{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "42dfaf90",
   "metadata": {},
   "source": [
    "<table style=\"width: 100%; border-style: none\">\n",
    "<tr style=\"border-style: none; background-color: #82a8cf\">\n",
    "<td style=\"border-style: none; width: 1%; text-align: left; font-size: 18px; color: #ffffff\">Institut f&uuml;r Theoretische Physik<br /> <font color=\"#e6e6e6\">Universit&auml;t zu K&ouml;ln </font></td>\n",
    "<td style=\"border-style: none; width: 1%; font-size: 16px\">&nbsp;</td>\n",
    "<td style=\"border-style: none; width: 1%; text-align: right; font-size: 18px; color: #ffffff\">Prof. Dr. Simon Trebst<br /> <font color=\"#e6e6e6\"> Christoph Berke </font> </td>\n",
    "</tr>\n",
    "</table>\n",
    "<hr  style=\"height: 2px; border-color: #606060; background-color: #606060\"> \n",
    "<h1 style=\"font-weight:200; text-align: center; margin: 0px; font-size: 48px; padding:0px; color: #606060\">Statistische Physik </h1>\n",
    "<h1 style=\"font-weight:light; text-align: center; margin: 10px; padding:0px; color: #606060\">&Uuml;bungsblatt 12</h1>\n",
    "<hr  style=\"height: 2px; border-color: #606060; background-color: #606060\"> \n",
    "<h3 style=\"font-weight:400; text-align: center; margin: 0px; font-size: 20px; padding:0px; margin-bottom: 20px; color: #606060\">Wintersemester 23/24</h3>\n",
    "\n",
    "\n",
    "<font size=\"4\" color=\"#606060\">**Website:** <a href=\"https://www.thp.uni-koeln.de/trebst/Lectures/2023-StatPhys.shtml\" style=\"color:#82a8cf; text-decoration: underline;text-decoration-style: dotted;\">https://www.thp.uni-koeln.de/trebst/Lectures/2023-StatPhys.shtml</a></font>\n",
    "\n",
    "<font size=\"4\" color=\"#606060\">**Abgabe**: <span style=\"color:#82a8cf\"> 15.01.2024, 10:00 Uhr </span> <span style=\"float:right;\">**Besprechung**: 16.01.2024 </span></font>\n",
    "\n",
    "<font size=\"4\" color=\"#606060\">**Wichtiger Hinweis:** <span style=\"color:#82a8cf\"> Geben Sie **nicht** Ihr Programm ab, sondern lediglich die geforderten Abbildungen. </span></font>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e94da5fc",
   "metadata": {},
   "source": [
    "<table style=\"border-style: none; width: 100%; background-color: #FFFFFF\"><tr style=\"border-style: none;\">\n",
    "<td style=\"border-style: none; width:3%; text-align: left; font-size: 25px; font-weight: 200;background-color: #FFFFFF\">Aufgabe 42: Gerichtete Perkolation </td>\n",
    "<td style=\"border-style: none; width: 1%; text-align: right; font-size: 15px;background-color: #FFFFFF\">[8 Punkte]</td></tr></table> "
   ]
  },
  {
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7LueSmkwmHT9+XCdOnNC5c+d082b9XgPu5+en0NDQ6vNhmzdvfkf3+VbE9QCg4dSM633Xc0kLCwurz4e9cOGCzGZzvW7XsmVL9ezZUxEREerdu/ddxVglySNeTVdzaCEhIRo/fvwd3f6TTz5xGNWTpEmTJjXKCcM7d+687XXu9Ou5UyEhIWrVqpWKiopqXda2bVu98MILbndMVFRU2HxsLRm7q759+6qwsFClpaUqLi6uV0APAABPMjg8WClvxHlNXO/CtSLFPL9SqX9ZoB6dOJkIAG7nyWmDJMlr4nqZN3yUdNJfcf0rVFFRobKyMg4CALDDz9dHib96yIviegalnPOTr49Bo7pU6ubNmzKbzYT1AKCBhIeHa86cObp06ZLGjRt3x7cvKirSV199pYMHD97V364qKyt19uxZnT17Vtu2bVOfPn00duxYh3/DLCoqsvsH6JKSEhYVABpQdHR09eNFjx497vj2Fy9e1O7du3Xy5EndzXtklpSUKD09Xenp6QoMDNSQIUM0ZswYuyFWi8Wi/Px8u4859Q2/AgAAAAAAoP7GDOiq5N/Fek1cL+tS/rfnw761QJ3bt+AAAIDbeDZ2hCR5TVwv47qPfAx+mtXXJJPp2/8AAHVrFuCrjb+Z5TVxPYukzVm+8vWRhnQyq6SkRGazmbAeADSQiIgIWSwWFRUVadSoUXd8+4KCAqWmpurw4cO12i71YTKZlJWVpaysLH322Wfq16+fHnjgAXXq1MnubQoLC+12VjgfFgAajsFg0NSpU2U0GjVw4MC76q2dP39eu3fvVlZW1l2dD2t9g+qjR4+qWbNmGjZsmEaNGlWvEKvN12KxuP9Lzi0Wiz788EMdOnRIjz766B0/cD/88MPasGGDw+usXLlSc+fObfD7PmjQIB05csThdbKysnTPPfc06gz//Oc/65e//KXNtk6dOmnFihWaMGGC2x0T77//vp544onqjzt27Khr16657THeqlUrFRcX3/Z6I0aM0Pz58yVJTz/9dJ3XGTZsmL7++mu+kwMA3NKhrByvietJUr/uHfTFn+erY5tmLD5cWlhYmLKzs222xcXFKSEhgeHAqd779LDXxPUkaVgXad1vF6hbt64sPgDchqmyyoviet++U+cTo1roLy/+QM2a8XwCAJpaRUWFdu3apb1799b7XdbuRO/evTVlyhS1b9++zssPHTqkjRs32vxRetSoUZo8eTKLAwAuIC8vT8nJycrMzGzwz+3r66uRI0dq3Lhx8vPzq3W5xWLRunXrdPTo0eptRqNRsbGx6tu3L4sDAAAAAADQSL5Mv+g1cT1JGtKrk3b+cZ5aNw9g8QGgHt5M2uc1cT1JGhtq0JrXHlNwcDCLDwC3cbO80mviepJk9JF+Pq6tXn/2cfn7+3MAAEATKysr044dO3TgwAG7kbvvon///po8ebLatGlT5+V79uzR1q1bbbZFRkYqJiaGxQEAF5CTk6Pk5GSdO9fwz1f8/Pw0ZswYjR07Vr6+vvW6jUeE9b6L3NxchYSEOHw3i7Zt2+ry5csKDAxs8H0HBQU5LCt269ZN33zzjVNmsXHjRq1cuVI3b97U6NGj9dhj7vvLSG8I6/n6+qpfv366//77NWTIEE2fPl29e/eWJCUmJiouLq7Oz0VYDwDg7rwtrhc1OFTbfh8no4+BxYfLIqwHV+Jtcb0//XCCnpk1nIUHgHrwtrhegJ9RX729UEN6dWLxAfz/7N13fFRV/v/x90wmvZBKKIGAlEgNJWDooQmISBcVUGyAi67ddf351d1Vdy2LBXcVXFAUXFFABVaahBoQBQRpIqF3CAkkISFtZn5/sMkaSYVMMjP39Xw8eDzI3Ds559zPnTkzmTPvixp08OBBLV68WBkZGQ5tx2KxqFevXurWrZtMpqv/jvTrcD1C9QDAOdjtdiUlJWndunUOCV79taCgIA0dOrTEizr+OlyPUD0AAAAAAIDqY7RwvSHxTbXoLyNlYjksAFSI0cL1Zj05SPcNbEvhAaACjBau5+/jqa3v3aMbG4RRfACoQfv27dN//vMfZWVlObQdT09P9e3bV507dy5xPeyvw/UI1QMA52Cz2bR27Vpt3LjRIcGrvxYSEqJhw4apYcOG5e5r+GC99957T1OmTClzn0mTJmn69OlV3vZXX32lESNGlLnP+PHj9cknn/AIqiR3C9ZbuHChJMnPz08RERGKiIhQnTp15O1d8tW6CNYDALg7o4XrvTShh54f25XCw2kRrAdnY6RwPU+LWeum3qUuLetTeACoAKOF6zWtF6Jt79+jID9vig8A1cxut2vNmjVKSkpSdX4ce8MNN2jkyJHy8/O7atv27duVkpKim2++mQIBQA3LysrSwoULdfjw4Wpr02QyqUePHkpISLhq0anNZtOiRYvUunXrogv6AQAAAAAAwPGMFq43bUo/PTKsI4UHgAoyUriej5dFm98dr9gbalN4AKgAo4XrtWkcoe/fvVu+3haKDwDVzGazaeXKlfr++++rtd0bb7xRw4YNKzFTZfPmzcrJyVFCQgIFAoAalpGRoQULFuj48ePV1qbZbFafPn3UtWvXEkNYi/YzenHmzJlT7j7jx493SNtr164td5/evXvzCIJGjhypkSNHatCgQYqLi1N0dHSpoXoAABhBuya1ter1OxQW5GuI8f7pkyRt/vkUhQeACnrwlljNeGygIa5unF9g09i/LVFWTj6FB4AK8LSY9fnzQzW8W3NDjPfAqQt67L1ECg8A1cxqtWrhwoXasGGDqvsaZ4cOHdLMmTOVlpZ21bb27dsTqgcATuDixYv66KOPqjVUT7oS+rp+/Xp98cUXKigoKLbNbDZr+PDhhOoBAAAAAABUs66t6mvZX0cb5mJpT3+wRrsOp1B4AKigp0Z31hsTjfH90py8Ao392xLlFVgpPABUgK+3RYv/MlL9OjQyxHh3HU7Rcx+uo/AAUM3y8/M1b968ag/Vk6R9+/Zp1qxZysjIuGpbfHw8oXoA4ATOnz+vDz/8sFpD9aQroa+rVq3SokWLZLPZSt3P0MF6Bw8e1ObNm8vcp1GjRuratatD2q9IsB6TOQAAQMmMFK5ntdk18a3lKrDaKDwAVJCRwvUOn0nXK//eRNEBoIKMFq43e+Uurf3pGIUHgGpitVo1b9487dmzp8b6cOHCBc2ePVsXLlygIADgZC5cuKAPP/xQqampNdaHffv26fPPPy9zMREAAAAAAACqj5HC9XLzrfrdtJWq5usSAYBLM1K43p4j5/Xmgi0UHQAqyGjheu9+vU3bD5yl8ABQTQoKCvTpp58qOTm5xvqQkpKi2bNnKzMzk4IAgJNJSUnRRx99pPT09Brrw08//aSFCxfKXsqHDoYO1ps3b165+4wdO1YmB3wLPy0tTbt27Spzn4YNG6px48Y8kgAAAEphpHC9XYdT9M/FP1J0AKgEI4XrTZ2/RT8fS6XoAFBBRgrXs9ulh//xrfILCM0AAMc/59r19ddf68CBAzXel8zMTM2dO1dZWVkUBgCcxKVLlzRnzhynWOh54MABff3116UuJgIAAAAAAED1MlK4XtLuE/r4210UHQAqwUjhei/N3aTDZ9IpOgBUkJHC9aw2uya9vUI2PucGAIez2WyaP3++jh49WuN9uXDhgubOnaucnBwKAwBOIj09XXPmzFF2dnaN92Xv3r1aunRpidsMHaz3+eefl7vPXXfd5ZC2169fX+4C5d69e/NIAgAAKIeRwvX+MmejMrPzKDoAVIJRwvXyCqx6/qP1FBwAKsFI4Xp7jpzXnFW7KToAONiGDRu0e7fzPN+mpaVp/vz5stkIVwWAmla42PTChQtO06ddu3Zp48aNFAcAAAAAAMBJGClc7/9mb1BuvpWiA0AlGCVcLzs3Xy/N5fMLAKgMI4XrbfnltL5K2k/RAcDBEhMTtX+/8zzfnjt3Tl9++SUXEQUAJ2C1WvX55587xUWmC23dulVbtmy56nbDBuvt3btXu3aVfYWjVq1aqWXLlg5pf+3ateXuk5CQwKMJAACgAgrD9fx9PN16nGmZOZrxzQ4KDgCVVBiu5+6+2rhfu4+kUHAAqITCcL0h8U3dfqx//ew7FVgJVgIARzl69GiFPv+jXwBgTGvWrNGxY8foFwAAAAAAAMpUGK7n42lx63GeSMnUJ99ycTgAqCyjhOvNTdyjI2fTKTgAVEJhuF7Ptg3cfqwvf7pJ5CoBgOMkJydr06ZNTtmv7777jgIBQA1bsWKFTp8+7XT9Wrlypc6cOVPsNsMG682fP7/cfUaPHu2w9gnWAwAAqFptGkcoJNDH7cc5dcEPyskroOAAUEnxLerJZHLvMdrt0mvzvqfYAFBJnhazurSs7/bjPHjqohas/4WCA4ADWK1WLVmyxGmvhJmUlHTVh8QAgOpz7tw5p1xsKkk2m02LFi2S1WqlUAAAAAAAAE6iQ7NI+ft6uv04X523WVYbaRgAUFldDbDOKb/Apr9/8QPFBoBK8vW26KYb67r9OHccPKflWw5RcABwxGvx/Hx98803Ttu/1atXKzU1lUIBQA05duyYtmzZ4pR9Kygo0OLFi4t9p8OwwXqLFy8udx9HBeulpaVp586dZe4THR2tRo0a8YgCAACooFU/HtGJlEy3H+eZtCz9Z/NBCg4AlTRz2U+GuCrZgg2/6OKlXAoOAJU0e+UuQ4zzX0t/otgA4ACbNm1y6oU6drtdS5cuddrgPwBwZ3a7XUuWLJHNZnPaPqalpXE1ZwAAAAAAACey+LsDSs247PbjPHT6olZvP0rBAaCSPli6wxDjnLNqjy7nFlBwAKiEAqtNc1btMcRYWQ8LAI6xdu1apaenO23/rFarVqxYQaEAoAbY7XanDl+VpNOnT2vr1q1FPxsyWO/48eP68ccfy9ynefPmatmypUPaX79+fblfXOnduzePKAAAgEqYs2o3YwUAlKjAatPna/cZYqw5eQWav34fRQeASti454T2n0gzxFjX/nRMx1MyKDoAVKHc3Fxt2rTJ6ft5/PhxHTzIxRoAoLodOHBAJ06ccPp+JiUlKScnh4IBAAAAAAA4AdbDAgBKk5WTry+T9htirBnZuVqy+QBFB4BKWLH1sM6kZRlirN98f9AQgeQAUK3vN7Ky9MMPPzh9P5OTk3X8+HEKBgDVbPfu3Tp37pzT93P9+vUqKLhysQZDButVJP1w8ODBDmt/7dq15e6TkJDAIwoAAKCCsnLy9VVSsmHGu2zLIf74DwCVsGLrYZ29kGWY8c41yFXmAKCqfJq41zBjtdnt+mz1zxQdAKrQli1bXCaIaP369RQMAKrZhg0bXKKfubm5xa7SCQAAAAAAgJpxPv2yVmw9bJjxfpm0X9m5+RQeACpo0aZkZWbnGWa8rIcFgMox0nrYvAKrFqz/haIDQBXavHlzURCRs3OVNVkA4C7sdruSkpJcoq+XLl3Sjh07JBk0WC8xMbHcfdwxWO/8+fP69ttvNW3aND366KN6/fXXtXjxYh06dIhHMAAAcGkbdh031MKa/AKbVu84SuEBoIKMtNhUkjbtPamM7FwKDwDME4wXABzMbrfrxx9/dJn+Hj9+3CWuEgcA7iIlJcWlro68detW2e12CgcAAAAAAFCDErcfUX6BzTDjzcrJV9LuExQeACrIaOt+ErcfVV6BlcIDQAXY7TbuIJAAACAASURBVNK3P7IeFgBwbWw2m7Zv3+4y/T1w4IAyMjIoHABUE1f7HkLhhaYNF6xnt9u1Zs2aMvfx8/NTjx49HNJ+Wlqadu7cWeY+jRs3VnR0dJW1eeLECT3yyCOKiorSzTffrEcffVTTpk3TH/7wBw0dOlRNmjTRiBEjtGcPV/AAAACuac1Px4w35h3HKDwAVJDRwkgLrDZt2MWCUwCoiGPnMnTo9EVDjXnT3pO6nFtA8QGgKuaRY8d04cIFl+pzeZ9TAgCqTuEVL11Fenq6SwUBAgAAAAAAuCPWwwIAyrLWYPNEdm6+fth3msIDQAXsPHxO59MvG+z901FZbVw8DgCqwoEDB5SVleUy/bXb7ayHBYDqfL/hYs+5Z8+e1dmzZ40XrLd3716lpqaWuU+XLl3k5eXlkPbXr19f7hW+ExISqqy9mTNnqmnTpvrHP/6h3NzcUvf76quv1LZtW/3xj3/k0QwAAFzOup+M90UvFhIBQMWkpGdr79Hzhhv32p+YJwCA19Uly8kr0OafT1F8AKgCv/zyC30GADBPAAAAAAAAoMqwHhYAUJqDpy7q2LkM5gkAQImM+P2Bi5dy9dPBcxQfAKrAvn37XK7PrHMCgOqzf/9+l5wnDBest3379nL36dWrl+PemK5dW+4+vXv3vu52bDabnn76aT344INFgXrR0dH685//rGXLlmnHjh16/vnnr7rPq6++qpdeeolHNAAAcBl2u7THgIFJ+0+kKSevgBMAAMqx+/B52Q14EbJdh1MoPgDwfFn6/HiEeQIAqsLhw4cd8nvtDnwTc/78eWVmZlI8AHCwS5culXvRRyPNbQAAAAAAAChfbr5VySfTDDfu3UdSDLm+CwAqi3VOAADmCeYJAHAUV1wzdOrUqaIsHQCA47jq9w8OHz5svGC9n376qdx94uPjHdZ+RYL1qiLY79lnn9Xf//53SZLJZNJzzz2n5ORkvfDCCxo4cKBiY2P10ksvldjWX/7yF5dMFAYAAMZ04nyGLl3OM9y4bXa7Dp66yAkAAOX45USqIce9/0QaxQcAni8ZNwA4UH5+vs6ePeuQ320ymRwarnf8+HEKCAAOduzYMZfs95kzZ5Sfn08BAQAAAAAAakDyyTRZbcZLmMvKydfJ81wUCADKw3pYAADPl4wbABzh0qVLunix6r+rbHfwlRRsNptOnjxJAQHAwVz1uwcnTpwwXrDeqVOnyt2nXbt2Dmk7LS1NO3fuLHOfG264QQ0bNryudubOnas33nhDkmQ2mzVnzhy98sor8vT0vGrfTp06XXVbQUGBZs2axSMbAAC4hP0nLhh37Cf54z8AlCf5pDHniaNnM5STV8AJAAC8pi7RLywkAoDrlpqa6tBFP44M10tNTaWAAOBg58+fd8l+2+12paXxfgEAAAAAAKAmGHWdk8Rn2ADAPFG6/ScuyG6n/gBQkedL3ksAAK6FI9Y52e12mUwmh/ed9bAA4JrzRHUoKCiQxWjFKm9ijIyMVEREhEPaXrNmTblfgOndu/d1tXH48GFNnDix6OepU6dq7Nixpe7v4eFR4u0bN27kkQ381/PPP681a9ZwIADAWV+Me9STvOMMOfann/uT/l5wlJMANe7s2bNX3bZq1Sp169aNg4Mal+zVXrI0MNy4bXa7evQZIC97DicBAJThoO9AyeRluHFv2vKTunWbxgkAANehTp06atu2rUPbKAzXq+rFRXPnztWzzz5LEQHAgVq3bq169eq5ZN8feuihEv/mCzirRo0a6ciRI07fzw8++ECtWrVy6j5u2bJFjz32mNMfy/fee0+xsbFO3ccdO3ZoypQpTn8s33nnHcXFOfdn7Xv27Cm2HtJZTZ06VfHx8TwpAwAA4LqkXMw27NjPp2dzAgAA80SJsnPzlZ2bL38fT04CACiF3W7c19RGfh8FAFWlqi/CWV2hehLBegDgivNEdTJcsF55KYh169Z1WNsrV64sd5+EhITrauORRx7R5cuXJUkDBgwod7Hj4cOHS7z91KlTPLKB/9q3b582bdrEgQAAZ1W/k9TCmMF6B4+e0MGjzFFw3vderppCDzcT20SKMObQt27fJWWncA4AQFn6DJZMxht2Vm4Bf+8CgOsUFxfn8GA9SQ5ZXJSZmck8AAAOFh0d7bJ9P3bsmLZt20YR4TLy8vK0detWp+9nZmam0/fx4sWLLvE6MT093SX66ArH8uLFi07fx4yMDJc4lq68iBgAAABO9N7xch5jBwDwXFnS2LPzCNYDgDJczsuX1WZnfgQAXNs88t98mqpS0rpXR4Xt5eTkUEAAcLF5ojqZjVas8hJnw8LCHNZ2YmJiuftcT7De8uXL9c0330iSPD09NX369HLvs3v37hJvDw8P55ENAABcg4c3YwcA8FxZEgvzBACUyWyRzB7MjwCAa+Ll5UXfAQBu+Vzr7c37BQAAAAAAgJqQmW3cQIiMLMIwAIB5oox5IjuXEwAAmCMYOwA4SF6eY59LHRWqJ0m5ubxXAABXmSfs9uoPAzdcsF55ibOOCtY7efKkDh48WOY+TZs2VVRU1DW38eqrrxb9/95771WjRo3K3P/QoUPau3dvidtiYmJ4ZAMAAAAAAAAAAAAAABhITSxeAgAAAAAAgLE56LvVAOBmz5Umxg4AAADApV5vsw4JAFCT84LhgvUCAgLK3B4eHu6Qdr/77rty90lISLjm3799+3atW7eu6Odnnnmm3Pt8+OGHpW4bNmwYj0YAAOAarLmMHQDAc2VJCpgnAKBMtgLJZmV+BABcE0dfoZO+AwDzBH0HAAAAAAAwlkA/L8YOAChVgK+ncecJX+YJAOD1NGMHAEfx9HTcew2TySSTyeSwICVvb28KCAAO5uVVNa+5C+eE6mQxWrGCg4PL3O7r6+uQdmfNmlXuPtcTrPfvf/+76P9dunRRkyZNytw/Pz+/1D6Fh4dr6NChPLKB/2rRooW6d+/OgQAAJ3Xeo572GXTsTRs1UJ0GzFGoeVu2bFFubvFwloiICMXExHBwUOP2e9bSOYOOvXPHWHnZczgJAKAMm01WFcjDcOMO8PFUO/7eBQDXJTIy0mX7HhgYyOceAOBgQUFBLtv36Ohoh62dARyhUaNG8vHx4XmhCoSEhLjE68RatWo5fR+Dg4Nd4liGhIS4xGPHFY5laGgoT8gAAAC4bkYODSIwCQB4rixz7IQmAUCZfL085WE2yWqzG27sQX4EKgHAdc8j1bBOyFFBSq6wXgQAmCdqjuGC9Zo1a6atW7eWuv3y5ctV3ubixYu1fPnycve7nmC9FStWFP3/rrvuKnf/RYsW6cyZMyVuu/vuu6ssLRJwBy+99BIHAQCc2OodR9X36XmGHPvrr7yo4d2acxKgxkVHR+vYsWPFbuvbt68+++wzDg5q3JMzVuvNBVsMN26zyaR1q5bJx8vCSQAAZWhx30ztO55quHF3jYvVildf4QQAgOtw5swZzZgxwyX7Pm7cOPXo0YMiAoADbdiwQatXr3bJvr/33nsuHSAL4NrFxcVpw4YNHIgqEBsby7GsIq1ateJYAgAAwDAigv0YOwCA58rf8PP2lJ+3JycAAJTBZLoyT5xJyzLc2MNrcdE4ALheYWFh9B0AUCpXvtik2WjFatWqVZnbU1Or9kuUKSkpmjRpUrn7NWvWTPXr17/mdgqTdENCQjRu3Lhy958+fXqp2+6//34e1QAAwGU0r2/cK7/HRHHVewBgnihZdGQQoXoAUAHN6ocYc36MCqH4AHCdwsLCHHYFTUcLDw+ngADAc22JTCaTSy+CAgAAAAAAcGWshwUAME+UMO6oELnoR/MAUK2Muh6W9xIAcP1ceU0p62EBgOfa0nh6espw37Du06dPmdv3799fZW1ZrVaNHz9eZ86cKXffhISE62pr2bJl2rhxo9q0aaPg4OAy901OTi71yuhdunRRy5Ytq/SYT5s2TZ988onOnDkjq9VaLXXOzs4u9nNqaqrq1q1bbeeZj4+PYmNj9frrr6t58+Y8SwIA4ED1wwMV4OulS5fzDDVuD7NJTeoRhgEA5YlpEGrQcXPFHQCo6DyxZDPzBACg8jw9PVWnTh2dPn3a5foeFRVFAQHAwRo0aOCS/a5bt648PT0pIAAAAAAAQA1oFhUiD7NJVpvdUOP29/FUvbBATgAAKAfrYQEAZT5fRoVpw64TzBMAgErz9/dXSEiILly44FL9NpvNqlevHgUEAAdz1fWwUVFRxgvWu+mmm1S7dm2dO3euxO179+5VVlaW/P39r7utRx55RCtWrKjQvr17976utsLCwnTbbbdVaN8ZM2bIbi/5g7ZJkyZV6fHeuHGjHn300Rqvu91ur1DAYVU6cuSIzp07p02bNvEsCQCAA5lMUutG4dr88ylDjbt5VKi8PT04AQCgHK0bRchkkuzGWm+qNo0jKD4A8HxZxvzIldkAoCo0btzY5YL1IiIiFBjIl9MAwNECAgIUHh6u8+fPu9zcBgAAAAAAgJrhZfFQ86hQ/Xws1VDjbtP4yvouAED5z5eMGwDA82VxrIcFgKrRuHFjlwvWq1+/vry9vSkeADhYeHi4AgMDlZmZ6XJzm9loxTKbzZo8eXKp23Nzc7V06dLrbuf555/X+++/X+H9e/XqVS3jz83N1ezZs0vcFhwcrNtvv71K2zt69KihnxyMPn4AAKpLQmxDw425d7uGFB4AKiC8lq9aNzLeh8S9Y5knAIDX1SXz8bLophu5MhsAVIWYmBj6DABgngAAAAAAAECVYT0sAKA0N9QNVnRkkPHmCdbDAgDvJUoRGuij2Ca1KT4AVAHWOQEA3HGeMBuxWI888ogiIkr/Uv3bb799zb/barVq4sSJeuWVVyp8n+bNm6tever5IuOCBQuUmlry1avGjx8vX1/fKm2vX79+atjQuH+8vP/++3l2BACgGhhxUU2fdtEUHgCYJ0pk8TCre+soCg8AFdAgIkhN6gUbaszdW0fJ19tC8QGgKuaRBg0UEhLiUn1u06YNhQOAahIbG+tS/Q0ODlZUFH9TAgAAAAAAqEmshwUAlMVooUkBvl7qFFOXwgNABbRpHKHawX4Ge/8ULbPJRPEBoAo0bdpUAQEBLtNfk8nEelgAqEZt27Z1qf7WqVNHtWvXliG/PRceHq7Zs2fr1ltvld1uv2r7pk2b9Mknn+juu++u1O89ePCg7r//fq1bt67YhFxSG8XeuPXuXW1jnz59eqnbJk6cWOXt1a5dW7t27dK6det05swZ2Wy2ahlnUlKS5s6dW/Szv7+/pk6dWm3H2dvbW7GxsWrfvj3PjgAAVIPuraPk7+OprJx8Q4zXy+Kh3iwkAoAKGxh3g6Z9tc1Q82KgnxeFB4BKzBP/XPyjYcY7IK4xRQeAKmIymdSxY0etWrXKJfrbsGFD1a7NVZoBoLpERESoYcOGOnbsmEv0Ny4uTia+dAAAAAAAAFCj+rSLlqfFrPwCmyHGG+DrpW6tuNgDAFTUwLgb9PHK3YYZb9/2V+ZFAED5TCapf8dG+jRxr2HGzHpYAKg6ZrNZ7du314YNG1yiv82aNVNQUBCFA4BqEhUVpcjISJ09e9Yl+hsXFydJxgzWk6RbbrlFTzzxRKlhaw888IACAgI0YsSIcn9XVlaW3n//fb344ovKzs4udpAbN26s+fPnl3n/hISEahnz7t27lZSUVOK2rl27qnXr1g5pNygoSEOGDKnW+loslmLBer6+vpo0aRLPVAAAuCk/b0+N6N5cc1btMcZr2ZtuUGigD4UHgArq37GR6oT660xaliHGO65vK4oOAJUwtm9LwwTrmU0m3ZHQgqIDQBXq1KmTkpKSlJOT4/R97dmzJwUDgGrWo0cPffrpp07fT19fX3Xq1ImCAQAAAAAA1LCwIF8N6nSDFn93wBDjHdmjuXy9LRQeACpoaNdmquXvrfSsXEOMl/WwAFA5Y/u0MkywnpfFQyO6N6foAFCFunTpou+//155eXlO39fu3btTMACoRiaTST169NCCBQucvq8BAQGKjY2VJBn6cg2vvvqqfv/735e4LT8/X6NGjdKoUaO0ZcsW2WzFr/aUlZWl77//Xr/73e9Ur149Pf3008VC9UaOHKl169Zpz57yw1169epVLeOdPn16qdsInQMAAK5ufL/WjBUAUCKLh9kwIUI+XhaN7BFD0QGgErq0rK+YBqGGGGuf9tGKigik6ABQhby8vFxigU50dLSaNGlCwQCgmjVt2lQNGzZ0+n52795dXl5eFAwAAAAAAMAJsB4WAFAaX2+LYUKEavl7a/BNfMYNAJVxc1xj1Q0NMMRYh3RpqrAgX4oOAFX5fsPXV507d3b6fsbExKhBgwYUDACqWcuWLVWnTh2n72dCQoIslisX9DF0sJ7FYtE777yjTz75RL6+V795stvtWrhwoTp37ixfX1/FxMSoc+fOqlOnjgICAhQfH6/3339fGRkZRfepW7euvvjiCy1YsEDp6enau7fsZPcbb7xRdevWdfhYs7KyNGfOnBK3BQcHa/To0TyCAQCAS+vbIVpN64W4/TjrhgbwATEAXIMHBsXKZHL/cQ7t2kzBAd4UHACuYZ4wxDhviaXYAOAA8fHxCg8Pd9r+mc1mDRo0iEIBQA259dZbZTY77/KciIgIxcfHUygAAAAAAAAnMaRLU0OEYTStF6Le7RpScACopImD2xlinGMSWsjX20LBAaASPMwm3TewjSHG+iDrYQHAIXr27Kng4GCn7Z/FYtHAgQMpFADUAJPJpCFDhsjkxF/Urlevnjp06FD0s5mySePHj1dycrIeffRR+fn5lbhPXl6e9u/fry1btujs2bNXbY+MjNQf/vAH/fzzz0UhdYmJieW2nZCQUC1jnD9/frEAwF+7++67SwwWBAAAcCVmk0nPjLnJ7cf51OjO8vb0oOAAUEkb95yQ3W53+3FuP3BG59MvU3AAqKSHhrRXeC33/xvpym2HZTPAfAgA1c3Dw0O33Xab04Ym9ezZU5GRkRQKAGpIRESEunfv7pR9M5vNTj2HAQAAAAAAGJG3p4eeGNXJ7cf57B3xMhvhSqkAUMU27DpuiHF+t+eULlzKoeAAUEmPj+ykAF8vtx/nym1HKDYAOICnp6duvfVWpw1N6tevn1MH/wGAu6tXr546d+7slH2zWCwaOnRosTmMlbH/Vb9+fb399ts6cuSIPvjgA40cOVIhISFl3icgIEC33Xabvv76a504cUKvvvqqatWq9b83ZStXltvuoEGDqmV8s2fPLnXbgw8+WO79CwoKlJ6ezokCAACc2oSb2yg6MshtxxcW5KuJg7miDgBU1gff7NDkd1ZIcv+FmPtPXFDfZz4jXA8AKsnfx1MPD+3o9uP8cNlOTXxrOeF6AOAADRo0UO/evZ2uX9HR0erZsycFAoAalpCQoMaNGztdv/r27auoqCgKBAAAAAAA4GQeGtJeEbX83HZ8DSKCNL5/KwoNAJX0xhff65l/rTXEWHcdOaf+z3xOuB4AVFJYkK8eGNTW7cf55oIf9OSM1RQcABygSZMm6tatm9P1q3nz5k4b5gQARnLzzTc75brTQYMGqXbt2sVuI1jvNyIiIvTggw9qwYIFSktL05kzZ5SUlKQvv/xSc+fO1eeff66VK1dq3759Sk9P16JFizR06FBZLJZivyc/P19Lliwps61atWppwIABDh/T4cOHtX79+hK3devWTa1bty7z/rm5uWrZsqWCg4M1efJkThIAAOC0PC1m/eWeHm47vj/f090QVw0CgKpUGKpnpPygnYdSCNcDgGvwxMhOqh8e6PbjnEW4HgA4TLdu3dSuXTun6U9oaKhGjx7ttFcOBQAjMZlMGjVqlMLCwpymT23atFGXLl0oDgAAAAAAgBPy9/HU/43r6rbj++v9PeVl8aDQAFAJRgrVK7Qt+QzhegBwDZ4f21VhQb5uP843F2whXA8AHKRPnz5q0aKF0/Sndu3aGj58OOthAcAJmM1m3X777apVq5bT9CkuLk4dOnS4uq+Uq2yRkZHq1q2bhg8frrFjx+r2229X//79FRMTI7O59MO3atUqXbx4sczfPXz4cHl7ezt8DB9//LHspXxJcuLEieXef+nSpUpOTpYkbd++nZMCAAA4tfH9Wqt3u4ZuN64OzSI1+db2FBgAKsGIoXqFCNcDgMoL9PPSGxMTDDFWwvUAwDFMJpOGDBmiZs2a1XhfgoKCNH78ePn7+1MYAHASfn5+GjdunIKCgmq8L82bN9ewYcNYbAoAAAAAAODEpgztoM431nW7cfVoE6WxfVpRYACoBCOG6hUiXA8AKi8syFcvTehhiLESrgcAjmEymTRixAg1atSoxvsSGhqq8ePHy8fHh8IAgJMIDAzUuHHj5OfnV+N9ad26tW655ZYStxGs5yDz588vd58xY8Y4vB8FBQX617/+VeK24OBgjR49utzf8eGHHxb9v2fPnhQXAAA4NZNJendKf3l7us+VLC0eZr3/+wHyMPMFNwCoKCOH6hUiXA8AKu/O3i11c8fGhhgr4XoA4Bhms1l33HGH2rVrV2N9CA8P13333afg4GAKAgBOJjg4WPfdd5/Cw8NrrA9t2rTRmDFjyryYJAAAAAAAAGqe2WTStCn9ZPFwn7/j+HhZNP3RAeJ6DwBQcUYO1StEuB4AVN6kW9spvkU9Q4yVcD0AcAyLxaJx48apZcuWNdaH2rVra8KECQoICKAgAOBkwsPD9cADDyg0NLTG+tCuXTsNHz681ItMs0rWAQoKCrRo0aIy9wkLC1O/fv0c3pdFixbp1KlTJW6bMGGCfH19y7z/oUOHtHTp0qKf77zzTgoMAACcXqtG4Zo6uY/bjOelCT3c8qqjAOAohOr9D+F6AFB5n/xhsOqGGuODV8L1AMAxzGazbrvtNvXq1avUD2kdpVmzZrrvvvtUq1atq7Zt375d33zzjew87wNAjapVq5buu+8+NW3atFrbNZlM6t27t4YPH35VqJ7dbteiRYv0yy+/UCAAAAAAAAAnctON9fTne7q7zXjenNxHLaPDKSwAVBChev9DuB4AVI7ZZNLnzw9VaKCPIcZLuB4AOIaHh4dGjhyprl27VnvbLVu21P3336/AwMCrtn333XdatWoVBQKAGhYSEqJ7771X0dHR1ft+x2zWzTffrKFDh5Z5kWmC9Rxg4cKFSktLK3OfcePGyWKxOLwv8+bNK3XbxIkTy73/e++9J5vNJknq2rWrOnToQIEBAIBLmHJbB93Zu6XLj6NPu2g9M+YmCgoAFUSo3tUI1wOAyokM8denfxwiD7PJEOMlXA8AHMNkMikhIUHjx48vMeSuqlksFvXv31933nlniRfW2r59u5Y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    }
   },
   "cell_type": "markdown",
   "id": "7d9b205b",
   "metadata": {},
   "source": [
    "Die **gerichtete Perkolation** ist ein einfaches Modell für ein poröses Material in einem Gravitationsfeld.\n",
    "Das Material wird &ndash; wie in der Abbildung unten illustriert &ndash; durch ein um den Winkel $\\tfrac{\\pi}{4}$ gedrehtes Quadratgitter modelliert. Die Poren / Kanäle entsprechen den diagonal verlaufenden Verbindungen zwischen den Gitterpunkten. Die Kanäle sind mit einer Wahrscheinlichkeit $p$ durchlässig. Eine Flüssigkeit, die auf die oberste Schicht des Materials gegeben wird, sickert auf Grund der Schwerkraft entlang der offenen Kanäle nach unten (blaue Verbindungen). Wir unterscheiden *nasse* und *trockene* Gitterpunkte, die in der Abbildung blau (= nass) und grau (= trocken) gezeichnet sind. Von einem trockenen Gitterpunkt kann keine Flüssigkeit in die nächstuntere Schicht sickern. Von einem nassen Gitterpunkt fließt Flüssigkeit zu den Nachbarn aus der nächsten Schicht, falls die entsprechenden Kanäle durchlässig sind.\n",
    "\n",
    "![perc.png](attachment:perc.png)\n",
    "\n",
    "Konkret sieht der Zusammenhang zwischen den Zeilen $i$ und $i+1$ damit so aus: Wir kodieren die Zustände eines Gitterpunktes mit $0$ (trocken) und $1$ (nass). Um den Wert $s$ des Gitterpunktes $(x_j, y_{i+1})$ zu berechnen, ziehen wir zunächst zwei uniform verteilte Zufallszahlen $z^+$ und $z^-$ aus dem Interall $[0,1]$. Dann gilt\n",
    "\n",
    "\\begin{align}\n",
    "    s(x_j,y_{i+1}) = \\begin{cases}\n",
    "        1, & \\text{wenn} ~~ s(x_{j-1},y_{i}) = 1 ~\\text{ und }~ z^- > p \\\\\n",
    "        1, & \\text{wenn} ~~ s(x_{j+1},y_{i}) = 1 ~\\text{ und }~ z^+ > p \\\\\n",
    "        0 & \\text{sonst}.\n",
    "    \\end{cases}\n",
    "\\end{align}\n",
    "\n",
    "Punkte am linken oder rechten Rand besitzen nur einen Nachbarn aus der vorherigen Reihe, sodass auch nur eine der beiden ersten Bedingungen überprüft werden kann."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "96d2637e",
   "metadata": {},
   "source": [
    "## a) Implementierung und Visualisierung der Update-Vorschrift\n",
    "\n",
    "Implementieren Sie die obige Update-Vorschrift. Beachten Sie, dass sich die Update-Vorschrift für $s(x_j,y_i)$ für gerade und ungerade Werte von $i$ unterscheidet: Entweder enthalten ungerade und gerade Zeilen unterschiedlich viele Punkte (obige Abbildung links) oder es muss jeweils ein anderer Randpunkt separat betrachtet werden, da er nur einen Nachbarn hat (Abbildung rechts). Es ist Ihnen überlassen, welche der Geometrien Sie betrachten.\n",
    "\n",
    "Betrachten Sie anschliessend eine Probe des porösen Materials, die aus $2000$ Reihen besteht ($y_1$ bis $y_{2000}$). Jede Reihe bestehe aus 1000 Gitterpunkte (rechte Geometrie), bzw. abwechselnd $1000$ und $999$ (linke Geometrie).\n",
    "Untersuchen Sie (mindestens) acht verschiedene Konfigurationen: Für vier verschiedene Werte von $p$ ($0.4$, $0.63$, $0.66$, $0.7$) sollen Sie jeweils zwei Anfangsbedingungen betrachten: Zunächst sei nur der mittlere Gitterpunkt der obersten Reihe *nass*, also $s(500,1)=1$. Danach werde für jeden Punkt der obersten Reihe zufällig zwischen *nass* und *trocken* entschieden. Führen Sie Ihr Programm mehrfach aus, um herauszufinden, wie für den jeweiligen $p$ Wert *typische* Konfigurationen aussehen. Geben Sie anschliessend eine Darstellung aller acht Konfigurationen in einem gemeinsamen Plot ab (siehe das Programmgerüst unten).\n",
    "\n",
    "*Hinweis:* Sie können die Materialprobe als $1000 \\times 2000$ Array modellieren und mittels `heatmap` darstellen. Sie müssen nicht berücksichtigen, dass gerade und ungerade Reihen zueinander versetzt sind. Wenn Sie sich für die linke Geometrie entscheiden, in der manche Reihen einen Gitterpunkt weniger haben, dann können Sie einfach den letzten Eintrag dieser Reihen des Arrays immer auf den Wert `0` setzen.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "211af14f",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Sie könnten z.B. zwei Funktionen definieren, die das Array new\n",
    "# gemäß der Konfiguration des Arrays old updaten.\n",
    "\n",
    "function step_even!(new, old, p)\n",
    "    # ...\n",
    "end\n",
    "\n",
    "function step_odd!(new, old, p)\n",
    "    # ...\n",
    "end "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "e713a5a3",
   "metadata": {},
   "outputs": [],
   "source": [
    "# So könnten Sie alle acht Konfigurationen in einem Plot darstellen.\n",
    "\n",
    "using CairoMakie\n",
    "\n",
    "# probabilities p\n",
    "ps = [0.4, 0.63, 0.66, 0.7]\n",
    "\n",
    "# Set up grid layout.\n",
    "f = Figure(resolution = (1200,630))\n",
    "ga = f[1,1] = GridLayout()\n",
    "ax = [Axis(ga[i,j], yreversed = true, aspect=1) for i in 1:2, j in 1:4]\n",
    "\n",
    "# Loop over all p values.\n",
    "for j in 1:4\n",
    "\n",
    "    init_condition_1 = rand(Bool, 10,10)\n",
    "    init_condition_2 = rand(Bool, 10,10)\n",
    "    \n",
    "    # Plot 2D configurations\n",
    "    ax[1,j].title = \"p=$(ps[j])\"\n",
    "    heatmap!(ax[1,j], init_condition_1, colormap = :binary)\n",
    "    heatmap!(ax[2,j], init_condition_2, colormap = :binary)\n",
    "end\n",
    "\n",
    "hidedecorations!.(ax)\n",
    "f"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ac453ad4",
   "metadata": {},
   "source": [
    "## b) Ordnungsparameter und Phasenübergang\n",
    "\n",
    "Kontinuierliche Phasenübergänge lassen sich durch einen **Ordnungsparameter** beschreiben, der nur in einer der beiden Phasen von $0$ verschieden ist. Eine sinnvolle Wahl für den Ordnungsparameter der gerichteten Perkolation ist die Größe\n",
    "\n",
    "\\begin{align}\n",
    "    n_s = \\langle \\lim_{i \\to \\infty} \\frac{1}{N} \\sum \\limits_{j=1}^N s(x_j,y_i)  \\rangle \\,,\n",
    "\\end{align}\n",
    "\n",
    "also der mittlere Anteil an nassen Gitterplätzen in sehr tief liegenden Schichten. Ist das Material makroskopisch gesehen undurchlässig, dann gilt offenbar $n_s = 0$. Approximieren Sie $n_s(p)$ für die vorgegebenen $p$-Werte, indem Sie für eine Zeile aus mindestens $500$ Gitterpunkten mindestens $1000$ Iterationen durchführen (also $1000$ Schichten untersuchen) und den Anteil an nassen Gitterpunkten in der untersten Schicht berechnen. Mitteln Sie Ihr Ergebnis über circa $100$ zufällige Anfangsbedingungen. Stellen Sie $n_s(p)$ dar. Bei welchem ungefähren Wert der Durchlässigkeit, $p_c$, wird $n_s$ erstmalig von $0$ verschieden?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "b128764b",
   "metadata": {},
   "outputs": [],
   "source": [
    "ps = range(0,1, length = 100)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "912d44f3",
   "metadata": {},
   "source": [
    "## c) Kritisches Verhalten um $p_C$\n",
    "\n",
    "Der kritische Wert der Durchlässigkeit, $p_C$, bei dem das System makroskopisch durchlässig wird, ist nur numerisch bekannt. Im hier betrachteten zweidimensionalen Fall gilt $p_c \\approx 0.6447001$. Jetzt soll das Verhalten von $n_s$ in der Nähe des Phasenübergangs genauer untersucht werden. Insbesondere sind wir daran interssiert, wie $n_s$ mit $p_c$ skaliert, also ob z.B. ein einfacher Zusammenhang wie $n_s \\sim |p - p_c|^\\beta$ gilt. Wiederholen Sie die Rechnung aus b) für die unten vorgegebenen Werte von $p$ in der Nähe des kritischen Punktes und finden Sie durch geeignete Darstellung das Skalierungsverhalten heraus."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "a5664562",
   "metadata": {},
   "outputs": [],
   "source": [
    "ps = range(0.645, 0.8, length = 100)"
   ]
  }
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