfeqqZeu/325N7L\ngEmHhAgEMLfcEnl8YUHN1zc5qXqtXngBeOkltf7iiyqwSiRZfWkJ+OMf1TIxsfy55eUqgApfrrgi\nsLzlLeq1tJTDhER5gj1OcbDHqbC9/rpKezEYtG4JFby5ORVABS+//31g+cMf4k+OnKrVq9XY81ve\nElguvzz6UlmpFvZoEUXFobosY+BERAk7d04NCf7xjyqY+uMfA9u+9f/8T+BPf8rM0OByLr5YBVAG\nQ+SrwaCeMvS9Bi+XXsreLdI1Bk5ZxsCp+DDHibJuaUmVVfAFUq+8ooKpP/1JFSDzbfvWz5zJXdtW\nrFDDiBUVoa/BS1lZ4DV8ueyyxAqmEWmEgVOWMXAiIs2dPq3KMLz6amCZmgrs862/9ppan5pSeVta\nuewyFUSVlqoleP2yy0LXfdu+9eDloovY+0UZx8Apyxg4EVHBkVIl+E1NqZ6t6enA+sxMYHtmJrBM\nT6sq7rns3YpnxQo1dOhbLrss9vYll4Qeu+SS2AvnYCpqDJyyjIFTYfnyl1XNpttvBzZtUr8jiSgJ\n8/MqgJqZUa++ZWZGPVno2/Z4Atu+9bk5FbDlu5UrQwOpiy8OvC63fvHFqhcs3qtvKSnR+k4pCgZO\nWcbAqXBIqaYkc7vV9qOPAh/+cPLXYY4TURoWF1Xw5AukfIvHo/b7givfdvC+8MVXwbZQrV4dGUxd\ndJF64jHWum87+HW55YILIrdXr+YQ5zIYOGUZA6fCceIEUFOj1ktLVeoHe+SJCtj582oagNdfD7y+\n/rrK+XrjjcA+33bw/tOnQ/cHL9l+ojEf+AKqCy6IXF9uny/wirUv+Fj4vtWrl19fsSIvAjoWwCTy\nstkC6x/9KIMmooK3alWgTEKmSKnKRviCqDNn1OJb9+1/883AMd/+8H1nzgT2vflm6Hq6U/yka34+\n/3rshAgEUeHLqlXLr8d6DV7fsSMnRft0FTgJIXoBjEgpx5Y5p927eghAJYB2KWVPLtpH2TU8HFjf\nvFm7dhBRHhMi0GOSzT+yS0sqcPEFVL7l7NnIfb79wYtv//x89GO+/dGOpzPZdTZJmd2A7pOfZOCU\nKCFEI4BaAJsBjMQ5vRzAXgAHAEwAaM1u6ygX/vAHNZcroNICNm1K/VrMcSKitJWUBHKXcs0XtIUH\nV7590bbn51VPXPi+8GPB5wTv8y3LbWd7iHTVquxe30sXgZOU0gHAIYRoTuD0GajgCVLKuaw2jHLm\nmmtUTtPPf64KNqfzNB0DJiIqaFoGbctZXFS9YeGBVfC+8HXfcd/+5V7LynJyG7oInJIkGDDpU2kp\ncMcdWreCiIiiWrFCLQU+j2IxBk4QQrQAEACqATiklE6Nm0REREQFoBgDp8HgHichxEkhRC17ociH\nOU5ERBRL0ZU1jRIguQCYtWgL5ScpJYMmIiKKqqgCJyFEtRBiOmz3LACTFu2h9L3yiqrflE/TaxER\nkX4V41DdrrDtcgCnlnvDhg0bsGHDBgDA5OQkqqqqsHv3bgDgq8avf/M3u/Hoo8DFF+9GdzewuJgf\n7eIrX/nKV77m9jWWo0eP4ujRo8uekwxdTbkihBgB0BtcAFMIUQMAvgRwIcROKWWfd70cwDEp5XXL\nXJNTruSxhgbg8cfV+oMPAp//fPrXZI4TEZF+ca46+IOjNgCdUEUtB4OCo14AZVLKHd7tMgDbvG81\nAtgrpZxc5toMnPLUq68CV12lar0Joeo3XX211q0iIqJ8xsApyxg45S+rFdjmDYFvuQX41a+0bQ8R\nEeW/dAOnokoOJ305fDiwvmWLdu0gIqLisVLrBhClats2VWH/0UeBlpbMXZc5TkREFAuH6uLgUF3+\nm59XE51dj/ZDAAAgAElEQVQTERHFw6E6KnoMmoiIKFfSHqrzPtG2HcAMgCkAs1LKg0KITimlJd3r\nExEREeWLtAInIUQngDopZVvY/hHEKSpJlK+Y40RERLGkHDgJIXYBqA4PmrwmADyVcquIlnHuHLB6\ndfauz4CJiIhiSSnHSQhRC6ALkdOX+JwEYE+1UUSxzM0BV14J3H478JOfAIxxiIgol1J6qk4IMQ5g\nREp5b4zjpVLKuXQblw/4VF1++fGPgU9/Wq2vWwc4ndq2h4iICkvOn6rzTllSC2Aw1jlSyjkhRJkQ\nYkQIMSiEKA16/7gQYmtqzaViNzQUWG9tzc7HEEL485yIiIiCpZLjZAQgpZRPL3eSlNIjhBj1nhvc\n+7QreBJeokTNzQGPPRbYzlbgxB5GIiKKJZUcp9nlDgohGoN6mFwATEHHNjNoolT9y7+oYpcAcNNN\nwHXXadseIiIqPkkHTlJKN6DymGKcUh3Uw+SC6qGCEKIaLFFAaXjlFeDSS9W62axtW4iIqDilmhy+\nFUBzlPpNW6WUB4O2ywCMSymv8/Y22dJucY4xOTy/vPkmcOQIUFsLXHttdj4G6zgREelXusnhKc9V\nJ4RoAbARqvTALIBpKeVwlPOmATRAVRSfTLWhWmHgREREpB+aBU4JfwAhTkIlhEcEVYWAgRMREZF+\nFMIkv6OFGjQRERERBct6j1OhY49T8WGOExGRfqXb47RsHSchxBKAdP96iCSuIaDqPq1I82OSjnzl\nK8CaNcDHPw6UlWX/4zFgIiKiWNjjFAd7nLQ1OwtccQVw/rya2PfFF9VcdURERKnIWY6TEKJdCHHS\nO09d8P5G7/4jQoh1Qft7hRBLy9R7Iorr4YdV0AQA73oXgyYiItJWwoGTlNIK4DCAGiFEVdB+B4Be\nKeUmKeWJoLfsAXBKL5P9kjYGg2ZEbGuLfV4mca46IiKKJZkepzIAxwDYAWwPOzwT5S1N3nOJUjI1\nBYyOBrazNTddOCkl85yIiCiqZMoR1AEYBTCAyMAp2l+ZZgDHU2wXER5+GFhYUOvvfS9QVaVpc4iI\niJIKnIxSyjnvtCllvnwmIUQNgIko5zcBsAshyoQQm4UQB4KH+Iji+fSn1cS+f/3XwF13ad0aIiKi\nOOUIwgT3Ktmgep12QAVU0eagq5BSTgohWqSUNiFEE4BpQCWUAxgCsBWqBEE9gGOFOJcdZc/q1cCt\nt6oll1jHiYiIYkkmcJoOWu8HMAIVOEXwBkYuIUSDr2q4lDL43HGoQGnYe/4EgENQARmRphgwERFR\nLAkN1YUPx3mfpJsVQmxG7PymcQBGIUR7lONNUPlSPtuhgjEiIiKivJVojlO1lHIybJ8VQA+A2Sjn\n1wI4IKU8CKALAIQQ1UHH66ECr0YhRC+AEe+5RERERHkr0cCpMsq+fgA1UsqxKMfqpJRPe9d9PVLG\noOO1UsqDUkqHlLIbwL4E20FF4JlnVCkCrbCOExERxbJs4CSEqBZCHALQK4TYGnxMSulGlIDH27MU\nPAzXL4RoABD8p7AiyvvWhe+j4vS5zwFXXaWSwp9/Pvcfn3WciIgolpzPVSeEqAXQ7ksWF0IYARyR\nUl6X04YkiHPV5ZbbDRi9fZMrVwJ/+hNgMGjbJiIi0o9056pL5qm6tHl7o7oBSCFEC9QQYC1UMjkR\nHnoosL5pE4MmIiLKLzkNnLzDe+ZcfkwqLP/0T4H1O+7Qpg2s40RERLHkfKiu0HCoLneefRa48Ua1\nfuGFwCuvAJddpm2biIhIX9IdqktmyhWirFq9GmhvByoqgI9+lEETERHlH/Y4xcEep9w7dw6YmQGu\nvFLrlhARkd6k2+PEwCkOBk7FhzlORET6VVBP1REVAgZMREQUC3OciIiIiBLEwIk0t7SkdQuIiIgS\nw8CJNNfRATQ0AAcPAh6P1q3hXHVERBQbk8PjYHJ4ds3Pq6fnfAHTk08CN9+sbZuIiEi/WMeJCtpj\njwWCpqoq4H3v07Q5REREy2LgRJr68Y8D63/1VwBHyIiIKJ9xqC4ODtVlz9ycGqY7e1ZtP/sscMMN\n2rYJYB0nIiI941AdFazf/Q4oL1frN92UH0EToAImBk1ERBQNC2CSZurrgZdfBh5/HDh/XuvWEBER\nxcehujg4VEdERKQfHKojyjDWcSIiolg4VEcUhj2MREQUC3uciIiIiBLEHifKOasVOHMGuOMOVY6A\niIioUDA5PA4mh2eWlIDRCExOAiUlwC9+Abz//Vq3KhTrOBER6Ve6yeHscaKc+vWvVdAEAKWlqiRB\nvmHAREREsTDHiXLqhz8MrLe1ARdcoF1biIiIksWhujg4VJc5Z88CV18NzM6q7V/+Mv+G6YiISN9Y\nx4kKht0eCJqqq4FbbtG2PbGwjhMREcXCHCfKmVtvBZ58Ug3XGY1AvsYm7GEkIqJYOFQXB4fqiIiI\n9INDdUREREQ5oqvASQjRK4RoSOC8TiFEixBipxCiJhdto8LBHCciIopFFzlOQohGALUANgMYiXPu\nIQAPSClPeLdHAGzMeiOpYHBoloiIYtFFj5OU0iGltABwJ3B6oy9o8nIl0ktFqXv8ccCdyFeGiIgo\nz+kicEqUt2fKFbZ7FkCzBs0pCktLwGc/q56i+8AHgBde0LpFREREqSuqwAlAeZR9UwCMuW5IsXji\niUCw9OyzwFVXadueRDDHiYiIYtFFjlMSDFo3oNh8//uB9U9+sjCmWGGOExERxVJsPU7TUfZV5rwV\nReL0aeDw4cD2nXdq1xYiIqJMKLYep1lEH64Lz3sKsXv3bv/6hg0bsGHDhow2Sq+Gh4E33lDr73gH\nUF+vbXuIiKj4HD16FEePHs3Y9XRVOdxbWqBXSjm2zDlTUsrKoO1DAA7Eeg8rh6fu1CnAagV+8APg\n7ruB7m6tW5QYX34Tv+5ERPqTbuVw3QdOvgKXUkqnd3sQwJ6gOk7HpJQx+0IYOKVvYQE4fx646CKt\nW0JERMUu3cBJF0N13uCoDUAjgAohxKCUss97uA1AGYAd3u1tALqFEEYA9QDac93eYrNypVqIiIgK\nna56nLKBPU5ERET6wUl+iTKMdZyIiCgWBk6Ucb//vdYtSI+UkonhREQUFQMnyqjTp1XpgXXrgG99\nSyWFExER6QUDJ8oom03Vbnr6aWD/fiaFExGRvjBwooz67ncD65/9LFCIqULMcSIiolj4VF0cfKou\ncS4XYDKp9ZIS4KWXgGuu0bZNREREwfhUHeWN730vsP7hDzNoIiIi/WHgRBlz7bXA9der9bvu0rYt\nRERE2cChujg4VJccKYEnn1QT+q5erXVrUsO56oiI9Itz1WUZAyciIiL9YI4TERERUY4wcCIiIiJK\nEAMnSouUwNKS1q3ILNZxIiKiWBg4UVqOHweMRuD++4EXX9S6NZnBueqIiCgWBk6UloMHgRdeAHbv\nBr74Ra1bQ0RElF18qi4OPlUX2+nTwNVXA6+/rrZ/8QvgAx/Qtk1ERETL4VN1pJmhoUDQdP31wF/8\nhbbtyRTmOBERUSycu55SZrUG1rduLcwJfaNhDyMREcXCHidKyenT6ok6AFi5EvjMZ7RtDxERUS6w\nx4lScsklamqVZ54BnnoKuOIKrVtERESUfUwOj4PJ4cWHc9UREelXusnh7HEiCsOAiYiIYmGOExER\nEVGCGDgRERERJYiBEyXlq18F/v7vVVK4XrGOExERxcLk8DiYHB4wPw+89a3A1JTa/uUvgfe/X9s2\nERERJYOVwylnbLZA0HTttcDNN2vbHiIiolxj4EQJ6+8PrLe3AytWaNcWIiIiLXCoLg4O1Sm//S1w\nww1qfcUK4MUXgWuu0bZN2cI6TkRE+sWhOsqJX/8aKPF+t3z84/oNmgAVMDFoIiKiaNjjFAd7nAJe\nfhk4eBBobAT+4i+0bg0RZUJVVRVeeOEFrZtBlLY1a9ZgcnIy7nnp9jgxcIqDgRMR6Zn3j4jWzSBK\nW6LfyxyqI8ow1nEiIqJYOFcdURj+901ERLGwx4mIiIgoQQycKKaZGeBTnwJ+8QuAnTBEREQMnGgZ\n3/se8JOfABs2AJ/8pNatyR3mOBERUSzMcaKolpaA73wnsN3YqF1bco05TkREFAsDJ4pqdBQ4eVKt\nl5UBf/VX2raHiEgLHo8HAwMDGB0dRUVFBQwGAwCgubkZLS0tcDqdsNvt6OzszGm73G43TCYTTCYT\namtrYTAYIKXEwMAAAKC1tRUVFRWYnp6Gy+XCxMQEBgYGsHXrVrYzXb4qyVyiL+pTVHw+9jEpVWaT\nlPfco3VriChbivV3XCL27t0r165dK202W8Qxm80mu7q6ZEVFhXQ4HDlvW1dXl+zr64vYL4SQmzZt\nithvNpt1385Ev5e956UcF7DHiSJ4PMATTwS2d+zQri1a4Fx1RMXN4/Fgy5YtKCkpwfPPPx/1nJaW\nFjz00EPweDxoaGjIcQtVG3t7e0P2TUxMAACampoizq+vr0ddXd2y13S73aiurs5cI5GddmqNgRNF\nKCtTk/j+4AfAs88C11+vdYtyiwETUXFraGjA66+/jueee27Z89ra2uDxeHLUqgCn04nW1taI/Xa7\nHUKIqAEJAJSWlsa8psfjQVdXl/81E8FgNtqZD/hUHUVVWgr87d8C+/dr3RIiotzp6urCiRMnMDQ0\nFPfc8vJyNDc356BVoYQQUQOb0dFRlJeXY926dRHHYgUpPmVlZTh06BCGhoYwMjKC+vp6HDx4MO/a\nmQ84V10cnKuOiPSMc9UF+BKZN27ciMceeyzu+XNzc5ienkZVVVX2G5eAkpISmM1mPPTQQxm5nsVi\nwaFDh9DW1ob29naUlZVl5LqZbqcP56oj0gjrOBEVpwMHDkAIga6uroTOLy0t9QdN3d3dKCkpwY4d\nOzA5ORlynsVigcFgQE9PT4ZbHOB0OgFktsems7MTx44dQ3V1NRobG7Fjxw643e60rpmNduYae5zi\nYI8TEelZSj1O+fCPRRZ+L9fV1cHpdGJmZialPJsVK1bA5XJhzZo1IfsdDgcqKyujDk1lyr59+9DT\n04NTp05lrQfsxIkT2LVrF8rLy9HT04Oampqkr5HNdrLHiXLu/vuBoSFgYUHrlhAR5Z7L5UJ5eXnK\nycnV1dU4depUxH63253VoAkI5A1lc9hw3bp1/tyvpqYmzM3NJX2NXLQz2xg4EQD1FN1XvgKYzYDR\nCMzOat0iIqLcMhgM/gKX8VgslojAwWg0wuVyheyz2Wwwm80Za2MsDocjq4nqbrcbHR0daGpqwh13\n3IGpqamUAsxstzMXWI6AAKin5xYX1fp11wHl5dq2R0us40QUh05/NpqammC1WuOe5/F4MD09HRE4\nGI3GkB4nj8cDIUTWH6/PZt6Q0+nEnj17IIRAT09PWj1nibbT6XTi+PHjMBqNmJmZwebNm1P+mNnA\nHifCmTOAt/o9AODuu7VrSz7wVYclouLiSwofHh6OeY6voOOePXsijpWXl4f0OB06dAgtLS2Zb2iY\n0dFRCCEy2pNjs9lQV1eHgYEB7Nu3D4ODg2kPNybSTrvdjt7eXmzduhUNDQ3Ytm1bWh8zG9jjRPjR\nj4DpabVeXQ189KPatoeISAvV1dU4cOAA2tvbUV5eHlGDyOFw+HtgojGZTHA4HABUr0l9ff2yH89k\nMqG5uRkHDhxIq92+vKHwpPRUBJcgGBsby2hvWSLt7Ojo8H8OAaT9FF828Km6OIrhqbpNm4CREbX+\nzW8C99yjbXuIKHdYxynS5OQkdu3aBSEEDAYDTCYTADXEtFyvi8PhgNlsxtTUFA4ePBh3otq1a9fC\n7XZj0ZcnkQSr1YrR0VG4XK6QITCj0Yiurq6kk6/dbjdaW1vR0dGR0Ql2k2mn0+mE2WyOOc1NPLl6\nqo6BUxzFEDidPw8MD6vhuuFhNeVKMWOOExUTBk6Z4yugefjwYTQ1NSXUWzM8PJyT4bxCYLVaYbfb\nMTg4mNL7WY6AcmbVKqCtDXA4GDQBzHEiotT4JsiNljgey9TUVDabVFDq6uowG/ZI93L5ZlphjhMR\nEVGGNDc3JzXUVVlZmcXWFJaamho0NzdjeHgYUkoIIfKyN45DdXEUw1AdERUvDtVph8N0mcUcpzzB\nwKn4MMeJigkDJ9KLXAVOHKorUv39wLlzwGc/C1x6qdatyS/8I0JERLGwxykOPfY4nT0LXHst8Oqr\nKhn86FEgy9MoEVGeYo8T6QWfqqOs+eEPVdAEAKWlwJ//ubbtISIiKhQMnIrM0hLwjW8Etv/+71U5\nAgoQQvjznIiIiIJxqC4OvQ3VPfIIcNttav2yy4CXXmLtJqJixqE60gsmh6dACNEJ4BQAIwCHlNIZ\n47x27+ohAJUA2qWUPblppbZ+9rPA+vbtDJqIiIiSoZseJyHEIQAPSClPeLdHpJQbY5zbCWAvAAlg\nAkCrlHIyxrm66nGSEvjFL9Rw3Xe+A/zZn2ndIiLSEnucSC9YxylJQogpKWVl0PYBAIeklGNRzt0K\n1dsEKeVcnOvqKnCi+FjHiYoJAyfSCz5VlwQhRCMAV9juWQDNsd4ipZyLFzRRceJcdUREFItecpzK\no+ybAlAX6w1CiBYAAkA1lsmHIiIiIvLRS+BkSPL8weDeJiHESSFELXugiIiIaDl6CZymo+yLOeV0\nlADJBcAM4GC083fv3u1f37BhAzZs2JB0A7X0la8Ap0+rmk1XX611a/Ifc5yIyMfj8WBgYACjo6Oo\nqKiAwaD+T29ubkZLSwucTifsdjs6Oztz2i632w2TyQSTyYTa2loYDAZIKTEwMAAAaG1tRUVFBaan\np+FyuTAxMYGBgQFs3bq16Np59OhRHD16NGPX8+dzFPICoBHA82H7egHsiXJuNYDpsH2Hop3rPSYL\n2fS0lJdeKiUg5erVUp44oXWLiCifFPrvuGzau3evXLt2rbTZbBHHbDab7OrqkhUVFdLhcOS8bV1d\nXbKvry9ivxBCbtq0KWK/2WzWfTsT/V72npdyzKGLHicppUMIET5cZwRwIMZbdoVtl0PVf9KdBx8E\n3nhDra9dC7zrXdq2h4go33k8HmzZsgUlJSV4/vnno57T0tKChx56CB6PBw0NDTluoWpjb29vyL6J\niQkAQFNTU8T59fX1qKuLmfabNKfTiZqamrjnad3ObNBF4ORlF0Ksk946TgCqpbcUgRCiBgCklE4p\npVsI4U8m965XSymjDtMVstOngW99K7Dd1QWU6OI5SiKi7GloaMDrr7+O5557btnz2tra4PF4ctSq\nAKfTidbW1oj9drsdQoioAQkAlJaWpv2xbTYb+vv7YTKZsH///rxtZzbpKXDaBqBbCGEEUA+gPehY\nG4AyADu821ZvEUxA9UzFKltQ0KxW4LXX1PqaNcAnP6ltewoFc5yIildXVxdOnDjh7xVZTnl5OZqb\nc//nQwgRtZdrdHQU5eXlWLduXcSxWEFKoqxWK/r7+9Hc3IzDhw8nFNxo0c5c0E0BzGwp5AKYX/iC\nqg4OqCG7z39e2/YQUf5hAcwAXyLzxo0b8dhjj8U9f25uDtPT06iqqsp+4xJQUlICs9mMhx56KCPX\n83g82LNnDxwOB7Zv356xhO1Mt9OHBTApbQ8+CDzzDLBjB3DXXVq3hogovx04cABCCHR1dSV0fmlp\nqT9o6u7uRklJCXbs2IHJycmQ8ywWCwwGA3p6sjclqtOpShFmosfG7Xajo6MDZrMZ73nPe3Ds2LGM\nBU2ZbKdm0sksL4YFfOKEiHQs1d9x992nntYNX+67T5vzM2H9+vWypKREejyelN5fUlIiJycnI/bb\n7XbpdDrTbd6y9u7dK0tKSqTb7U75GqOjo7K5uVmazeastTcT7Ywl0e9lpPlUHXuciMIIIfx5TkRU\nPFwuF8rLy1NOTq6ursapU5EPaLvd7qj5PJnkyxtKddjQ7XbDbDbDZDJhcHAwa+1Nt535gIETURjf\nfxVEVFwMBoO/wGU8FosFc3OhtZSNRiNcrtBpU202G8xmc8baGIvD4UgrUb26uhrT09Oora1FXV0d\nenp6svLEYLrtzAcMnHTm3DmtW0BExWD37mgDaWq/FudnQlNTU0TgE43H48H09HREz5TRaAzpcfJ4\nPBBCZP3x+kzmDbW3t2N8fBxNTU1obW1FW1ub//rpSrSdTqcTBw8exNjYGGw2W0Y+diYxcNKRxUVg\n/XrgM58Bfvc7rVtDRFRYfEnhw8PDMc/xFXTcs2dPxLHy8vKQwOvQoUNoaWnJfEPDjI6OQgiR0Z6c\nxsZGjIyMYO/evdizZw82bdqEsbGxtK6ZSDvtdjt6e3uxdetWNDQ0YNu2bWl9zGxg4KQjhw6pp+h+\n8APg5puBN9/UukWFiTlORMWpuroaBw4cQHt7e9QgweFwwGq1Rg2aAMBkMvkDJ6fTifr6+mU/nslk\nQkdHR9rt9uUNrVmzJu1rhauqqsKhQ4cwNDSEkZER1NfX4+DB1OpFJ9LOjo4O7Nu3z7/tdrtT+ljZ\nxDpOcRRKHafFReDGG4H/+A+1/aUvAfffr22biCj/sY5TpMnJSezatQtCCBgMBphMJgBqiGm5pGmH\nwwGz2YypqSkcPHgw7iP8a9euhdvtxuLiYtJttFqtGB0dhcvlChkCMxqN6OrqymrytdVqxcDAABwO\nR9xhyGTa6XQ6YTabY05zE0+u6jgxcIqjUAKnn/wE+NSn1HppKTA5CVRUaNokIioADJwyx1dA8/Dh\nw2hqakoot2l4eDgnw3mFwGq1wm63Y3BwMKX3swAmJWxhIbR36Z57GDQREeVadXU1AERNHI9lamoq\nm00qKHV1dZidnQ3Zt1y+mVb0NFdd0Tp7Fti0SfUyXXQR8F//q9YtKmycq46IUtXc3JxUle3Kysos\ntqaw1NTUoLm5GcPDw5BSQgiRl71xHKqLo1CG6gDgpZeA3/wGuPVWrVtCRIWCQ3Xa4TBdZjHHKU8U\nUuBERJQsBk6kF8xxIiIiIsozDJyIwrCOExERxcLAqUC9/jrwxBNat0KfOFcdERHFwsCpQH3jG8AH\nPwh85CPA009r3RoiIqLiwMCpAL36KvD1r6v1xx4DTpzQtj1ERETFgoFTAfra19RQHQDccAPw6U9r\n2x69YY4TERHFwnIEceRbOQK3G3j724Hz59X2ww8Dt92mbZuIqHCxHAHpBcsRUFT79gWCpltuAT72\nMW3bQ0REaoLf7u5ujI2NRT3udDrR3d2dl1OIUHIYOBWYvj7gy18GLr0U2LsX4IgSEZH2GhsbMTs7\ni4mJiajHa2pqAADHjh3LZbMoCxg4FZhLLgG++EXg5ZdVjxNlHnOciCgVJpMpreNUGDjJb4EqK9O6\nBfrFfA8iIoqFPU5EREQZNjAwgJKSEvT09MQ8x+l0wmazwWq1oru727/f4/HAarVibGwMNpsNHR0d\ny+53OBzYuHEjhoeHYbPZUFdXh76+vuzeYBFjj1MBkJK5TEREWvB4PBgYGMDo6CgqKipgMBgAAM3N\nzWhpaYHT6YTD4cDOnTtD3ldSUgK32401a9bEvHZrayscDgfWrFmD7u5u9PX1YefOnRgYGEBzczPW\nrVsHABgfHweAmPtnZ2dx+PBhlJaWYmJiAh6PJ6I9lDnsccpzU1PAe98L/PSnKoCi7GOOExEBwL59\n+1BXVweTyYSRkREMDg5i//792L9/PwCgu7sbjY2NWL9+vf89Ukp0d3ejqalp2aAJAOx2u/+c+vp6\nnDp1CgBgNBqxdetW2Gw2eDwef69VrP0mkwmlpaUAALPZjMOHD2f2E0EhGDjlud27gWPHgJYW4K67\ntG5NceBcdUTFzePxoLm5GQ6HA88//zxaWloizmlpaYHL5YLH48GHPvQh/3673Q4hBHp7e+N+nKqq\nKv9Q3bFjxzA9PQ0A2Lx5M+6991709/fDYDBgz549y+739UB1dXVh48aNuOmmm9L+HFBsDJzy2LPP\nAt5/bAAAn/iEdm0hIioWDQ0NeOGFF3DkyJFlz2tra0NTU1PIvtbWVuzZswcOhwMn4syH5evNam9v\nR319vX+/w+FAS0sLRkZGMDMzA7vdvux+AHC5XBgeHsZ3vvMdAIDNZkvqnilxDJzylJTA3XcDi4tq\nu7GRFcKJiLKtq6sLJ06cwNDQUNxzy8vL0dzcHLLP11t94MABbN26NeI9vuMOhwNCCH9vka+3yeFw\n4JFHHvEHXaWlpairqwMAjI6ORt0PqCG6/v5+/7bL5UrshilpTA7PUzYb4CtAu2IF8D//JxPEc8WX\n38ThOqLi4na7YbFYEh7uqq+v99dmcjgcGBwchBAC9fX1MBgMcDqd2LRpE/r7+zEzM4P+/n54PB5s\n3LgRjY2NMBqNOHjwIIxGI+rq6nD48GE4nU7ceOONcLlccLlckFL6g7O1a9dG3W+1WuHxeDA7Owur\n1YrR0VHWjMoizlUXh1Zz1T3+OLB9O/D886rn6VvfynkTiKgIcK66gK6uLvT19cFut4fkLVFhyNVc\ndQyc4tBykt/5eeAf/gFobwfKyzVpAhHpHAOngLq6OjidTszMzPifUqPCwcApT2gZOBERZRsDpwCD\nwQAhBKamprRuCqUgV4ETk8OJwrCOE1FxMhgM/gKX8VgsFszNzfm3u7u7UVJSgh07dmBycjLiXIPB\nsGwVcSocDJyIwrCOE1FxampqSuhpNI/Hg+np6ZDhvN7eXggh0N3djaqqqpDza2trMTY25q+7RIWN\ngVOeeO014L//d+CNN7RuCRFRfLt378bu3bs1286Grq4uAMDw8HDMczweD3p7e6MGQdXV1f7q38Hc\nbre/7AAVPuY4xZGrHKc77wR++EPgbW8D/vEfgbDSIEREWcEcp1C+CXeHhobQ0NAQcszhcMDpdMac\nB27jxo0wm80h9ZtsNhuam5uZbJ4DucpxYh2nPHDkiAqaAOCll4Bz57RtT7FjHSei4tXe3o7m5mbs\n2rXLP7WJryZSU1PTspPnGo3GkB4nj8cDIQSDJp1h4KSx119X9Zp87rgDuPVW7dpDDJiIil1VVRUO\nHeHvNgsAAAsBSURBVDqU9PvKy8tDcqQOHTqE9vb2TDaN8gBznDTW0wO88IJaNxhY6JKIqFCZTCZ/\n4OR0OkPmnyP9YOCkoaUl4OzZwPa3vw1ccYV27SEiotQZjUZ/4HT8+HEmhOsUk8PjyEVy+M9+Bjz8\nMNDfz/no8gFznKiYMDk8c9xuN0wmEw4fPoympibmNuUYk8OLyK23Mq8pn/CPCBGlorq6GgAiajyR\nvrDHKQ5OuUJEesYep8zatGkTjhw5onUzihLnqssTDJyISM8YOJFecK46HVpaAnbsAMbHtW4JLYdz\n1RERUSwMnHLo618HDhwAbr4Z2LtX69ZQLJyrjoiIYmHglCP/+q/Avfeq9YUFYHZW2/YQERFR8pjj\nFEcmcpxeew2orVXTqQDA+94HPPEEsGpVBhpIRJQG5jiRXjDHSSekBD796UDQVFEBPPQQg6Z8xhwn\nIiKKhYFTlgkBfOELQFmZ2v7BD4A1a7RtEy2POU5ERBQLh+riyFQ5gpMnAYcjdEJfIiKtcaiO9IJ1\nnPIE6zgRkZ4xcCK9YI4TkUaY40RERLEwcMqwmRngsce0bgWlgzlOREQUCwOnDDpzBvjYx4C//Evg\nH/5B69YQERFRpjHHKY5Ec5zm54FPfCK0t+n4cVW/iYgoX1VVVeGFF17QuhlEaVuzZg0mJyfjnpdu\njtPKVN9IAfPzQGtraND0zW8yaCpUvvwm/lNBxSCRPzREFMDAKQPuvht45JHA9pe+BNxzj3btofQw\nYCIiolg4VBdHIkN1zz0HvP/9wKuvAt3dwAMPqMKXRERElF9YxymIEKITwCkARgAOKaUz3XMTzXGa\nmAAefVRN5MugiYiIKD8xcPISQhwC8ICU8oR3e0RKuTED57IAZpFhjhMRkX6xAGZAoy8Q8nIJIRoy\ncK7f668DfX3AwkJa7SwYR48e1boJmpBS4vHHH9e6GZoo1q85wHsvVrx3SpYuAichRCMAV9juWQDN\n6Zzrs7CgJue94QagsxP42tfSbXFhKOYfqmK992K9b4D3Xqx475QsXQROAMqj7JuCyl9K51wAQHU1\n8JnPAC+/rLa//GXg2WdTaCUREREVNL0EToYsnQsgEDABwFveAnz/+6r3ifRJCIH7779f62YQEVEe\n0kVyuBBiM4BuKWV90L5eANVSyrZUz/UeK/xPEBEREfmxcrjKUYo2BBeey5TsuWl9comIiEhfdDFU\nJ6V0IHIIzghgNJ1ziYiIiILpInDysgsh1gVtV0spxwBACFEjhKhJ5FwiIiKiWHSR4wQAQogyAN0A\njgGoBzAYVOCyF0CZlHJHvHOpOHi/J0biBczJVKMvFIncuxCi3bt6CEAlgHYpZU8u2kdElCneEkTl\nUkrbMuck9XteN4FTOrIxVUuhSGLqGV38IfX+ENUC2AZge5zgIeEK84UgyXvvBLAXgAQwAaBVSjmZ\ni3Zmi/cfpm3ezToAvcXys57MvevlZx0IuW9frb5+b7pGrPP1+DWPe+96+pqHE0KMAzggpTwY43jy\nv+ellEW9QH2jrAvaHsnEuYWwJHnvnQCWACxC9dRVad3+NO99BEBDnHOmwrYPxHtPISwJ3vtWAKUA\nSrVubwbv+0DQejWA6Vjfxzr8WU/m3nXzsw4VIAbf91Ks72kdfs2TuXfdfM3D7qsRwCCArcuck/Tv\neT3lOKUq61O15LFk7mcG6mnECillvSzw3od4UqkwrzNCSjknpZzTuiGZIISohupJAABIKd1QX98t\nMd6im5/1FO5dTz/r7b6vm/e+gdjFjnXzNfdK5t719DUPVg51b1Gl+nu+qAOnbE/Vks9SuB9d/SFN\nQNIV5vVGCNEihNgshNgZ9nBFISoH0Bu2bxpqWCKE3n7WkcS9e+npZ329DDwkZIQaeo4oPaPDrzmQ\n4L176elrDkDVbJTL5DV5pfR7Xi91nFIV65NWl+a5hSDp+xFCtAAQUN2+BT3+n4CkK8zrzGDwL1Eh\nxEkhRG2h/mKVUjqFEOvDdtcB2BPldF39rCd57wD087Me1nOyDcCuGN/DuvqaA0ndOwD9fM0Bf35X\nzJ6mICn9ni/2wCmrU7XkuWTvR1d/SBMwHWVfrP/QdSfK19UFwAwgaoJlIQgehhFCbANwTEr5eJRT\n9faznsy9Azr7WfcOVW6BCggeiHGa7r7mQML3Dujsaw7ALKW0JnBeSr/ni3qoDsl90vT2hzSp+1nm\nD6leJVVhXk+EENVCiPDvj1kAJi3ak2lCiHIAm6WUm2Kcorefdb8E7l13P+tSSreU0gJVgmZCCFEa\n5TRdfs0TvHddfc29weKxBE9P6fd8sQdOWZuqpQAkfD96/0MajWSF+V1h2+UISjAucL0AWpc5rref\n9WDL3rvefta9QzYA/AnSswCiPWavu695oveut685VMmVJm9uZifUcGuzEGJr+Imp/p4v6sApmU+a\n3v6QpnA/ev5DCqC4K8wH37v3l2x50LFyqHsv2GE6H+8v0l7ff9jRkt719rPuk8i9e+niZ92b8B0t\nzyUiQNLb1zyZe/fSxdccAKSUNilln3exQAW/o77fX5n4PV/sOU6A95MWlAMQMlULoJIr451boBK6\ndyml2/vHE95jBfuH1HtfbVD1PSqEEINSyj7v4TYAZQB2eLe3Aej2PpFSD6A9/HqFJMl7t3r/0ALq\nD0ghP10EQD1lA1XMc8b737gJ6r9Tp95/1hO9dz39rEP9wQwPCKqhahbp/fd7wveus695CO/vsEYA\n1UKIaSnlMDLwe77oK4eLIp6qJYV791UeNgLYq6NaH6RzQbWMfL/whHe9WUo5puef9RTvXRc/696e\nlxoAHqhAcdT7x7MYfr8ne++6+JrnQtEHTkRERESJKuocJyIiIqJkMHAiIiIiShADJyIiIqIEMXAi\nIiIiShADJyIiL++TSEREMfGpOiIiLyHEuJSyYCd2JaLsYwFMIipIQfWJTkEVd5yGqlHkq0czBFU9\n2QBVm6YWwLZYhf28vU2jQdsZvT4R6QN7nIioIHmL+L0qpfx62P4lACNSyg+H7R8E0B+rGrQQ4hCA\nXb7Cf5m+PhHpA3OciKhQlUUJamq9q/Yo5x8DMB7tQt7KydVh1ZIzdn0i0g8GTkRUcLxzbQ1FOdQE\nNZ1ItMAGvgluozAD6M/i9YlIJ5jjRESFSMYYEmsGMBtjjrGowY5XK4AtWbw+EekEe5yIqOAsM/lq\nSIJ3Iu/xJoHL4N6iTF6fiPSFgRMR6YJ3eA1IvudnC4KG6bJw/f/f3h3cxBEEUQCtisA4BDsDixSw\nuFtCRIBwAjgHSwRgOQd8Rw4BJCKwBQE4hvJheyQOsPQuY3m3573bjGZKffzqqpkGBqJVB4ziY6yZ\nP1rjtPPfTdvWBwZixwkYxTR/dN/7QttFuvlX9YHxCE7AKJ6dP1rjPJ7+em6u+sBgtOqAvfeK+aPD\nqvo8V/323GFE/I6It1V1teF6gB0nOAEjmOaPuneE2hErvUHrxfqZeRQRZ1V12q7/RITgBIMRnIAR\nTPNHDxu8cx4RX2as/y1W7bzJuw3WAuwJwQnYS5l5FqtA8z4iPrR717Fqk31dN8T9zBErW9dvLbp6\nHKz8RRzG5JBfYHFaKHpTVZcz1jua2nTAuHxVByzRSUR8n7HebUQcPL6RmZ9mrA/sCK06YFGeOmLl\ntarqLjN/trCUrf6PueoDu0OrDliUzLyIiF+CDbANwQlYlMy8rqrj/70OYD8JTgAAnQyHAwB0EpwA\nADoJTgAAnQQnAIBOghMAQCfBCQCgk+AEANBJcAIA6PQXK3ATJvSCL6MAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f9ebe20fa58>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"figsize(xfig_meret,yfig_meret)\n",
"\n",
"plot(Tlist_up,cV_up,label='$C_V, \\,\\, T>T_c$',lw=3,color='red')\n",
"\n",
"plot(Tlist_down,cV_down,label='$C_V, \\,\\, T<T_c$',lw=3,color='blue',ls='--')\n",
"plot(Tlist_egybe,CVklassz,color='black',linestyle='dotted',label=r'$C_V^{\\mathrm{klassz}}$')\n",
"\n",
"legend(loc='lower right',fontsize=legend_meret)\n",
"\n",
"annotate(r'$\\frac{15\\,\\zeta(5/2)}{4\\,\\zeta(3/2)} \\approx 1.926$', \n",
" xy=(1.1,1.926), xytext=(2.3, 1.94),\n",
" arrowprops=dict(color='green',width=.5),fontsize=legend_meret)\n",
"axvline(x=1.0, ymin=0.0, ymax = 20, linewidth=2, ls='dotted', color='k')\n",
"\n",
"xlabel('${T}/{T_c}$',fontsize=xylabel_meret)\n",
"ylabel(r'$\\frac{C_V}{N k_B}$',fontsize=xylabel_meret,rotation ='horizontal') # Kell a 'r' az elejen!!!!\n",
"xticks(fontsize=xyticks_meret)\n",
"yticks(fontsize=xyticks_meret);\n",
"\n",
"ylim(0,2.3)\n",
"ax = gca()\n",
"ax.yaxis.set_label_coords(-.1, 0.53) # ylabel position \n",
"\n",
"savefig('Fig_Bose_gas/fig_Bose-gaz_40.eps',pad_inches=0.0,bbox_inches='tight'); # Abra kimentese"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"## $\\frac{\\partial C_V(T)}{\\partial T}$ hőmérsékletfüggése:\n",
"\n",
"\n",
"\\begin{equation}\n",
"\\label{eq:cV_deriv} \n",
"\\frac{\\partial C_V(T)}{\\partial T} = \\, \\begin{cases}\n",
"\\frac{Nk_{\\mathrm{B}}}{T}\\, \\left(\n",
"\\frac{45}{8}\\,\\frac{g_{5/2}(z)}{g_{3/2}(z)}\n",
"-\\frac{9}{4}\\,\\frac{g_{3/2}(z)}{g_{1/2}(z)}\n",
"-\\frac{27}{8}\\,\\frac{{\\left[g_{3/2}(z)\\right]}^{2} g_{-1/2}(z)}{\\left[g_{1/2}(z)\\right]^{3}}\\right), &T>T_c,\\\\[2ex]\n",
"\\frac{Nk_{\\mathrm{B}}}{T_c} \\, \n",
"\\frac{45 \\zeta(5/2)}{8 \\zeta(3/2)}\\, \n",
"\\left(\\frac{T}{T_c}\\right)^{{\\scriptscriptstyle 1/2}}, &T<T_c .\n",
"\\end{cases}\n",
"\\end{equation}"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"\\begin{equation}\n",
"\\label{eq:CV-ugras}\n",
"\\left. \\frac{\\partial C_V}{\\partial T}\\right|_{T=T_c-0}\n",
"-\\left. \\frac{\\partial C_V}{\\partial T}\\right|_{T=T_c+0}\n",
"= \\frac{27}{16\\pi}\\, \\frac{Nk_{\\mathrm{B}}}{T_c}\\, {\\left[\\zeta\\left(\\frac{3}{2}\\right)\\right]}^2 \n",
"\\approx 3.666\\, \\frac{Nk_{\\mathrm{B}}}{T_c}\n",
"\\end{equation}"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"data": {
"image/png": 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pigIhhCl/QS/gqPcYfeITn8h4re7ubuzfvx/BYBALCwvG+msulwvhcNgIuHIFaETZMCgi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\nQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f9ebe193f28>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"figsize(xfig_meret,yfig_meret)\n",
"\n",
"plot(Tlist_up,cV_deriv_up,label=r'$\\frac{\\partial c_V(T)}{\\partial T}, \\,\\, T>T_c$',lw=3,color='red')\n",
"\n",
"plot(Tlist_down,cV_deriv_down,label=r'$\\frac{\\partial c_V(T)}{\\partial T}, \\,\\, T<T_c$',lw=3,color='blue',ls='--')\n",
"\n",
"legend_meret1=0.8*legend_meret\n",
"legend(loc='upper right',fontsize=legend_meret1)\n",
"\n",
"annotate(r'$\\frac{45\\,\\zeta(5/2)}{8\\,\\zeta(3/2)} \\approx 2.889 $', xy=(1.1,1.), \n",
" xytext=(1.2, 3.),fontsize=legend_meret1)\n",
"\n",
"annotate(r'$\\frac{9}{16}\\, {\\left[-\\frac{3}{\\pi}\\, \\zeta(3/2)^2+\\frac{10 \\zeta(5/2)}{\\zeta(3/2)}\\right]} \\approx -0.777 $', xy=(1.1,1.), \n",
" xytext=(1.8, -0.65),fontsize=legend_meret1)\n",
"\n",
"axvline(x=1.0, ymin=0.0, ymax = 20, linewidth=2, ls='dotted', color='k')\n",
"axhline(y=2.8885, xmin=0, xmax = 2, linewidth=2, ls='dashed', color='k')\n",
"axhline(y=0, xmin=0, xmax = 2, linewidth=1, ls='-', color='k')\n",
"axhline(y=-0.777261, xmin=0, xmax = 2, linewidth=2, ls='dashed', color='k')\n",
"\n",
"\n",
"xlabel('${T}/{T_c}$',fontsize=xylabel_meret)\n",
"ylabel(r'$\\frac{T_c}{Nk_{\\mathrm{B}}}\\, \\frac{\\partial c_V(T)}{\\partial T}$',\n",
" fontsize=xylabel_meret,rotation ='vertical') # Kell a 'r' az elejen!!!!\n",
"xticks(fontsize=xyticks_meret)\n",
"yticks(fontsize=xyticks_meret);\n",
"\n",
"xlim(0,4)\n",
"ylim(-1,3.6)\n",
"ax = gca()\n",
"ax.yaxis.set_label_coords(-.05, 0.45) # ylabel position \n",
"\n",
"savefig('Fig_Bose_gas/fig_Bose-gaz_45.eps',pad_inches=0.0,bbox_inches='tight'); # Abra kimentese"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"## Az állandó nyomáson vett fajhő hőmérsékletfüggése:\n",
"\\begin{equation}\n",
"\\label{eq:Cp}\n",
"\\frac{C_{p}(T)}{Nk_{\\mathrm{B}}}=\\frac{25}{4}\\,\n",
"\\frac{{\\left[g_{3/2}(z)\\right]}^{2} g_{1/2}(z)}{\\left[g_{3/2}(z)\\right]^{3}}\n",
"-\\frac{15}{4}\\,\\frac{g_{5/2}(z)}{g_{3/2}(z)},\\;T>T_{c}\n",
"\\end{equation}\n",
"\n",
"$T <T_c$ esetén a $c_p$ fajhő nincs értelmezve, mert ekkor $p =$ állandó, és így $T=$ állandó"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"data": {
"image/png": 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Av3nzTamxUXrsMbfd0iLt2iX5vfULACaBGiIgbM44Q/rWt6SK2Nu3t1f69rc9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\nQOiREAEAgNAjIQIAAKFHQgQAAELv/wNNYTPJ41t3PQAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f9ebe15f2e8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"figsize(xfig_meret,yfig_meret)\n",
"\n",
"plot(Tlist_up,cp_up,label='$C_p, \\,\\, T>T_c$',lw=3,color='red')\n",
"\n",
"plot(Tlist_egybe,Cpklassz,color='black',linestyle='dashed',label=r'$C_p^{\\mathrm{klassz}}$')\n",
"\n",
"legend(loc='upper right',fontsize=legend_meret)\n",
"\n",
"annotate(r'$\\frac{5}{2} $', xy=(.5,2.4), xytext=(-0.25, 2.3),fontsize=legend_meret)\n",
"\n",
"axvline(x=1.0, ymin=0.0, ymax = 20, linewidth=2, ls='dotted', color='k')\n",
"\n",
"axhline(y=2.5, xmin=0, xmax = 4, linewidth=2, ls='dashed', color='k')\n",
"\n",
"\n",
"xlabel('${T}/{T_c}$',fontsize=xylabel_meret)\n",
"ylabel(r'$\\frac{C_p}{N k_B}$',fontsize=xylabel_meret,rotation ='horizontal') # Kell a 'r' az elejen!!!!\n",
"xticks(fontsize=xyticks_meret)\n",
"yticks(fontsize=xyticks_meret);\n",
"\n",
"ylim(0,10)\n",
"ax = gca()\n",
"ax.yaxis.set_label_coords(-0.08, 0.65); # ylabel position \n",
"\n",
"savefig('Fig_Bose_gas/fig_Bose-gaz_50.eps',pad_inches=0.0,bbox_inches='tight'); # Abra kimentese"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"## Adiabatikus kompresszibilitás hőmérsékletfüggése: \n",
"$\\kappa_S =-\\frac{1}{V}\\, \\left. \\frac{\\partial V}{\\partial p}\\right| _{S,N}$"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"\\begin{equation}\n",
"\\label{eq:kappa_S} \n",
"\\kappa_S(T) =\\frac{1}{n k_{\\mathrm{B}}T_c}\\, \\begin{cases}\n",
"\\frac{3 g_{3/2}(z)}{5 g_{5/2}(z)}\\, \n",
"\\left(\\frac{T}{T_{c}}\\right)^{{\\scriptscriptstyle -1}}&T>T_c\\\\[2ex]\n",
"\\frac{3 \\zeta(3/2)}{5 \\zeta(5/2)}\\, \\left(\\frac{T}{T_{c}}\\right)^{{\\scriptscriptstyle -5/2}}, &T<T_c ,\n",
"\\end{cases}\n",
"\\end{equation}\n",
"ahol $n=N/V$."
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"data": {
"image/png": 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/Pdh4AAColLwtO5nZzY9JOuKc6yt0AEHnXNo5F3fO9UpKmdlAmWJFGd133/z6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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f9ebe0705f8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"figsize(xfig_meret,yfig_meret)\n",
"\n",
"plot(Tlist_up,kappa_S_up,label=r'$\\kappa_S, \\,\\, T>T_c$',lw=3,color='red')\n",
"\n",
"plot(Tlist_down,kappa_S_down,label=r'$\\kappa_S, \\,\\, T<T_c$',lw=3,color='blue',ls='--')\n",
"\n",
"legend(loc='upper right',fontsize=legend_meret)\n",
"\n",
"annotate(r'$\\frac{3\\,\\zeta(3/2)}{5\\,\\zeta(5/2)} \\approx 1.17$', xy=(1.1,1.5), \n",
" xytext=(2.3, 1.6),fontsize=legend_meret)\n",
"\n",
"xlabel('${T}/{T_c}$',fontsize=xylabel_meret)\n",
"ylabel(r'$\\kappa_S(T)\\, n k_B T_c$',fontsize=xylabel_meret,rotation ='vertical') # Kell a 'r' az elejen!!!!\n",
"xticks(fontsize=xyticks_meret)\n",
"yticks(fontsize=xyticks_meret);\n",
"\n",
"axvline(x=1.0, ymin=0.0, ymax = 20, linewidth=2, ls='dotted', color='k')\n",
"axhline(y=1.17, xmin=0, xmax = 2, linewidth=2, ls='dashed', color='k')\n",
"\n",
"xlim(0,4)\n",
"ylim(0,10)\n",
"ax = gca()\n",
"ax.yaxis.set_label_coords(-.05, 0.45); # ylabel position \n",
"\n",
"savefig('Fig_Bose_gas/fig_Bose-gaz_55.eps',pad_inches=0.0,bbox_inches='tight'); # Abra kimentese\n"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"## Izotermikus kompresszibilitás hőmérsékletfüggése: \n",
"$\\kappa_T =-\\frac{1}{V}\\, \\left. \\frac{\\partial V}{\\partial p}\\right| _{T,N}$"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"\\begin{equation}\n",
"\\label{eq:kappa_T}\n",
"\\kappa_T(T) =\\frac{1}{n k_{\\mathrm{B}}T}\\, \n",
"\\frac{g_{1/2}(z)}{g_{3/2}(z)},\\;T>T_{c},\n",
"\\end{equation}\n",
"ahol $n= N/V$.\n",
"\n",
"$T <T_c$ esetén a $c_p$ fajhő nincs értelmezve, mert ekkor $p =$ állandó, és így $T=$ állandó"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"data": {
"image/png": 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TO3yfvyg5pqAT6nwi8RTXubECKioG1p96Kr7nFhGRpAkZdqy1R4wx6+IRUvw9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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f9ebe017208>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"figsize(xfig_meret,yfig_meret)\n",
"\n",
"kappaTklassz_fv=[1/x for x in Tlist_up] # alpha_klassz\n",
"nslice=70 \n",
"\n",
"kappaTklassz=kappaTklassz_fv[0:nslice+1] # az lista utolso 'nslice' darab tagjat tartja meg\n",
"Tapprox=Tlist_up[0:nslice+1] # az lista utolso 'nslice' darab tagjat tartja meg\n",
"\n",
"\n",
"plot(Tlist_up,kappa_T_up,label=r'$\\kappa_T, \\,\\, T>T_c$',lw=3,color='red')\n",
"\n",
"plot(Tapprox,kappaTklassz,color='black',linestyle='dashed',label=r'$\\kappa_T^{\\mathrm{klassz}}$')\n",
"\n",
"legend(loc='upper right',fontsize=legend_meret)\n",
"\n",
"axvline(x=1.0, ymin=0.0, ymax = 20, linewidth=2, ls='dotted', color='k')\n",
"\n",
"annotate(r'$\\kappa_T^{\\mathrm{klassz}}=\\frac{1}{T/T_c}$', \n",
" xy=(1.6,0.7), xytext=(.09, 2.),\n",
" arrowprops=dict(color='green',width=.3),fontsize=legend_meret)\n",
"\n",
"xlabel('${T}/{T_c}$',fontsize=xylabel_meret)\n",
"ylabel(r'$\\kappa_T(T)\\, n k_B T_c$',fontsize=xylabel_meret,rotation ='vertical') # Kell a 'r' az elejen!!!!\n",
"xticks(fontsize=xyticks_meret)\n",
"yticks(fontsize=xyticks_meret);\n",
"\n",
"xlim(0,4)\n",
"ylim(0,10)\n",
"ax = gca()\n",
"ax.yaxis.set_label_coords(-.05, 0.45); # ylabel position \n",
"\n",
"savefig('Fig_Bose_gas/fig_Bose-gaz_60.eps',pad_inches=0.0,bbox_inches='tight'); # Abra kimentese"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"## Hőtágulási együttható hőmérsékletfüggése:\n",
"$\\alpha_T =\\frac{1}{V}\\, \\left. \\frac{\\partial V}{\\partial T}\\right| _{p,N}$"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"\\begin{equation}\n",
"\\label{eq:alpha_T}\n",
"\\alpha_{T}(T) =\\frac{1}{T}\\, \\left(\\frac{5}{2}\\,\n",
"\\frac{g_{5/2}(z) g_{1/2}(z)}{\\left[g_{3/2}(z)\\right]^{2}}-\\frac{3}{2}\\right), \\;T>T_{c}\n",
"\\end{equation}\n",
"\n",
"$\\alpha_T^{\\mathrm{klassz}}(T) = 1/T$, magashőmérsékleti közelítés\n",
"\n",
"$T <T_c$ esetén a $c_p$ fajhő nincs értelmezve, mert ekkor $p =$ állandó, és így $T=$ állandó"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"data": {
"image/png": 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g3O9wVceni6SIT33KWWIB4OWXYdcud+sREYlDSR+qrLUea+1yoC6M0xtwglWm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\nAABABQRVAAAAFbwHWFYXZQGAg4gAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f9ebe2040f0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"alphaklassz_fv=[1/x for x in Tlist_up] # alpha_klassz\n",
"nslice=50 \n",
"\n",
"alphaklassz=alphaklassz_fv[0:nslice+1] # az lista utolso 'nslice' darab tagjat tartja meg\n",
"Tapprox=Tlist_up[0:nslice+1] # az lista utolso 'nslice' darab tagjat tartja meg\n",
"\n",
"figsize(xfig_meret,yfig_meret)\n",
"plot(Tlist_up,alpha_up,label=r'$\\alpha_T, \\,\\, T>T_c$',lw=3,color='red')\n",
"\n",
"plot(Tapprox,alphaklassz,color='black',linestyle='dashed',label=r'$\\alpha_T^{\\mathrm{klassz}}$')\n",
"\n",
"annotate(r'$\\alpha_T^{\\mathrm{klassz}}=\\frac{1}{T/T_c}$', \n",
" xy=(2.1,0.5), xytext=(0.07, 1.),\n",
" arrowprops=dict(color='green',width=.5),fontsize=legend_meret)\n",
"\n",
"legend(loc='upper right',fontsize=legend_meret)\n",
"\n",
"#axhline(y=1.17, xmin=0, xmax = 2, linewidth=2, ls='dashed', color='k')\n",
"axvline(x=1.0, ymin=0.0, ymax = 20, linewidth=2, ls='dotted', color='k')\n",
"\n",
"\n",
"xlabel('${T}/{T_c}$',fontsize=xylabel_meret)\n",
"ylabel(r'$\\alpha_T T_c$',fontsize=xylabel_meret,rotation ='horizontal') # Kell a 'r' az elejen!!!!\n",
"xticks(fontsize=xyticks_meret)\n",
"yticks(fontsize=xyticks_meret);\n",
"\n",
"xlim(0,4)\n",
"ylim(0,3)\n",
"ax = gca()\n",
"ax.yaxis.set_label_coords(-.1, 0.52); # ylabel position \n",
"\n",
"savefig('Fig_Bose_gas/fig_Bose-gaz_65.eps',pad_inches=0.0,bbox_inches='tight'); # Abra kimentese"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"## $\\frac{C_p}{C_V}$ hőmérsékletfüggése:\n",
"\n",
"\\begin{equation}\n",
"\\label{eq:CppCV}\n",
"\\frac{C_p}{C_V} = \\frac{5}{3}\\,\\frac{g_{5/2}(z) g_{1/2}(z)}{\\left[g_{3/2}(z)\\right]^{2}}, \\;T>T_{c}\n",
"\\end{equation}\n",
"\n",
"$T <T_c$ esetén a $c_p$ fajhő nincs értelmezve, mert ekkor $p =$ állandó, és így $T=$ állandó\n"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"data": {
"image/png": 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aiU4eEh2gRg4flr76VX9r+k9+Mvz5ceOkd7/bz6X13vf6Vh8AGCUSnTwkOslC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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f9ebe1db978>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"figsize(xfig_meret,yfig_meret)\n",
"\n",
"plot(Tlist_up,cp_cV_up,label=r'$\\frac{C_p}{C_V}, \\,\\, T>T_c$',lw=3,color='red')\n",
"\n",
"legend(loc='upper right',fontsize=legend_meret)\n",
"\n",
"axhline(y=1.666, xmin=0, xmax = 2, linewidth=2, ls='dashed', color='k')\n",
"axvline(x=1.0, ymin=0.0, ymax = 20, linewidth=2, ls='dotted', color='k')\n",
"annotate(r'$\\frac{5}{3}$', xy=(1.1,1.926), \n",
" xytext=(-.25, 1.5),fontsize=legend_meret)\n",
"\n",
"\n",
"xlabel('${T}/{T_c}$',fontsize=xylabel_meret)\n",
"ylabel(r'$\\frac{C_p}{C_V}$',fontsize=xylabel_meret,rotation ='horizontal') # Kell a 'r' az elejen!!!!\n",
"xticks(fontsize=xyticks_meret)\n",
"yticks(fontsize=xyticks_meret);\n",
"\n",
"xlim(0,4)\n",
"ylim(0,6)\n",
"ax = gca()\n",
"ax.yaxis.set_label_coords(-.07, 0.52) # ylabel position \n",
"\n",
"savefig('Fig_Bose_gas/fig_Bose-gaz_70.eps',pad_inches=0.0,bbox_inches='tight'); # Abra kimentese"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"## Hangsebesség hőmérsékletfüggése:\n",
"$v_{\\mathrm{hang}}(T) =\\sqrt{\\left. \\frac{\\partial p}{\\partial \\varrho}\\right|_{S,N}} \n",
"= \\sqrt{\\frac{V}{m N}\\, \\frac{1}{\\kappa_S}}$, ahol $\\varrho = m N/V$ a tömegsűrűség."
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"\\begin{equation}\n",
"\\label{eq:vhang_T} \n",
"\\frac{v_{\\mathrm{hang}}(T)}{\\sqrt{\\frac{k_{\\mathrm{B}}T_c}{m}}} = \\, \\begin{cases}\n",
"\\sqrt{\\frac{5 g_{5/2}(z)}{3 g_{3/2}(z)}\\,\\left(\\frac{T}{T_{c}}\\right)^{{\\scriptscriptstyle -1}}}, &T>T_c,\\\\[2ex]\n",
"\\sqrt{\\frac{5 \\zeta(5/2)}{3 \\zeta(3/2)}\\, \\left(\\frac{T}{T_{c}}\\right)^{{\\scriptscriptstyle -5/2}}}, &T<T_c .\n",
"\\end{cases}\n",
"\\end{equation}"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"data": {
"image/png": 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y2EknwfXXuz5e8+ZlJDwRSVwyivBDo18BFWE1XIeAydaxqMdNYR6PncIomUjW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\nMLJ/AYx3l5lqhfS+AAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f9ebde8aa20>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"figsize(xfig_meret,yfig_meret)\n",
"\n",
"plot(Tlist_up,vhang_up,label=r'$v_{\\mathrm{hang}}, \\,\\, T>T_c$',lw=3,color='red')\n",
"\n",
"plot(Tlist_down,vhang_down,label=r'$v_{\\mathrm{hang}}, \\,\\, T<T_c$',lw=3,color='blue',ls='--')\n",
"\n",
"legend(loc='upper left',fontsize=legend_meret)\n",
"\n",
"legend_meret1=0.8 * legend_meret\n",
"annotate(r'$\\sqrt{\\frac{5\\,\\zeta(5/2)}{3\\,\\zeta(3/2)}} \\approx 0.925$', xy=(1.1,1.), \n",
" xytext=(2., 1.),fontsize=legend_meret1)\n",
"\n",
"axvline(x=1.0, ymin=0.0, ymax = 20, linewidth=2, ls='dotted', color='k')\n",
"axhline(y=0.925, xmin=0, xmax = 2, linewidth=2, ls='dashed', color='k')\n",
"\n",
"\n",
"xlabel('${T}/{T_c}$',fontsize=xylabel_meret)\n",
"ylabel(r'$\\frac{v(T)}{\\sqrt{k_{\\mathrm{B}T_c}}}$',\n",
" fontsize=xylabel_meret,rotation ='horizontal') # Kell a 'r' az elejen!!!!\n",
"xticks(fontsize=xyticks_meret)\n",
"yticks(fontsize=xyticks_meret);\n",
"\n",
"\n",
"ylim(0,2.7)\n",
"ax = gca()\n",
"ax.yaxis.set_label_coords(-.12, 0.56) # ylabel position \n",
"\n",
"savefig('Fig_Bose_gas/fig_Bose-gaz_75.eps',pad_inches=0.0,bbox_inches='tight'); # Abra kimentese"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": true,
"deletable": true,
"editable": true
},
"source": [
"## Irodalom:\n",
"\n",
"\n",
"R. K. Pathria: Statistical Mechanics, 2nd Edition, 1996, Bunerworth-Heinemann Linacre House\n",
"\n",
"Linda E. Reichl: A Modern Course in Statistical Physics 2rd Edition, 1998, Wiley-VCH\n",
"\n",
"Franz Schwabl: Statistical Mechanics, 2000, Springer-Verlag, Berlin \n",
"\n",
"K. Huang: Statistical Mechanics, 2nd Edition, 1987, John Wiley & Sons"
]
}
],
"metadata": {
"hide_input": false,
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.4.3"
},
"latex_envs": {
"bibliofile": "biblio.bib",
"cite_by": "apalike",
"current_citInitial": 1,
"eqLabelWithNumbers": true,
"eqNumInitial": 0
}
},
"nbformat": 4,
"nbformat_minor": 0
}
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