{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "## Calcolo dell'entropia configurazionale\n", "\n", "Fare riferimento alle slide della presentazione powerpoint termodinamica_12 per le spiegazioni sul tipo di calcoli che il programma esegue." ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "%run disorder.py" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "La funzione principale da utilizzarsi è *disorder* che accetta come argomenti: il numero totale di atomi e un valore del parametro d'ordine richiesto per considerare *ordinata* la configurazione; la keyword opzionale *prt* permette di stampare valori dettagliati della probabilità di ogni configurazione, dell'entropia corrispondente e del parametro d'ordine" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "nMg = 0, prob: 0.00 %, entropia 0.00, ordinamento 1.00\n", "nMg = 1, prob: 0.00 %, entropia 4.32, ordinamento 0.90\n", "nMg = 2, prob: 0.02 %, entropia 7.57, ordinamento 0.80\n", "nMg = 3, prob: 0.11 %, entropia 10.15, ordinamento 0.70\n", "nMg = 4, prob: 0.46 %, entropia 12.24, ordinamento 0.60\n", "nMg = 5, prob: 1.48 %, entropia 13.92, ordinamento 0.50\n", "nMg = 6, prob: 3.70 %, entropia 15.24, ordinamento 0.40\n", "nMg = 7, prob: 7.39 %, entropia 16.24, ordinamento 0.30\n", "nMg = 8, prob: 12.01 %, entropia 16.94, ordinamento 0.20\n", "nMg = 9, prob: 16.02 %, entropia 17.36, ordinamento 0.10\n", "nMg = 10, prob: 17.62 %, entropia 17.50, ordinamento 0.00\n", "nMg = 11, prob: 16.02 %, entropia 17.36, ordinamento 0.10\n", "nMg = 12, prob: 12.01 %, entropia 16.94, ordinamento 0.20\n", "nMg = 13, prob: 7.39 %, entropia 16.24, ordinamento 0.30\n", "nMg = 14, prob: 3.70 %, entropia 15.24, ordinamento 0.40\n", "nMg = 15, prob: 1.48 %, entropia 13.92, ordinamento 0.50\n", "nMg = 16, prob: 0.46 %, entropia 12.24, ordinamento 0.60\n", "nMg = 17, prob: 0.11 %, entropia 10.15, ordinamento 0.70\n", "nMg = 18, prob: 0.02 %, entropia 7.57, ordinamento 0.80\n", "nMg = 19, prob: 0.00 %, entropia 4.32, ordinamento 0.90\n", "nMg = 20, prob: 0.00 %, entropia 0.00, ordinamento 1.00\n", "\n", "Soglia per definire una configurazione ordinata 0.50\n", "Probabilità di avere una configurazione ordinata: 4.14 %\n", "Probabilità di avere una configurazione disordinata: 95.86 %\n" ] }, { "data": { "image/png": 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\n", 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "disorder(20,0.5,prt=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Per 100 atomi, e parametro d'ordine pari a 0.1, abbiamo:" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "Soglia per definire una configurazione ordinata 0.10\n", "Probabilità di avere una configurazione ordinata: 31.97 %\n", "Probabilità di avere una configurazione disordinata: 68.03 %\n" ] }, { "data": { "image/png": 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\n", 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "disorder(100,0.1,prt=False)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "La frazione molare corrispondente al grado d'ordine *limite* pari a 0.1 si ottiene usando la semplice funzione *fraction*:" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Frazione molare corrispondente al grado d'ordine 0.55\n" ] } ], "source": [ "fraction(0.1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Il risultato (0.55) ci dice che, con quel parametro d'ordine, consideriamo ordinata ogni configurazione per cui la frazione molare di uno dei due componenti è maggiore di 0.55 (0.5 corrisponde al caso totalmente disordinato, con parametro d'ordine uguale a 0). " ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "Soglia per definire una configurazione ordinata 0.10\n", "Probabilità di avere una configurazione ordinata: 2.54 %\n", "Probabilità di avere una configurazione disordinata: 97.46 %\n" ] }, { "data": { "image/png": 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\n", 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "disorder(500,0.1,prt=False)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Con 1000 atomi:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "Soglia per definire una configurazione ordinata 0.10\n", "Probabilità di avere una configurazione ordinata: 0.16 %\n", "Probabilità di avere una configurazione disordinata: 99.84 %\n" ] }, { "data": { "image/png": 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aSpZBaUqmTp1KV1dXzhGZjUyWLiYeIf0mb2a1JwI3DVnRZakR9AF3Svo5sKtWEBHn5BaVWYHVkgh815A1giyJ4Lr0ZWbUXiNwIrCiy3LX0DckTQQOTmc96GEqrZX19vYybdq0TGXb29vp6+sjIjJdXDYbC0NeI0g7h/sd8BWSEckeknRcznGZFVatNYKI4Nlnn805KrPhy9I09FngpIh4EEDSwcBVgMcrtpaUZeD6kvKuqKdMmZJnWGbDluWuoQmlJAAQEQ/hu4ishdV6sRjcFbUVW5YawUpJlwPfSqffAtyRX0hmxVZr01BpHbOiypII3gWcDZxD0gPpzSTXCsxaTkQ4EVjTyZIIxgNfjIjPAaSD1k/KNSqzgtq2bRv9/f1uGrKmkuUawc+B8qtcU4Cf5ROOWbHV0vNoeTnXCKzIsiSCyRGxtTSRvh96RA6zJuREYM0oSyLolfSS0oSko0h6CzVrOaUmniyjk5WXc9OQFVmWawTnAd+VtDadnge8Ob+QzIrLNQJrRlm6mLhd0guBQ0juGnrAXUxYq3IisGaUpUZA+sF/T86xmBVerYnATUPWCLJcIzCzVK2JoK2tjUmTJrlGYIXmRGBWg1oTQamsE4EV2aBNQ5JeGBEPlN8xVC4iVuUXllkxDScRlLqiNiuqatcI3g+8g6T30YECeFUuEZkVWOkD3TUCayaDJoKIeEf685WjF45ZsZU+0LM+RwBOBFZ81ZqG3lhtxYj4Xv3DMSu23t5eJk+ezLhx2S+vuWnIiq5a09BfpT/3Bo4FfpFOvxL4JeBEYC2nlp5HS6ZOnUp3d3dOEZmNXLWmobcDSPohsDgi1qXT80iGrTRrOcNNBF1dXTlFZDZyWeq3C0tJIPUkuweyN2spw0kEbhqyosvyZPEvJd1IMk5xAGcAK3KNyqyghlsj8MViK7IsfQ29R9IbgOPSWcsj4vv5hmVWTMOtETgRWJFl7Wvo+4A//K3l9fX1sffee9e0ztSpU+nr6yMikJRTZGbDl1sXE5KukPSUpIqd1SnxJUlrJK0e7AlmsyIZbtNQRPDss8/mFJXZyOTZ19DXgddUWX4ysCh9LQMuyzEWs7ro6elh2rRpNa1TKt/T05NHSGYjlikRSJoo6dD0NSHLOhFxM7CxSpHTgG9G4jZgZnprqllh9fT00NHRUdM6pfJOBFZUQyYCSScAvyN5duBS4CFJx1VdKZv5wONl013pvEoxLJO0UtLK9evX12HXZrWLCCcCa0pZLhZ/FjgpIh4EkHQwya2kR41w35WumkWlghGxHFgO0NnZWbGMWd6eeeYZ+vv7nQis6WRpGppQSgIAEfEQkKl5aAhdwH5l0wuAtYOUNRtzpQ9yJwJrNlkSwUpJl0s6IX19DbijDvu+Dvj79O6hY4DNA55gNisUJwJrVlmaht4FnA2cQ9KcczPJtYKqJF0FnADMkdQFXEhak4iIrwLXA6cAa4A+4O21h282epwIrFlVTQSS2oDLI+LvgM/VsuGIOHOI5UGSYMwaghOBNauqTUMRsROYK2niKMVjVlhOBNassjQN/R74X0nXAbs6TImImmoIZo1uuIlg/PjxTJ482YnACitLIlibvsYBtf0HmDWR4SaC0jpOBFZUWXof/QSApKkR4S4UrWU5EVizyvJk8RJJ9wH3p9OHSxryriGzZlP6IK+1ryFwIrBiy/IcwReAvwSeBoiIu9g9NoFZy+jp6aG9vZ22traa13UisCLL1OlcRDw+YNbOHGIxK7Th9DNU4kRgRZYlETwu6Vgg0l5IP0DaTGTWSpwIrFllSQTvJHnwaz5J/0BH4AfBrAU5EVizynLX0AbgLaMQi1mhORFYsxoyEUg6EHgvsLC8fEScml9YZsXT09PDvHnDGzupo6ODrVu30t/fz7hxeQ4MaFa7LA+UXQtcDvwA6M83HLPi6unp4eCDDx7WuqWaRG9v77BrFWZ5yZIIno2IL+UeiVnBjbRpaKTbMMtLlkTwRUkXAj8BtpVmRsSq3KIyK6B6JQKzosmSCP4MeCvwKnY3DUU6bdYS+vv7R9Ss40RgRZYlEbwBOCgitucdjFlRbd26FRheP0MA06dPB5wIrJiy3L5wFzAz70DMimzTpk0AzJw5vH+FGTNmALB58+a6xWRWL1lqBPsAD0i6nedfI/Dto9YyRpoISuuVtmNWJFkSwYW5R2FWcCNNBLNmzXredsyKJMuTxTeNRiBmRdbd3Q3s/kCv1fTp05G0aztmRZLlyeIekruEACYCE4DeiJieZ2BmRTLSGsG4ceOYPn26awRWSFlqBM+7TULS64GX5RaRWQGNNBGU1nUisCKqudOTiLgWP0NgLab0AV66DXQ4Zs2a5URghZSlaeiNZZPjgE52NxWZtYTu7m46OjoYPz7L/RWVzZw509cIrJCy/FX/Vdn7HcDvgdNyicasoDZt2jTsC8UlM2fO5OGHH65TRGb1k+UawdtHIxCzItu0adOIrg+ArxFYcQ2aCCRdUGW9iIiLcojHrJC6u7tHnAhmzZrlpiErpGoXi3srvACWAh/KsnFJr5H0oKQ1kj5cYfnbJK2XdGf6+sca4zcbFfWqEWzdupUdO3bUKSqz+hi0RhARny29l9QBnAu8Hbga+Oxg65Wt0wZ8BfgLkrGOb5d0XUTcN6DodyLiPcOI3WzU1CsRQNLf0F577VWPsMzqourto5JmS/oUsJokabwkIj4UEU9l2PbLgDUR8Ujac+nV+CKzNah6JgJfJ7CiGTQRSPo0cDvQA/xZRHw8Impp4JwPPF423ZXOG+ivJa2WdI2k/QaJZZmklZJWrl+/voYQzEbuueeeY8uWLcyePXtE2ymt//TTT9cjLLO6qVYjeD+wL/AvwFpJW9JXj6QtGbatCvMGPn/wA2BhRBwG/Az4RqUNRcTyiOiMiM65c+dm2LVZ/ZQ+uEf6t1daf8OGDSOOyayeql0jqPmp4wG6gPJv+AuAtQP2Uf7V6GvAxSPcp1ndlWqhc+bMGdF2Suu7VmtFM9IP+2puBxZJOlDSROAM4LryApLmlU2eCtyfYzxmw1L64K5XjcCJwIpm+M/LDyEidkh6D3Aj0AZcERH3SvoksDIirgPOkXQqyRPLG4G35RWP2XDVKxF0dHQwceJEJwIrnNwSAUBEXA9cP2DeBWXvPwJ8JM8YzEaq1KY/0kQgiTlz5vgagRVOnk1DZk2h9A2+Hvf+z5071zUCKxwnArMhrF+/nlmzZo2o59ESJwIrIicCsyFs2LBhxM1CJXPnznXTkBWOE4HZENavX1+3RDBnzhzXCKxwnAjMhlDPRDB37lw2b97M9u3b67I9s3pwIjAbwlNPPVW3RLD33nsDfpbAisWJwKyK7du389RTT7FgwYK6bG/+/KS7rSeeeKIu2zOrBycCsyrWrk16RSl9gI9UaTtdXV112Z5ZPTgRmFVR+uZerxpBaTuuEViROBGYVVH65l6vRDBnzhwmTpzoGoEVihOBWRWlD+x6NQ1JYv78+U4EVihOBGZVPPHEE0ydOpUZM2bUbZsLFixw05AVihOBWRVdXV3Mnz8fqdI4S8PjGoEVjROBWRWlRFBPCxYsoKuri4iBA/aZjQ0nArMqHnnkEQ488MC6bvOggw5i27Ztbh6ywnAiMBtET08PTz75JIsWLarrdg8++GAAHnroobpu12y4nAjMBrFmzRqAuieCQw45BIAHH3ywrts1Gy4nArNBlBLBC17wgrpud/78+bS3t7tGYIXhRGA2iPvuuw9Jda8RSOLggw92jcAKw4nAbBCrV69m0aJFtLe3133bhxxyiBOBFYYTgdkgVq9ezWGHHZbLtg8//HAeeeQRNm7cmMv2zWrhRGBWwebNm3n44Yc5/PDDc9n+McccA8BvfvObXLZvVgsnArMKbr31ViKCY489Npftd3Z2Mm7cOG677bZctm9WCycCswpuueUW2traOProo3PZfkdHB4ceeii33nprLts3q4UTgVkFN9xwA0cffTRTp07NbR/HHXcct9xyC319fbntwywLJwKzAR577DFWrVrFaaedlut+Xv/61/PMM89w44035rofs6E4EZgNcPnllyOJ008/Pdf9HHfcceyzzz5cccUVue7HbChOBGZlNm3axKWXXsopp5zCQQcdlOu+JkyYwLJly/jRj37EnXfemeu+zKrJNRFIeo2kByWtkfThCssnSfpOuvzXkhbmGY9ZNf39/Zx99tk8/fTTXHTRRaOyz/PPP5/Zs2dz1llnsWXLllHZp9lAuSUCSW3AV4CTgcXAmZIWDyi2FOiOiBcAnwcuzises8H09fVx0003cfLJJ3PllVdy0UUXceSRR47KvmfNmsWVV17Jvffey5IlS/j+979Pd3f3qOzbrGR8jtt+GbAmIh4BkHQ1cBpwX1mZ04CPp++vAS6RpMhhxI4bb7yR888/f4/5g+2qlvn12IZjGZtY+vv7d33wzpgxg0suuYR3v/vdFcvm5aSTTuL666/nHe94B2984xsBmDZtGjNmzGDSpElI2vUaN27c86attSxdupT3ve99dd9unolgPvB42XQXMPCm7F1lImKHpM3AXsCG8kKSlgHLAPbff/9hBTN9+nQOPfTQissG+4eqZX49tuFYxiaWefPmsXjxYl796lfT0dFRsUzeTjrpJB5++GFuuukmVq5cyR//+Ec2b97Mtm3biIiKL2s9++yzTy7bzTMRVPqvG/jXm6UMEbEcWA7Q2dk5rP+AJUuWsGTJkuGsajYqxo8fz4knnsiJJ5441qFYi8nzYnEXsF/Z9AJg7WBlJI0HZgDuhcvMbBTlmQhuBxZJOlDSROAM4LoBZa4Dzkrfnw78Io/rA2ZmNrjcmobSNv/3ADcCbcAVEXGvpE8CKyPiOuBy4FuS1pDUBM7IKx4zM6ssz2sERMT1wPUD5l1Q9v5Z4E15xmBmZtX5yWIzsxbnRGBm1uKcCMzMWpwTgZlZi1Oj3a0paT3wh2GuPocBTy23AB9za/Axt4aRHPMBETG30oKGSwQjIWllRHSOdRyjycfcGnzMrSGvY3bTkJlZi3MiMDNrca2WCJaPdQBjwMfcGnzMrSGXY26pawRmZranVqsRmJnZAE4EZmYtrmUSgaTXSHpQ0hpJHx7reOpF0n6SVki6X9K9ks5N58+W9FNJv0t/zkrnS9KX0t/DakkvGdsjGB5JbZJ+K+mH6fSBkn6dHu930q7PkTQpnV6TLl84lnEPl6SZkq6R9EB6rpe0wDk+P/2bvkfSVZImN9t5lnSFpKck3VM2r+bzKumstPzvJJ1VaV/VtEQikNQGfAU4GVgMnClp8dhGVTc7gPdHxIuAY4Cz02P7MPDziFgE/DydhuR3sCh9LQMuG/2Q6+Jc4P6y6YuBz6fH2w0sTecvBboj4gXA59NyjeiLwA0R8ULgcJJjb9pzLGk+cA7QGRGHknRlfwbNd56/DrxmwLyazquk2cCFJEMBvwy4sJQ8MhtsPNRmegFLgBvLpj8CfGSs48rpWP8b+AvgQWBeOm8e8GD6/t+BM8vK7yrXKC+S0e5+DrwK+CHJkKcbgPEDzzfJeBhL0vfj03Ia62Oo8XinA48OjLvJz3FpPPPZ6Xn7IfCXzXiegYXAPcM9r8CZwL+XzX9euSyvlqgRsPuPqqQrnddU0urwkcCvgX0iYh1A+nPvtFgz/C6+APwT0J9O7wVsiogd6XT5Me063nT55rR8IzkIWA/8R9oc9n8lTaWJz3FEPAF8BngMWEdy3u6guc9zSa3ndcTnu1USgSrMa6r7ZiVNA/4LOC8itlQrWmFew/wuJL0OeCoi7iifXaFoZFjWKMYDLwEui4gjgV52NxdU0vDHnDZtnAYcCOwLTCVpGhmomc7zUAY7xhEfe6skgi5gv7LpBcDaMYql7iRNIEkC346I76Wzn5Q0L10+D3gqnd/ov4uXA6dK+j1wNUnz0BeAmZJKI+6VH9Ou402XzyAZFrWRdAFdEfHrdPoaksTQrOcY4NXAoxGxPiKeA74HHEtzn+eSWs/riM93qySC24FF6R0HE0kuOl03xjHVhSSRjP18f0R8rmzRdUDp7oGzSK4dlOb/fXoHwjHA5lI1tBFExEciYkFELCQ5j7+IiLcAK4DT02IDj7f0ezg9LTH6Y40AAAZrSURBVN9Q3xQj4o/A45IOSWedCNxHk57j1GPAMZLa07/x0jE37XkuU+t5vRE4SdKstCZ1Ujovu7G+UDKKF2ROAR4CHgY+Otbx1PG4XkFSDVwN3Jm+TiFpH/058Lv05+y0vEjuoHoYuJvkrowxP45hHvsJwA/T9wcBvwHWAN8FJqXzJ6fTa9LlB4113MM81iOAlel5vhaY1eznGPgE8ABwD/AtYFKznWfgKpJrIM+RfLNfOpzzCvxDeuxrgLfXGoe7mDAza3Gt0jRkZmaDcCIwM2txTgRmZi3OicDMrMU5EZiZtTgnAmsakn4pqTN9f72kmTWse56k9jrF0SnpSxXmnyApJC0tm3dkOu8D9dh3lZi+Lun0oUuCpFOV9tAr6fW1dtCY9pD5sbLpj0r6Svr+TWmPov2lc2Vjz4nACqfsydFhi4hTImJTDaucB9QlEUTEyog4Z5DFdwNvLps+A7irHvutl4i4LiL+LZ18PUmPvbX4F+Dtkg6SdCDwj8BH02X3AG8Ebq5LsFYXTgS2B0kLlfR5/7X029tPJE1Jl5V/656TdvWApLdJulbSDyQ9Kuk9kt6XdpJ2W9pVLpL+VNINku6QdIukF6bzvy7pc5JWABenfbJfm/a7fpukwyrEOUXS1WmZ7wBTypb9XtKcCutcJmllelyfSOedQ9KfzYp0/0g6U9LdSvrCv7hs/a2SLk7j/5mkl6W/k0cknZqWOUHpOAkVPAZMlrRP+sTsa4Afl23/penx3Crp0yrrp76szAnpPkvjE3w73RaSjpJ0UxrfjUq7KhiMpHMk3Zfu8+qyc3mJpGOBU4FPS7ozPXdHpOdjtaTvq0J3x5H0dfVR4BKSB6AuKCXliLg/Ih6sFpONPicCG8wi4CsR8WJgE/DXGdY5FPhbkj7R/xXoi6STtFuBv0/LLAfeGxFHAR8ALi1b/2Dg1RHxfpKnSn8bEYcB/wx8s8L+3pXu47B0f0dliPGjEdEJHAYcL+mwiPgSSd8sr4yIV0ral6Q/+1eRPNH7UkmvT9efCvwyjb8H+BRJt99vAD6ZYf+Q9BX0JpK+c1YB28qW/QfwzohYAuysso0jSWoxi0metn25kj6nvgycnsZ3BcnvpZoPA0emv8N3li+IiF+RdGvwwYg4IiIeJjkPH0rL303SD/4eIuIqkqefp0fEt4aIwcbYiKvg1rQejYg70/d3kPSZPpQVEdED9EjaDPwgnX83cJiSHlKPBb6bfoGFpNuAku9GROnD7xWkyScifiFpL0kzImJzWfnjgC+lZVZLWp0hxr+RtIzkb38eyQfpwPVeSvJhvx5A0rfTfV0LbAduKDuubRHxnKS7yfY7AvhP4DvAC0m6GDg23c9MoCP9AAa4EnjdINv4TUR0pevdme57E0ky/mn6+20j6b6gmtXAtyVdmx7foCTNAGZGxE3prG+QdOtQqewC4E+AkDQtIrYOEYeNIScCG0z5t9Sd7G522cHumuTkKuv0l033k/ytjSPpT/6IQfbZW/Y+a9e6mftISdurPwC8NCK6JX2dPY9hsH2XPBe7+2XZdYwR0Z/12kZE/FHScyQ1iXNJE8EQ+x1o4PkZn65/b1qbyOq1JEnuVOBjkl5cw7rVfBH4OPAiklrDB+u0XcuBm4asVr9ndxNMprtQStK240clvQl2jcF6+CDFbwbekpY7AdgQe46zUF7mUJLmnmqmkySbzZL24fn92/cAHen7X5M0G81RMszpmcBN1NcFJE0su5p/IqKbpDZ1TDrrjBq3+SAwV9ISSLonr/bBLmkcsF9ErCAZ6GcmMG1AsV2/l7Q21i3pz9Nlb6XC70XSySSDqXwTuAh4g5pnaNim5ERgtfoM8C5JvwL2uBibwVuApZLuAu4lGXykko8DnWlzz7+xu1vecpcB09Iy/0TS6+SgIuIu4Lfpfq8A/rds8XLgx5JWRNK170dIujy+C1gVEf89cHsjERG/iohKTTFLgeWSbiX5hr+5QpnBtrmdJDlfnP5+72R3baOSNuD/pc1avyUZC3jgnVZXAx9UctH/T0nOw6fT3/kRDLguImkyyfgQ745EL8m5uSRd/gZJXSTDTP5IUm3dJVsu3PuoWYGUt6cruZd/XkScO8ZhWZPzNQKzYnmtpI+Q/G/+AXjb2IZjrcA1AjOzFudrBGZmLc6JwMysxTkRmJm1OCcCM7MW50RgZtbi/j/9aGuabbr/YQAAAABJRU5ErkJggg==\n", 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "disorder(1000,0.1,prt=False)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "I calcoli precedenti fanno tutti uso della funzione fattoriale di numpy *np.factorial*. Il fattoriale di un numero cresce molto rapidamente con il numero stesso; per valori di n > 1000 il calcolo non è possibile, per cui ci si limita al calcolo della sola entropia usando l'approssimazione di Stirling" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "n = 10000 troppo alto per il calcolo del fattoriale; si userà\n", "l'approssimazione di Stirling e verrà calcolata solo l'entropia\n", "\n" ] }, { "data": { "image/png": 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\n", 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