{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "name": "gruppo7.ipynb",
      "provenance": [],
      "collapsed_sections": []
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    },
    "language_info": {
      "name": "python"
    }
  },
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "ZHPr_2nsJiRd"
      },
      "source": [
        "# Setup "
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "HN4YZaeiKIqk"
      },
      "source": [
        "## Download scripts and results"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "tOSCLckvE9NL"
      },
      "source": [
        "!git clone https://github.com/pm6022/gruppo7.git\n",
        "!unzip ./gruppo7/dat_files_550.zip\n",
        "!unzip ./gruppo7/dat_files_573.zip\n",
        "!unzip ./gruppo7/dat_files_590.zip\n",
        "!unzip ./gruppo7/dat_files_620.zip\n",
        "!unzip ./gruppo7/dat_files_630.zip"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "aCup33VKKQN_"
      },
      "source": [
        "## Download LAMMPS"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "QGcXS1pX6byh",
        "outputId": "6e7c1417-a0cb-4b52-9fbd-f2c3513a4a16"
      },
      "source": [
        "!apt-get install lammps"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Reading package lists... Done\n",
            "Building dependency tree       \n",
            "Reading state information... Done\n",
            "The following additional packages will be installed:\n",
            "  fonts-mathjax javascript-common lammps-doc libjs-jquery libjs-mathjax\n",
            "  libjs-underscore\n",
            "Suggested packages:\n",
            "  apache2 | lighttpd | httpd fonts-mathjax-extras fonts-stix libjs-mathjax-doc\n",
            "The following NEW packages will be installed:\n",
            "  fonts-mathjax javascript-common lammps lammps-doc libjs-jquery libjs-mathjax\n",
            "  libjs-underscore\n",
            "0 upgraded, 7 newly installed, 0 to remove and 39 not upgraded.\n",
            "Need to get 52.0 MB of archives.\n",
            "After this operation, 113 MB of additional disk space will be used.\n",
            "Get:1 http://archive.ubuntu.com/ubuntu bionic/universe amd64 fonts-mathjax all 2.7.3+dfsg-1 [2,208 kB]\n",
            "Get:2 http://archive.ubuntu.com/ubuntu bionic/main amd64 javascript-common all 11 [6,066 B]\n",
            "Get:3 http://archive.ubuntu.com/ubuntu bionic/main amd64 libjs-jquery all 3.2.1-1 [152 kB]\n",
            "Get:4 http://archive.ubuntu.com/ubuntu bionic-updates/main amd64 libjs-underscore all 1.8.3~dfsg-1ubuntu0.1 [60.4 kB]\n",
            "Get:5 http://archive.ubuntu.com/ubuntu bionic/universe amd64 lammps amd64 0~20161109.git9806da6-7 [3,896 kB]\n",
            "Get:6 http://archive.ubuntu.com/ubuntu bionic/universe amd64 libjs-mathjax all 2.7.3+dfsg-1 [5,653 kB]\n",
            "Get:7 http://archive.ubuntu.com/ubuntu bionic/universe amd64 lammps-doc all 0~20161109.git9806da6-7 [40.0 MB]\n",
            "Fetched 52.0 MB in 3s (17.1 MB/s)\n",
            "Selecting previously unselected package fonts-mathjax.\n",
            "(Reading database ... 160772 files and directories currently installed.)\n",
            "Preparing to unpack .../0-fonts-mathjax_2.7.3+dfsg-1_all.deb ...\n",
            "Unpacking fonts-mathjax (2.7.3+dfsg-1) ...\n",
            "Selecting previously unselected package javascript-common.\n",
            "Preparing to unpack .../1-javascript-common_11_all.deb ...\n",
            "Unpacking javascript-common (11) ...\n",
            "Selecting previously unselected package libjs-jquery.\n",
            "Preparing to unpack .../2-libjs-jquery_3.2.1-1_all.deb ...\n",
            "Unpacking libjs-jquery (3.2.1-1) ...\n",
            "Selecting previously unselected package libjs-underscore.\n",
            "Preparing to unpack .../3-libjs-underscore_1.8.3~dfsg-1ubuntu0.1_all.deb ...\n",
            "Unpacking libjs-underscore (1.8.3~dfsg-1ubuntu0.1) ...\n",
            "Selecting previously unselected package lammps.\n",
            "Preparing to unpack .../4-lammps_0~20161109.git9806da6-7_amd64.deb ...\n",
            "Unpacking lammps (0~20161109.git9806da6-7) ...\n",
            "Selecting previously unselected package libjs-mathjax.\n",
            "Preparing to unpack .../5-libjs-mathjax_2.7.3+dfsg-1_all.deb ...\n",
            "Unpacking libjs-mathjax (2.7.3+dfsg-1) ...\n",
            "Selecting previously unselected package lammps-doc.\n",
            "Preparing to unpack .../6-lammps-doc_0~20161109.git9806da6-7_all.deb ...\n",
            "Unpacking lammps-doc (0~20161109.git9806da6-7) ...\n",
            "Setting up libjs-jquery (3.2.1-1) ...\n",
            "Setting up fonts-mathjax (2.7.3+dfsg-1) ...\n",
            "Setting up libjs-underscore (1.8.3~dfsg-1ubuntu0.1) ...\n",
            "Setting up libjs-mathjax (2.7.3+dfsg-1) ...\n",
            "Setting up lammps-doc (0~20161109.git9806da6-7) ...\n",
            "Setting up lammps (0~20161109.git9806da6-7) ...\n",
            "Setting up javascript-common (11) ...\n",
            "Processing triggers for man-db (2.8.3-2ubuntu0.1) ...\n",
            "Processing triggers for fontconfig (2.12.6-0ubuntu2) ...\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "NoWv7cG1MA3A"
      },
      "source": [
        "## Computation of Lennar-Jones Parameters"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "cI1kc_BcF41h"
      },
      "source": [
        "$\\frac{\\epsilon}{k_B} = \\frac{T_C}{1.32}$\n",
        "\n",
        "$\\sigma = \\biggl(\\frac{0.129 \\epsilon}{P_C}\\biggr)^{(1/3)}$\n",
        "\n",
        "$T_C = 593,75 K$\n",
        "\n",
        "$P_C = 41,6 atm$"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "oStE9uZCAX26"
      },
      "source": [
        "Tc = 593.75 # K\n",
        "Pc = 41.6 # atm\n",
        "kb = 0.001985875\t# kcal/(K * mol)\n",
        "N = 1000\n",
        "Na = 6.022*10**(23) \n",
        "rho = 8.7 # kg/cum\n",
        "PM = 92.14\n",
        "\n",
        "eps = kb*Tc/1.32     #units real ha le energie in kcal/mol\n",
        "#sigma = (0.129*eps/Pc)**(1/3)    #units real ha le distanze in angstrom\n",
        "# quindi : kcal/atm = 41.2928695 L = 0.0412928695 cum, fratto avogadro per togliere le moli e \n",
        "# moltiplicato per 10^30 per ottenere armstrom cubi\n",
        "sigma = (0.129*eps/Pc*0.0412928695*10**30/Na)**(1/3) \n",
        "\n",
        "V = (N/Na*PM/1000)/rho*10**(30)\n",
        "L = V**(1/3)\n",
        "\n",
        "print('eps :', eps)\n",
        "print('sigma :', sigma)\n",
        "print('V :', V)\n",
        "print('L :', L)"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "juzCMHaGMtPE"
      },
      "source": [
        "# Simulations"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "Fx0PvAk-5AC2"
      },
      "source": [
        "## TOLUENE 550"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "GilVn5hBNNGj",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "5c460725-540b-4cdb-833a-6c6b1004761a"
      },
      "source": [
        "!mpirun --allow-run-as-root -np 2 lammps -in toluene550_in.LJ_3D_NVT"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "\u001b[1;30;43mOutput streaming troncato alle ultime 5000 righe.\u001b[0m\n",
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            "1999702 2261608.40592211\n",
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            "1999720 2261627.64052064\n",
            "1999720 -70.019321809053 1677.64712704658 1747.66644885564 563.379224214601 4.22282493224037 17576000\n",
            "1999722 2261629.77668967\n",
            "1999724 2261631.93413426\n",
            "1999726 2261634.08195527\n",
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            "1999736 2261644.77482421\n",
            "1999738 2261646.9433651\n",
            "1999740 2261649.0692572\n",
            "1999740 -70.4767523866584 1667.33586498258 1737.81261736923 559.916546796542 4.17685061881292 17576000\n",
            "1999742 2261651.22631304\n",
            "1999744 2261653.33225096\n",
            "1999746 2261655.48578653\n",
            "1999748 2261657.58918638\n",
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            "1999758 2261668.30346526\n",
            "1999760 2261670.42989649\n",
            "1999760 -71.0217026094296 1586.4261789068 1657.44788151623 532.745853128045 3.94644419728736 17576000\n",
            "1999762 2261672.59711398\n",
            "1999764 2261674.74506672\n",
            "1999766 2261676.89000121\n",
            "1999768 2261679.05017461\n",
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            "1999778 2261689.73662931\n",
            "1999780 2261691.8962414\n",
            "1999780 -71.624891939709 1568.27339316889 1639.8982851086 526.649873716475 3.87913075360782 17576000\n",
            "1999782 2261694.00795598\n",
            "1999784 2261696.16897434\n",
            "1999786 2261698.28029079\n",
            "1999788 2261700.45666568\n",
            "1999790 2261702.58433406\n",
            "1999792 2261704.76674922\n",
            "1999794 2261706.88561186\n",
            "1999796 2261709.04998235\n",
            "1999798 2261711.16758329\n",
            "1999800 2261713.34724968\n",
            "1999800 -72.1690889090117 1664.73271295063 1736.90180185964 559.042369057595 4.11183275953887 17576000\n",
            "1999802 2261715.47748418\n",
            "1999804 2261717.64829812\n",
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            "1999808 2261721.92177009\n",
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            "1999814 2261728.34065859\n",
            "1999816 2261730.49180192\n",
            "1999818 2261732.63534177\n",
            "1999820 2261734.77954523\n",
            "1999820 -72.5489115962782 1683.65565186269 1756.20456345897 565.396977528155 4.14684725568243 17576000\n",
            "1999822 2261736.92651792\n",
            "1999824 2261739.08034229\n",
            "1999826 2261741.2459291\n",
            "1999828 2261743.3900666\n",
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            "1999834 2261749.8649701\n",
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            "1999838 2261754.16013385\n",
            "1999840 2261756.29235221\n",
            "1999840 -72.717145761913 1662.94756811546 1735.66471387738 558.442890480646 4.08410595831197 17576000\n",
            "1999842 2261758.46628442\n",
            "1999844 2261760.57757508\n",
            "1999846 2261762.74486946\n",
            "1999848 2261764.8626608\n",
            "1999850 2261767.04118733\n",
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            "1999856 2261773.49069749\n",
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            "1999860 2261777.7911628\n",
            "1999860 -72.5075604557888 1582.04301427445 1654.55057473024 531.273920294038 3.87193452434147 17576000\n",
            "1999862 2261779.97429242\n",
            "1999864 2261782.1190914\n",
            "1999866 2261784.2903402\n",
            "1999868 2261786.42843834\n",
            "1999870 2261788.58615886\n",
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            "1999874 2261792.86841045\n",
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            "1999880 2261799.35076439\n",
            "1999880 -72.0456784265995 1550.43082636993 1622.47650479653 520.658070506408 3.7935862046436 17576000\n",
            "1999882 2261801.48571125\n",
            "1999884 2261803.65421175\n",
            "1999886 2261805.79801254\n",
            "1999888 2261807.98847064\n",
            "1999890 2261810.13416037\n",
            "1999892 2261812.33577165\n",
            "1999894 2261814.47072084\n",
            "1999896 2261816.65043264\n",
            "1999898 2261818.77366144\n",
            "1999900 2261820.9574444\n",
            "1999900 -71.486954694821 1651.27491165822 1722.76186635305 554.523036279256 4.06215853373403 17576000\n",
            "1999902 2261823.09904118\n",
            "1999904 2261825.28478589\n",
            "1999906 2261827.41783697\n",
            "1999908 2261829.58202857\n",
            "1999910 2261831.73245805\n",
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            "1999914 2261836.05141604\n",
            "1999916 2261838.21879526\n",
            "1999918 2261840.40495885\n",
            "1999920 2261842.56680917\n",
            "1999920 -71.195177478598 1663.82139526889 1735.01657274749 558.736334826515 4.09756935226766 17576000\n",
            "1999922 2261844.73777883\n",
            "1999924 2261846.87857333\n",
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            "1999928 2261851.22193314\n",
            "1999930 2261853.44113489\n",
            "1999932 2261855.60166074\n",
            "1999934 2261857.78315954\n",
            "1999936 2261859.9236475\n",
            "1999938 2261862.10983439\n",
            "1999940 2261864.27544573\n",
            "1999940 -71.3195316730329 1612.55414718748 1683.87367886051 541.520019198466 3.95999785259936 17576000\n",
            "1999942 2261866.46888626\n",
            "1999944 2261868.66793648\n",
            "1999946 2261870.83501043\n",
            "1999948 2261873.01679889\n",
            "1999950 2261875.15789479\n",
            "1999952 2261877.35207407\n",
            "1999954 2261879.51202164\n",
            "1999956 2261881.73340553\n",
            "1999958 2261883.90111916\n",
            "1999960 2261886.0852173\n",
            "1999960 -71.8919151867053 1676.67893368077 1748.57084886748 563.054090270444 4.11560703419021 17576000\n",
            "1999962 2261888.2417374\n",
            "1999964 2261890.41441559\n",
            "1999966 2261892.59228328\n",
            "1999968 2261894.77176725\n",
            "1999970 2261896.98333625\n",
            "1999972 2261899.14815047\n",
            "1999974 2261901.34168751\n",
            "1999976 2261903.48114071\n",
            "1999978 2261905.6713548\n",
            "1999980 2261907.83703551\n",
            "1999980 -72.6015860351432 1627.65213266695 1700.25371870209 546.590150580387 3.97515524995117 17576000\n",
            "1999982 2261910.05305408\n",
            "1999984 2261912.22807669\n",
            "1999986 2261914.40953093\n",
            "1999988 2261916.57962383\n",
            "1999990 2261918.74062209\n",
            "1999992 2261920.92178338\n",
            "1999994 2261923.0926145\n",
            "1999996 2261925.32150474\n",
            "1999998 2261927.48174937\n",
            "2000000 2261929.67807194\n",
            "2000000 -73.187176097482 1676.3137052466 1749.50088134408 562.931441050242 4.09196883501887 17576000\n",
            "100000000    562.93144   -73.187176            0    1603.1265    4.0919688 \n",
            "Loop time of 5411.22 on 2 procs for 100000000 steps with 1000 atoms\n",
            "\n",
            "Performance: 31.934 ns/day, 0.752 hours/ns, 18480.135 timesteps/s\n",
            "91.3% CPU use with 2 MPI tasks x 1 OpenMP threads\n",
            "\n",
            "MPI task timing breakdown:\n",
            "Section |  min time  |  avg time  |  max time  |%varavg| %total\n",
            "---------------------------------------------------------------\n",
            "Pair    | 989        | 995.69     | 1002.4     |  21.2 | 18.40\n",
            "Neigh   | 4.2198     | 4.2297     | 4.2396     |   0.5 |  0.08\n",
            "Comm    | 1592.6     | 1597.4     | 1602.3     |  12.2 | 29.52\n",
            "Output  | 2.8743     | 2.8825     | 2.8907     |   0.5 |  0.05\n",
            "Modify  | 2024.7     | 2067.2     | 2109.7     |  93.5 | 38.20\n",
            "Other   |            | 743.7      |            |       | 13.74\n",
            "\n",
            "Nlocal:    500 ave 501 max 499 min\n",
            "Histogram: 1 0 0 0 0 0 0 0 0 1\n",
            "Nghost:    290 ave 292 max 288 min\n",
            "Histogram: 1 0 0 0 0 0 0 0 0 1\n",
            "Neighs:    252.5 ave 265 max 240 min\n",
            "Histogram: 1 0 0 0 0 0 0 0 0 1\n",
            "\n",
            "Total # of neighbors = 505\n",
            "Ave neighs/atom = 0.505\n",
            "Neighbor list builds = 18839\n",
            "Dangerous builds = 0\n",
            "Total wall time: 1:39:07\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "fkHLp0KE5C_v"
      },
      "source": [
        "## TOLUENE 573"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "SZHQM0VjNNVb",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "0d0afef5-8814-4213-9ac1-502799e61f75"
      },
      "source": [
        "!mpirun --allow-run-as-root -np 2 lammps -in toluene573_in.LJ_3D_NVT"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "\u001b[1;30;43mOutput streaming troncato alle ultime 5000 righe.\u001b[0m\n",
            "195481 183934.368590797\n",
            "195482 183935.5256613\n",
            "195483 183936.688191301\n",
            "195484 183937.840152508\n",
            "195485 183938.98401011\n",
            "195486 183940.141869947\n",
            "195487 183941.323132655\n",
            "195488 183942.483390844\n",
            "195489 183943.625275734\n",
            "195490 183944.776141849\n",
            "195490 -68.7469418886218 1717.03526481374 1785.78220670236 576.606355320284 4.31860599737183 17576000\n",
            "195491 183945.93934805\n",
            "195492 183947.097690069\n",
            "195493 183948.224825192\n",
            "195494 183949.359716956\n",
            "195495 183950.520243646\n",
            "195496 183951.681322745\n",
            "195497 183952.830441876\n",
            "195498 183953.970205081\n",
            "195499 183955.126871711\n",
            "195500 183956.304302681\n",
            "195500 -68.9065815902425 1760.92850359483 1829.83508518507 591.346367337166 4.43163011206959 17576000\n",
            "195501 183957.46241718\n",
            "195502 183958.602974114\n",
            "195503 183959.752584296\n",
            "195504 183960.912143009\n",
            "195505 183962.070833786\n",
            "195506 183963.22549046\n",
            "195507 183964.37932457\n",
            "195508 183965.534639606\n",
            "195509 183966.69061157\n",
            "195510 183967.846398147\n",
            "195510 -69.0669492231983 1705.9225765601 1774.9895257833 572.87454689267 4.2871012452218 17576000\n",
            "195511 183969.001780544\n",
            "195512 183970.156961601\n",
            "195513 183971.31304612\n",
            "195514 183972.470371493\n",
            "195515 183973.626563781\n",
            "195516 183974.7790905\n",
            "195517 183975.931577116\n",
            "195518 183977.09408484\n",
            "195519 183978.263296929\n",
            "195520 183979.413369095\n",
            "195520 -69.2686707846182 1647.87464407086 1717.14331485548 553.38117510678 4.1340580631863 17576000\n",
            "195521 183980.547519238\n",
            "195522 183981.706015149\n",
            "195523 183982.880533964\n",
            "195524 183984.042024207\n",
            "195525 183985.191145557\n",
            "195526 183986.343593918\n",
            "195527 183987.524384035\n",
            "195528 183988.707529919\n",
            "195529 183989.858511181\n",
            "195530 183991.008394892\n",
            "195530 -69.5071734689966 1702.32490994717 1771.83208341616 571.666396148273 4.27309375775655 17576000\n",
            "195531 183992.171232682\n",
            "195532 183993.340419423\n",
            "195533 183994.486671511\n",
            "195534 183995.618017817\n",
            "195535 183996.774752146\n",
            "195536 183997.94171024\n",
            "195537 183999.099423184\n",
            "195538 184000.247681025\n",
            "195539 184001.404103507\n",
            "195540 184002.587299743\n",
            "195540 -69.7621604111827 1788.55744275402 1858.3196031652 600.624582081157 4.49450622504615 17576000\n",
            "195541 184003.756537892\n",
            "195542 184004.902083058\n",
            "195543 184006.053173842\n",
            "195544 184007.218136318\n",
            "195545 184008.382383815\n",
            "195546 184009.513908884\n",
            "195547 184010.648198227\n",
            "195548 184011.810456958\n",
            "195549 184012.97628394\n",
            "195550 184014.12894074\n",
            "195550 -69.9846305967935 1666.17795976647 1736.16259036326 559.527704749936 4.17352214527246 17576000\n",
            "195551 184015.268025185\n",
            "195552 184016.421597672\n",
            "195553 184017.601149137\n",
            "195554 184018.765741923\n",
            "195555 184019.910393044\n",
            "195556 184021.061611425\n",
            "195557 184022.224328068\n",
            "195558 184023.38679232\n",
            "195559 184024.544985511\n",
            "195560 184025.700988357\n",
            "195560 -70.2433141663541 1700.35928081814 1770.6025949845 571.006308221587 4.25942958078108 17576000\n",
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            "199791 188921.33345253\n",
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            "199800 -73.493997948133 1740.45109257963 1813.94509052776 584.469743674374 4.31126535469931 17576000\n",
            "199801 188932.704148858\n",
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            "199810 -73.5457067509301 1708.87494828222 1782.42065503315 573.86599787398 4.2279922296812 17576000\n",
            "199811 188944.060285323\n",
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            "199821 188955.33091265\n",
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            "199831 188966.698618658\n",
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            "199840 -73.8082728843981 1720.97888843799 1794.78716132239 577.930683650245 4.25553731127545 17576000\n",
            "199841 188978.008729926\n",
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            "199850 -73.789781363266 1863.11491348511 1936.90469484838 625.662105969649 4.62551079032085 17576000\n",
            "199851 188989.388784362\n",
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            "199860 188999.573175913\n",
            "199860 -73.7812600684775 1696.36869052176 1770.14995059024 569.666207774307 4.1926894352454 17576000\n",
            "199861 189000.696937065\n",
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            "199870 -73.7065562776715 1661.65972867773 1735.3662849554 558.010414561458 4.10445776928814 17576000\n",
            "199871 189012.024757709\n",
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            "199880 -73.5806982990281 1747.0073191458 1820.58801744483 586.67142350148 4.32953646419715 17576000\n",
            "199881 189023.388190872\n",
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            "199890 -73.4389723063972 1669.6616122178 1743.1005845242 560.697567818171 4.13219692161382 17576000\n",
            "199891 189034.696443732\n",
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            "199900 -73.2467590563774 1758.57518322009 1831.82194227647 590.556086839157 4.36815839332609 17576000\n",
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            "199910 -73.0145806137875 1710.55174375163 1783.56632436542 574.429091098706 4.24866651634488 17576000\n",
            "199911 189057.341365807\n",
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            "199920 -72.7444838702396 1620.53232624829 1693.27681011853 544.199212133298 4.02043184129957 17576000\n",
            "199921 189068.608163727\n",
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            "199930 -72.5371400406513 1759.38031140421 1831.91745144486 590.82646103433 4.387013091305 17576000\n",
            "199931 189079.97640988\n",
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            "199940 -72.3206497118358 1726.2598185399 1798.58046825174 579.704099677955 4.30628451869701 17576000\n",
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            "199950 -72.1410508081177 1715.25817354953 1787.39922435765 576.009581254005 4.28249595548894 17576000\n",
            "199951 189102.60080881\n",
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            "199960 -72.0102433236344 1624.85260643783 1696.86284976146 545.650027422361 4.05138593582367 17576000\n",
            "199961 189113.867593053\n",
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            "199970 -71.9685545920882 1689.92442773874 1761.89298233083 567.502127075331 4.22340303639603 17576000\n",
            "199971 189125.165801512\n",
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            "199973 189127.448666695\n",
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            "199977 189131.965653919\n",
            "199978 189133.105081815\n",
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            "199980 189135.360614322\n",
            "199980 -71.9863577016985 1705.09691208625 1777.08326978795 572.597276301471 4.26465282778366 17576000\n",
            "199981 189136.492930181\n",
            "199982 189137.629423998\n",
            "199983 189138.760324788\n",
            "199984 189139.877455887\n",
            "199985 189141.000121459\n",
            "199986 189142.147351657\n",
            "199987 189143.289793062\n",
            "199988 189144.403183746\n",
            "199989 189145.519208903\n",
            "199990 189146.650847554\n",
            "199990 -72.0153435742089 1731.49460418948 1803.50994776369 581.462019702163 4.3345156979127 17576000\n",
            "199991 189147.790110109\n",
            "199992 189148.914730084\n",
            "199993 189150.014467621\n",
            "199994 189151.135555418\n",
            "199995 189152.277128664\n",
            "199996 189153.408569882\n",
            "199997 189154.52658447\n",
            "199998 189155.652245133\n",
            "199999 189156.807072691\n",
            "200000 189157.951526348\n",
            "200000 -72.1021550328268 1704.30618377793 1776.40833881075 572.331737801911 4.2641881102489 17576000\n",
            "20000000    572.33174   -72.102155            0     1632.204    4.2641881 \n",
            "Loop time of 1051.55 on 2 procs for 20000000 steps with 1000 atoms\n",
            "\n",
            "Performance: 16.433 ns/day, 1.460 hours/ns, 19019.487 timesteps/s\n",
            "92.4% CPU use with 2 MPI tasks x 1 OpenMP threads\n",
            "\n",
            "MPI task timing breakdown:\n",
            "Section |  min time  |  avg time  |  max time  |%varavg| %total\n",
            "---------------------------------------------------------------\n",
            "Pair    | 205.94     | 206.34     | 206.73     |   2.7 | 19.62\n",
            "Neigh   | 0.4834     | 0.48855    | 0.49369    |   0.7 |  0.05\n",
            "Comm    | 306.24     | 307.56     | 308.88     |   7.5 | 29.25\n",
            "Output  | 0.60149    | 0.60294    | 0.6044     |   0.2 |  0.06\n",
            "Modify  | 390.04     | 397.7      | 405.36     |  38.4 | 37.82\n",
            "Other   |            | 138.9      |            |       | 13.21\n",
            "\n",
            "Nlocal:    500 ave 504 max 496 min\n",
            "Histogram: 1 0 0 0 0 0 0 0 0 1\n",
            "Nghost:    263 ave 266 max 260 min\n",
            "Histogram: 1 0 0 0 0 0 0 0 0 1\n",
            "Neighs:    276 ave 285 max 267 min\n",
            "Histogram: 1 0 0 0 0 0 0 0 0 1\n",
            "\n",
            "Total # of neighbors = 552\n",
            "Ave neighs/atom = 0.552\n",
            "Neighbor list builds = 2203\n",
            "Dangerous builds = 0\n",
            "Total wall time: 0:26:17\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "kG7VYuzl5Jq0"
      },
      "source": [
        "## TOLUENE 590"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "FAFPbPEqNN2r",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "d33bfd54-99a0-4faf-c349-a6f9b49e4a37"
      },
      "source": [
        "!mpirun --allow-run-as-root -np 2 lammps -in toluene590_in.LJ_3D_NVT"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "\u001b[1;30;43mOutput streaming troncato alle ultime 5000 righe.\u001b[0m\n",
            "1990962 2392559.88840829\n",
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            "1999460 -69.1416529735164 1715.52083895647 1784.66249192999 576.097788261787 4.48705299323829 17576000\n",
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            "1999500 -72.276551826649 1783.80130124984 1856.07785307649 599.027397984645 4.57937002736748 17576000\n",
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            "1999520 -73.5910900850509 1745.0089602923 1818.60005037735 586.000344439359 4.43872104382262 17576000\n",
            "1999522 2404401.78580593\n",
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            "1999602 2404517.89680636\n",
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            "1999662 2404605.3788776\n",
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            "1999740 -76.5568948844414 1829.96030180192 1906.51719668636 614.528286998969 4.49804071434516 17576000\n",
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            "1999760 -76.2622580498656 1747.78284562724 1824.04510367711 586.93185699815 4.28970608415148 17576000\n",
            "1999762 2404752.23595844\n",
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            "1999782 2404781.72220689\n",
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            "1999800 -75.2848287397079 1801.53791323795 1876.82274197765 604.983619970161 4.45360722354831 17576000\n",
            "1999802 2404811.32419388\n",
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            "1999822 2404841.00971852\n",
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            "1999882 2404929.87425258\n",
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            "1999900 -67.4520980194254 1762.68501458382 1830.13711260325 591.936230236432 4.5274598040627 17576000\n",
            "1999902 2404959.49846842\n",
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            "1999920 -65.5643301918765 1774.74093035106 1840.30526054293 595.984788698245 4.59869509583728 17576000\n",
            "1999922 2404989.20284108\n",
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            "1999940 -64.5069652009449 1734.59970699772 1799.10667219867 582.5047600872 4.51734685207103 17576000\n",
            "1999942 2405018.73344946\n",
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            "1999960 2405045.51040888\n",
            "1999960 -64.7638220067343 1828.03936895919 1892.80319096592 613.883208759774 4.75867251459345 17576000\n",
            "1999962 2405048.45548833\n",
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            "1999966 2405054.37669794\n",
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            "1999970 2405060.26974687\n",
            "1999972 2405063.20056231\n",
            "1999974 2405066.21955365\n",
            "1999976 2405069.17874745\n",
            "1999978 2405072.15595811\n",
            "1999980 2405075.13294487\n",
            "1999980 -66.1803718069832 1699.57626669093 1765.75663849791 570.743360260464 4.40012606388673 17576000\n",
            "1999982 2405078.08335218\n",
            "1999984 2405081.03970666\n",
            "1999986 2405083.94159483\n",
            "1999988 2405086.90901763\n",
            "1999990 2405089.84303161\n",
            "1999992 2405092.81529979\n",
            "1999994 2405095.77583559\n",
            "1999996 2405098.72533265\n",
            "1999998 2405101.67473852\n",
            "2000000 2405104.58093133\n",
            "2000000 -68.3156318929896 1783.20516539728 1851.52079729027 598.827206568508 4.57944732650041 17576000\n",
            "100000000    598.82721   -68.315632            0    1714.8895    4.5794473 \n",
            "Loop time of 5642.32 on 2 procs for 100000000 steps with 1000 atoms\n",
            "\n",
            "Performance: 30.626 ns/day, 0.784 hours/ns, 17723.198 timesteps/s\n",
            "92.4% CPU use with 2 MPI tasks x 1 OpenMP threads\n",
            "\n",
            "MPI task timing breakdown:\n",
            "Section |  min time  |  avg time  |  max time  |%varavg| %total\n",
            "---------------------------------------------------------------\n",
            "Pair    | 1066.9     | 1073.2     | 1079.5     |  19.3 | 19.02\n",
            "Neigh   | 4.228      | 4.2374     | 4.2467     |   0.5 |  0.08\n",
            "Comm    | 1570.6     | 1578.9     | 1587.2     |  20.9 | 27.98\n",
            "Output  | 2.8076     | 2.8107     | 2.8138     |   0.2 |  0.05\n",
            "Modify  | 2231.3     | 2273       | 2314.7     |  87.5 | 40.28\n",
            "Other   |            | 710.2      |            |       | 12.59\n",
            "\n",
            "Nlocal:    500 ave 510 max 490 min\n",
            "Histogram: 1 0 0 0 0 0 0 0 0 1\n",
            "Nghost:    289.5 ave 308 max 271 min\n",
            "Histogram: 1 0 0 0 0 0 0 0 0 1\n",
            "Neighs:    285.5 ave 289 max 282 min\n",
            "Histogram: 1 0 0 0 0 0 0 0 0 1\n",
            "\n",
            "Total # of neighbors = 571\n",
            "Ave neighs/atom = 0.571\n",
            "Neighbor list builds = 19022\n",
            "Dangerous builds = 0\n",
            "Total wall time: 1:43:36\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "nsPCK8AS5QPj"
      },
      "source": [
        "## TOLUENE 620"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "ZQZo643ZNM6N",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "7528f4e6-f8bb-4421-b77c-9d8526d03cf2"
      },
      "source": [
        "!mpirun --allow-run-as-root -np 2 lammps -in toluene620_in.LJ_3D_NVT"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "\u001b[1;30;43mOutput streaming troncato alle ultime 5000 righe.\u001b[0m\n",
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            "1999778 2507588.27343653\n",
            "1999780 2507591.23990773\n",
            "1999780 -61.001580476024 1850.93129117235 1911.93287164838 621.570661722508 4.86714646177365 17576000\n",
            "1999782 2507594.25025778\n",
            "1999784 2507597.18478846\n",
            "1999786 2507600.19444022\n",
            "1999788 2507603.15988034\n",
            "1999790 2507606.19331668\n",
            "1999792 2507609.17151942\n",
            "1999794 2507612.16557033\n",
            "1999796 2507615.12439233\n",
            "1999798 2507618.10073857\n",
            "1999800 2507621.08634673\n",
            "1999800 -60.7758690742259 1821.01582727597 1881.7916963502 611.524597463671 4.78547755682162 17576000\n",
            "1999802 2507624.0750426\n",
            "1999804 2507627.1113879\n",
            "1999806 2507630.07473423\n",
            "1999808 2507633.0834044\n",
            "1999810 2507636.01489944\n",
            "1999812 2507639.0054883\n",
            "1999814 2507641.97229936\n",
            "1999816 2507644.9791802\n",
            "1999818 2507647.97461454\n",
            "1999820 2507650.9406868\n",
            "1999820 -61.9971347565126 1894.91107099162 1956.90820574814 636.339735526084 4.94646720610185 17576000\n",
            "1999822 2507653.92108204\n",
            "1999824 2507656.85463605\n",
            "1999826 2507659.83656639\n",
            "1999828 2507662.79382002\n",
            "1999830 2507665.81553551\n",
            "1999832 2507668.75753683\n",
            "1999834 2507671.75492339\n",
            "1999836 2507674.66776071\n",
            "1999838 2507677.65023259\n",
            "1999840 2507680.58842077\n",
            "1999840 -63.7708668682843 1808.08637696782 1871.8572438361 607.182692919684 4.67773690065964 17576000\n",
            "1999842 2507683.58208992\n",
            "1999844 2507686.52491092\n",
            "1999846 2507689.50061016\n",
            "1999848 2507692.41289856\n",
            "1999850 2507695.37199854\n",
            "1999852 2507698.31882277\n",
            "1999854 2507701.2846357\n",
            "1999856 2507704.25389986\n",
            "1999858 2507707.20962727\n",
            "1999860 2507710.22838303\n",
            "1999860 -65.436450935012 1844.70493337092 1910.14138430593 619.479756804959 4.73130885912109 17576000\n",
            "1999862 2507713.15445832\n",
            "1999864 2507716.1421038\n",
            "1999866 2507719.04348698\n",
            "1999868 2507721.99614447\n",
            "1999870 2507724.94837392\n",
            "1999872 2507727.87802948\n",
            "1999874 2507730.85488796\n",
            "1999876 2507733.8004763\n",
            "1999878 2507736.81786688\n",
            "1999880 2507739.7617926\n",
            "1999880 -66.6102334452569 1864.21494134864 1930.82517479389 626.031511927775 4.74868128606988 17576000\n",
            "1999882 2507742.73624754\n",
            "1999884 2507745.64908038\n",
            "1999886 2507748.64552151\n",
            "1999888 2507751.58350399\n",
            "1999890 2507754.60276062\n",
            "1999892 2507757.55233847\n",
            "1999894 2507760.52650696\n",
            "1999896 2507763.45173916\n",
            "1999898 2507766.41140818\n",
            "1999900 2507769.36299692\n",
            "1999900 -67.2686791327395 1809.06157454863 1876.33025368137 607.510178984945 4.58121479848107 17576000\n",
            "1999902 2507772.33414576\n",
            "1999904 2507775.30942949\n",
            "1999906 2507778.259966\n",
            "1999908 2507781.21538205\n",
            "1999910 2507784.13231833\n",
            "1999912 2507787.09978832\n",
            "1999914 2507790.03707808\n",
            "1999916 2507793.03743766\n",
            "1999918 2507795.96570669\n",
            "1999920 2507798.93525405\n",
            "1999920 -67.464191599249 1853.74210790922 1921.20629950847 622.514576403429 4.68199373281437 17576000\n",
            "1999922 2507801.83087241\n",
            "1999924 2507804.74495769\n",
            "1999926 2507807.71368493\n",
            "1999928 2507810.63889365\n",
            "1999930 2507813.64000773\n",
            "1999932 2507816.58156268\n",
            "1999934 2507819.56420463\n",
            "1999936 2507822.51963756\n",
            "1999938 2507825.47145071\n",
            "1999940 2507828.44213273\n",
            "1999940 -67.3677672744161 1818.91348053366 1886.28124780808 610.818597699109 4.58217560092808 17576000\n",
            "1999942 2507831.3882588\n",
            "1999944 2507834.35390863\n",
            "1999946 2507837.26403908\n",
            "1999948 2507840.25323712\n",
            "1999950 2507843.19317653\n",
            "1999952 2507846.19971886\n",
            "1999954 2507849.20243144\n",
            "1999956 2507852.14569062\n",
            "1999958 2507855.12836521\n",
            "1999960 2507858.03675157\n",
            "1999960 -67.0943123893198 1844.77305296159 1911.86736535091 619.502632391561 4.64417942236067 17576000\n",
            "1999962 2507861.00428995\n",
            "1999964 2507863.94157704\n",
            "1999966 2507866.91474057\n",
            "1999968 2507869.85670948\n",
            "1999970 2507872.81612509\n",
            "1999972 2507875.78779562\n",
            "1999974 2507878.72934663\n",
            "1999976 2507881.73150883\n",
            "1999978 2507884.6536539\n",
            "1999980 2507887.62832369\n",
            "1999980 -66.6929695139842 1836.8568076936 1903.54977720759 616.844237759061 4.62070708752998 17576000\n",
            "1999982 2507890.51308654\n",
            "1999984 2507893.46409205\n",
            "1999986 2507896.41253023\n",
            "1999988 2507899.3496758\n",
            "1999990 2507902.33210849\n",
            "1999992 2507905.26184356\n",
            "1999994 2507908.2248229\n",
            "1999996 2507911.11546845\n",
            "1999998 2507914.08221214\n",
            "2000000 2507917.01277182\n",
            "2000000 -66.3879065068484 1801.27670167395 1867.6646081808 604.895901184782 4.52491328928373 17576000\n",
            "100000000     604.8959   -66.387907            0    1734.8888    4.5249133 \n",
            "Loop time of 5248.13 on 2 procs for 100000000 steps with 1000 atoms\n",
            "\n",
            "Performance: 32.926 ns/day, 0.729 hours/ns, 19054.388 timesteps/s\n",
            "92.4% CPU use with 2 MPI tasks x 1 OpenMP threads\n",
            "\n",
            "MPI task timing breakdown:\n",
            "Section |  min time  |  avg time  |  max time  |%varavg| %total\n",
            "---------------------------------------------------------------\n",
            "Pair    | 950.16     | 963.86     | 977.56     |  44.1 | 18.37\n",
            "Neigh   | 4.3892     | 4.4142     | 4.4391     |   1.2 |  0.08\n",
            "Comm    | 1525.4     | 1545.1     | 1564.7     |  50.0 | 29.44\n",
            "Output  | 2.87       | 2.8768     | 2.8835     |   0.4 |  0.05\n",
            "Modify  | 2013.3     | 2029.7     | 2046.1     |  36.4 | 38.67\n",
            "Other   |            | 702.2      |            |       | 13.38\n",
            "\n",
            "Nlocal:    500 ave 520 max 480 min\n",
            "Histogram: 1 0 0 0 0 0 0 0 0 1\n",
            "Nghost:    328 ave 355 max 301 min\n",
            "Histogram: 1 0 0 0 0 0 0 0 0 1\n",
            "Neighs:    282.5 ave 284 max 281 min\n",
            "Histogram: 1 0 0 0 0 0 0 0 0 1\n",
            "\n",
            "Total # of neighbors = 565\n",
            "Ave neighs/atom = 0.565\n",
            "Neighbor list builds = 20199\n",
            "Dangerous builds = 0\n",
            "Total wall time: 1:36:24\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "sdBuFzwS5ZA4"
      },
      "source": [
        "## TOLUENE 630"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "JOo_YEsZ65K1",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "7418a449-35e4-40f8-d0ea-54482df66ff8"
      },
      "source": [
        "!mpirun --allow-run-as-root -np 2 lammps -in toluene630_in.LJ_3D_NVT"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "\u001b[1;30;43mStreaming output truncated to the last 5000 lines.\u001b[0m\n",
            "1990962 2499581.48418169\n",
            "1990964 2499583.93725321\n",
            "1990966 2499586.37019859\n",
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            "1990970 2499591.25382802\n",
            "1990972 2499593.69035404\n",
            "1990974 2499596.15603172\n",
            "1990976 2499598.58820432\n",
            "1990978 2499601.04102111\n",
            "1990980 2499603.45303693\n",
            "1990980 -59.774424959038 1908.20915491097 1967.98357987001 640.805432800107 4.81695227275473 17576000\n",
            "1990982 2499605.91291636\n",
            "1990984 2499608.3327924\n",
            "1990986 2499610.81538919\n",
            "1990988 2499613.24506527\n",
            "1990990 2499615.72773332\n",
            "1990992 2499618.15040857\n",
            "1990994 2499620.61704388\n",
            "1990996 2499623.0485644\n",
            "1990998 2499625.54169099\n",
            "1991000 2499627.98332391\n",
            "1991000 -60.0237990319927 1833.89055221544 1893.91435124743 615.84812440294 4.62300578555354 17576000\n",
            "1991002 2499630.4473303\n",
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            "1991008 2499637.76784536\n",
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            "1991018 2499650.02056176\n",
            "1991020 2499652.49261591\n",
            "1991020 -59.8035342281856 1951.03423384704 2010.83776807522 655.186740620424 4.93633003470255 17576000\n",
            "1991022 2499654.9504864\n",
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            "1991040 -58.9225755696764 1893.32731691623 1952.2498924859 635.807887005642 4.80680980066668 17576000\n",
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            "1991062 2499704.19006474\n",
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            "1991076 2499721.44358386\n",
            "1991078 2499723.89916612\n",
            "1991080 2499726.41011629\n",
            "1991080 -55.8150122456929 2001.40086204157 2057.21587428726 672.100614498356 5.15230835759437 17576000\n",
            "1991082 2499728.88263835\n",
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            "1991086 2499733.81178442\n",
            "1991088 2499736.26516949\n",
            "1991090 2499738.73509328\n",
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            "1991094 2499743.69295313\n",
            "1991096 2499746.13633449\n",
            "1991098 2499748.61487563\n",
            "1991100 2499751.08018535\n",
            "1991100 -54.4799531698722 1875.60454529729 1930.08449846716 629.856312824969 4.85236010389314 17576000\n",
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            "1991116 2499770.83432761\n",
            "1991118 2499773.29969105\n",
            "1991120 2499775.79732964\n",
            "1991120 -53.8939763293312 1801.96895885193 1855.86293518126 605.128371592654 4.67302189687223 17576000\n",
            "1991122 2499778.25084483\n",
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            "1991128 2499785.69952592\n",
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            "1991132 2499790.65798627\n",
            "1991134 2499793.09111197\n",
            "1991136 2499795.58099078\n",
            "1991138 2499798.00527601\n",
            "1991140 2499800.4982163\n",
            "1991140 -54.2448921421427 1910.82901256362 1965.07390470576 641.685220538603 4.95079203736097 17576000\n",
            "1991142 2499802.94945532\n",
            "1991144 2499805.44899332\n",
            "1991146 2499807.89304405\n",
            "1991148 2499810.37577049\n",
            "1991150 2499812.83089661\n",
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            "1991156 2499820.27175722\n",
            "1991158 2499822.76762414\n",
            "1991160 2499825.2237842\n",
            "1991160 -55.2557866048588 1919.19472640873 1974.45051301359 644.494553502657 4.95493996534215 17576000\n",
            "1991162 2499827.70272575\n",
            "1991164 2499830.14247354\n",
            "1991166 2499832.62911155\n",
            "1991168 2499835.08314533\n",
            "1991170 2499837.57980906\n",
            "1991172 2499840.01549918\n",
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            "1991176 2499844.92624757\n",
            "1991178 2499847.42313405\n",
            "1991180 2499849.87073066\n",
            "1991180 -56.4110610933935 1864.14674987317 1920.55781096657 626.008612201173 4.79037370635725 17576000\n",
            "1991182 2499852.38035944\n",
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            "1991186 2499857.31477472\n",
            "1991188 2499859.75302839\n",
            "1991190 2499862.24619757\n",
            "1991192 2499864.70612737\n",
            "1991194 2499867.20073437\n",
            "1991196 2499869.66586481\n",
            "1991198 2499872.14310351\n",
            "1991200 2499874.59776001\n",
            "1991200 -57.4701936952244 1785.70307360134 1843.17326729656 599.666041841715 4.56629451311682 17576000\n",
            "1991202 2499877.06649995\n",
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            "1991206 2499882.01111558\n",
            "1991208 2499884.49322293\n",
            "1991210 2499886.95152906\n",
            "1991212 2499889.42838064\n",
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            "1991216 2499894.35558651\n",
            "1991218 2499896.81245099\n",
            "1991220 2499899.31753684\n",
            "1991220 -58.2281255210051 1831.57061017937 1889.79873570037 615.069052854798 4.67022665125831 17576000\n",
            "1991222 2499901.76632581\n",
            "1991224 2499904.25655686\n",
            "1991226 2499906.68549437\n",
            "1991228 2499909.18144885\n",
            "1991230 2499911.63386059\n",
            "1991232 2499914.14933784\n",
            "1991234 2499916.60449307\n",
            "1991236 2499919.09434466\n",
            "1991238 2499921.53037978\n",
            "1991240 2499924.01223224\n",
            "1991240 -58.7302819919712 1901.94094791049 1960.67122990246 638.70047428993 4.84270645636261 17576000\n",
            "1991242 2499926.47603432\n",
            "1991244 2499928.9756358\n",
            "1991246 2499931.4549937\n",
            "1991248 2499933.93177166\n",
            "1991250 2499936.39729326\n",
            "1991252 2499938.85324759\n",
            "1991254 2499941.33720445\n",
            "1991256 2499943.81126096\n",
            "1991258 2499946.32234038\n",
            "1991260 2499948.78540124\n",
            "1991260 -59.0271904793664 1898.27077812398 1957.29796860334 637.467975885633 4.82680931480253 17576000\n",
            "1991262 2499951.28301206\n",
            "1991264 2499953.72152151\n",
            "1991266 2499956.22024747\n",
            "1991268 2499958.68275678\n",
            "1991270 2499961.2213593\n",
            "1991272 2499963.68659126\n",
            "1991274 2499966.19205334\n",
            "1991276 2499968.64646241\n",
            "1991278 2499971.1320285\n",
            "1991280 2499973.60884015\n",
            "1991280 -59.1199372992925 1846.09973405712 1905.21967135642 619.948151925636 4.68850100112031 17576000\n",
            "1991282 2499976.12028939\n",
            "1991284 2499978.60749241\n",
            "1991286 2499981.0927159\n",
            "1991288 2499983.56788733\n",
            "1991290 2499986.03305876\n",
            "1991292 2499988.51983325\n",
            "1991294 2499990.95236082\n",
            "1991296 2499993.46011517\n",
            "1991298 2499995.91883502\n",
            "1991300 2499998.44654131\n",
            "1991300 -59.1635521546245 1948.68118968339 2007.84474183801 654.396552878266 4.95474457010537 17576000\n",
            "1991302 2500000.9402269\n",
            "1991304 2500003.41784255\n",
            "1991306 2500005.92678592\n",
            "1991308 2500008.38392613\n",
            "1991310 2500010.88292456\n",
            "1991312 2500013.30105394\n",
            "1991314 2500015.80114943\n",
            "1991316 2500018.26597987\n",
            "1991318 2500020.78394163\n",
            "1991320 2500023.26512398\n",
            "1991320 -59.0755019684607 1855.40619150996 1914.48169347842 623.073400790811 4.71398329558121 17576000\n",
            "1991322 2500025.75956792\n",
            "1991324 2500028.22796675\n",
            "1991326 2500030.71035028\n",
            "1991328 2500033.20344595\n",
            "1991330 2500035.70163476\n",
            "1991332 2500038.23093677\n",
            "1991334 2500040.71219181\n",
            "1991336 2500043.22860869\n",
            "1991338 2500045.68352362\n",
            "1991340 2500048.1934672\n",
            "1991340 -58.9362852015943 1900.53281064981 1959.46909585141 638.227600546271 4.8348623534622 17576000\n",
            "1991342 2500050.68021005\n",
            "1991344 2500053.19573556\n",
            "1991346 2500055.71280074\n",
            "1991348 2500058.19890213\n",
            "1991350 2500060.70046971\n",
            "1991352 2500063.16055062\n",
            "1991354 2500065.66497226\n",
            "1991356 2500068.14290367\n",
            "1991358 2500070.671616\n",
            "1991360 2500073.13880585\n",
            "1991360 -58.6977305767489 1871.6621392367 1930.35986981345 628.532393371262 4.76550630093752 17576000\n",
            "1991362 2500075.65283506\n",
            "1991364 2500078.08079379\n",
            "1991366 2500080.58447186\n",
            "1991368 2500083.05856103\n",
            "1991370 2500085.57234238\n",
            "1991372 2500088.06797817\n",
            "1991374 2500090.56854961\n",
            "1991376 2500093.11672184\n",
            "1991378 2500095.59025997\n",
            "1991380 2500098.10981617\n",
            "1991380 -58.3163355987651 1850.63738191866 1908.95371751743 621.471962559458 4.71947947410309 17576000\n",
            "1991382 2500100.55693853\n",
            "1991384 2500103.05740421\n",
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            "1999530 2510388.42127709\n",
            "1999532 2510390.78449475\n",
            "1999534 2510393.0822072\n",
            "1999536 2510395.46708823\n",
            "1999538 2510397.82393654\n",
            "1999540 2510400.21689486\n",
            "1999540 -71.2683919863838 1951.75217937518 2023.02057136156 655.427837563967 4.97391901469368 17576000\n",
            "1999542 2510402.59927753\n",
            "1999544 2510404.97946956\n",
            "1999546 2510407.41054821\n",
            "1999548 2510409.77168943\n",
            "1999550 2510412.17451533\n",
            "1999552 2510414.51088526\n",
            "1999554 2510416.89812077\n",
            "1999556 2510419.26227552\n",
            "1999558 2510421.63334025\n",
            "1999560 2510424.02900728\n",
            "1999560 -70.0342482665906 1830.47015858677 1900.50440685336 614.699504602051 4.68838493051736 17576000\n",
            "1999562 2510426.39958854\n",
            "1999564 2510428.79169065\n",
            "1999566 2510431.17165221\n",
            "1999568 2510433.58960127\n",
            "1999570 2510435.94848182\n",
            "1999572 2510438.34972733\n",
            "1999574 2510440.73737427\n",
            "1999576 2510443.15118369\n",
            "1999578 2510445.54834938\n",
            "1999580 2510447.93864415\n",
            "1999580 -69.1711365324951 1915.94134936609 1985.11248589859 643.402020391963 4.93346332221191 17576000\n",
            "1999582 2510450.31844507\n",
            "1999584 2510452.66792296\n",
            "1999586 2510455.07917649\n",
            "1999588 2510457.44098361\n",
            "1999590 2510459.87326092\n",
            "1999592 2510462.25674087\n",
            "1999594 2510464.68779752\n",
            "1999596 2510467.12215968\n",
            "1999598 2510469.51280961\n",
            "1999600 2510471.92917127\n",
            "1999600 -68.6877492473755 1797.05062139598 1865.73837064336 603.476719647684 4.63898042465472 17576000\n",
            "1999602 2510474.29300546\n",
            "1999604 2510476.70760296\n",
            "1999606 2510479.07334319\n",
            "1999608 2510481.48693784\n",
            "1999610 2510483.88411952\n",
            "1999612 2510486.32165417\n",
            "1999614 2510488.74784294\n",
            "1999616 2510491.15511816\n",
            "1999618 2510493.60248795\n",
            "1999620 2510495.98567018\n",
            "1999620 -68.5506472403221 1881.31307174004 1949.86371898036 631.773322157193 4.86562558231905 17576000\n",
            "1999622 2510498.41726469\n",
            "1999624 2510500.8169431\n",
            "1999626 2510503.23149681\n",
            "1999628 2510505.64464471\n",
            "1999630 2510508.04321993\n",
            "1999632 2510510.48684791\n",
            "1999634 2510512.88901474\n",
            "1999636 2510515.31513304\n",
            "1999638 2510517.68819726\n",
            "1999640 2510520.12470542\n",
            "1999640 -68.5560941467417 1895.26951788082 1963.82561202756 636.460107401135 4.90521946766077 17576000\n",
            "1999642 2510522.52785077\n",
            "1999644 2510524.99020589\n",
            "1999646 2510527.4039169\n",
            "1999648 2510529.84175318\n",
            "1999650 2510532.26363797\n",
            "1999652 2510534.68040105\n",
            "1999654 2510537.11465067\n",
            "1999656 2510539.53044896\n",
            "1999658 2510541.96093457\n",
            "1999660 2510544.35743752\n",
            "1999660 -68.567642663683 1844.07092908251 1912.63857174619 619.266848596554 4.77350259508236 17576000\n",
            "1999662 2510546.80960991\n",
            "1999664 2510549.21973229\n",
            "1999666 2510551.64406789\n",
            "1999668 2510554.07022609\n",
            "1999670 2510556.46868622\n",
            "1999672 2510558.9201266\n",
            "1999674 2510561.33727722\n",
            "1999676 2510563.84048809\n",
            "1999678 2510566.2717285\n",
            "1999680 2510568.70952538\n",
            "1999680 -68.5785752956818 1946.81940521129 2015.39798050697 653.771337554592 5.04060648478505 17576000\n",
            "1999682 2510571.14751789\n",
            "1999684 2510573.56219625\n",
            "1999686 2510576.00471537\n",
            "1999688 2510578.38953115\n",
            "1999690 2510580.83321408\n",
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            "1999698 2510590.60517343\n",
            "1999700 2510593.08106146\n",
            "1999700 -68.7213451932584 1829.36166764579 1898.08301283905 614.327256614791 4.7314631662925 17576000\n",
            "1999702 2510595.49909313\n",
            "1999704 2510597.954471\n",
            "1999706 2510600.34169842\n",
            "1999708 2510602.78466148\n",
            "1999710 2510605.21480252\n",
            "1999712 2510607.64610282\n",
            "1999714 2510610.10430348\n",
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            "1999718 2510614.98303571\n",
            "1999720 2510617.4243753\n",
            "1999720 -69.0885031830655 1874.64966551046 1943.73816869352 629.535649781562 4.84003083761919 17576000\n",
            "1999722 2510619.87837547\n",
            "1999724 2510622.31671339\n",
            "1999726 2510624.76313941\n",
            "1999728 2510627.22463502\n",
            "1999730 2510629.6639184\n",
            "1999732 2510632.11541193\n",
            "1999734 2510634.52653053\n",
            "1999736 2510636.99520972\n",
            "1999738 2510639.42877162\n",
            "1999740 2510641.93826247\n",
            "1999740 -69.7890899977355 1920.367811711 1990.15690170874 644.888493251295 4.94274388876604 17576000\n",
            "1999742 2510644.38171176\n",
            "1999744 2510646.84238898\n",
            "1999746 2510649.28845689\n",
            "1999748 2510651.72499704\n",
            "1999750 2510654.18415696\n",
            "1999752 2510656.62987681\n",
            "1999754 2510659.13436403\n",
            "1999756 2510661.56757067\n",
            "1999758 2510664.04368651\n",
            "1999760 2510666.4559505\n",
            "1999760 -70.8378775333535 1836.07409609571 1906.91197362907 616.581391391853 4.70129722248885 17576000\n",
            "1999762 2510668.91808433\n",
            "1999764 2510671.35954579\n",
            "1999766 2510673.83677939\n",
            "1999768 2510676.28145749\n",
            "1999770 2510678.74032742\n",
            "1999772 2510681.16325525\n",
            "1999774 2510683.60732036\n",
            "1999776 2510686.05612902\n",
            "1999778 2510688.49746265\n",
            "1999780 2510690.96800457\n",
            "1999780 -71.8841517606517 1835.08079381183 1906.96494557248 616.247825494064 4.67528821471695 17576000\n",
            "1999782 2510693.41068054\n",
            "1999784 2510695.89307938\n",
            "1999786 2510698.3151451\n",
            "1999788 2510700.79484464\n",
            "1999790 2510703.22039539\n",
            "1999792 2510705.72992978\n",
            "1999794 2510708.16539914\n",
            "1999796 2510710.6467035\n",
            "1999798 2510713.06555559\n",
            "1999800 2510715.52452644\n",
            "1999800 -72.8099221737424 1906.33495391929 1979.14487609303 640.176047821767 4.83915892235459 17576000\n",
            "1999802 2510717.96205966\n",
            "1999804 2510720.39119268\n",
            "1999806 2510722.85446735\n",
            "1999808 2510725.30655807\n",
            "1999810 2510727.80047481\n",
            "1999812 2510730.25142454\n",
            "1999814 2510732.73295313\n",
            "1999816 2510735.1730084\n",
            "1999818 2510737.63758701\n",
            "1999820 2510740.1034511\n",
            "1999820 -73.5619761276205 1861.52756190394 1935.08953803156 625.129049352474 4.70534824039131 17576000\n",
            "1999822 2510742.56227386\n",
            "1999824 2510745.06266715\n",
            "1999826 2510747.50134167\n",
            "1999828 2510749.97849568\n",
            "1999830 2510752.38619924\n",
            "1999832 2510754.85763872\n",
            "1999834 2510757.28717916\n",
            "1999836 2510759.75453992\n",
            "1999838 2510762.21076025\n",
            "1999840 2510764.66859814\n",
            "1999840 -73.9268893705434 1908.79991167764 1982.72680104818 641.003817838021 4.81785437418541 17576000\n",
            "1999842 2510767.13911883\n",
            "1999844 2510769.5907843\n",
            "1999846 2510772.0868223\n",
            "1999848 2510774.51704339\n",
            "1999850 2510776.98907835\n",
            "1999852 2510779.44887433\n",
            "1999854 2510781.90958609\n",
            "1999856 2510784.37207026\n",
            "1999858 2510786.82935325\n",
            "1999860 2510789.30005279\n",
            "1999860 -74.0176432254867 1893.68271994458 1967.70036317006 635.927236706283 4.77428021100171 17576000\n",
            "1999862 2510791.74639571\n",
            "1999864 2510794.22009622\n",
            "1999866 2510796.69078504\n",
            "1999868 2510799.14966081\n",
            "1999870 2510801.61162389\n",
            "1999872 2510804.04479734\n",
            "1999874 2510806.52809851\n",
            "1999876 2510808.98187445\n",
            "1999878 2510811.50750751\n",
            "1999880 2510813.95928689\n",
            "1999880 -73.7779891564607 1866.33605569893 1940.11404485539 626.743814138338 4.70527058373666 17576000\n",
            "1999882 2510816.45661958\n",
            "1999884 2510818.89714308\n",
            "1999886 2510821.3726873\n",
            "1999888 2510823.83418694\n",
            "1999890 2510826.34259338\n",
            "1999892 2510828.81539579\n",
            "1999894 2510831.28763082\n",
            "1999896 2510833.74950038\n",
            "1999898 2510836.19780844\n",
            "1999900 2510838.67141243\n",
            "1999900 -73.338094227132 1841.33839752772 1914.67649175485 618.34922326125 4.64711422695764 17576000\n",
            "1999902 2510841.08278048\n",
            "1999904 2510843.5689107\n",
            "1999906 2510846.01588311\n",
            "1999908 2510848.52475749\n",
            "1999910 2510850.99542243\n",
            "1999912 2510853.47581408\n",
            "1999914 2510855.97591778\n",
            "1999916 2510858.43002484\n",
            "1999918 2510860.9109188\n",
            "1999920 2510863.32709496\n",
            "1999920 -72.77322755931 1853.61554773779 1926.3887752971 622.472075587825 4.68917496580966 17576000\n",
            "1999922 2510865.80852293\n",
            "1999924 2510868.25084383\n",
            "1999926 2510870.73067096\n",
            "1999928 2510873.19771436\n",
            "1999930 2510875.69086914\n",
            "1999932 2510878.18321437\n",
            "1999934 2510880.65928173\n",
            "1999936 2510883.12870811\n",
            "1999938 2510885.59620818\n",
            "1999940 2510888.08776432\n",
            "1999940 -72.0878654016605 1847.30842865769 1919.39629405935 620.354049814054 4.68530082608489 17576000\n",
            "1999942 2510890.5542691\n",
            "1999944 2510893.07522303\n",
            "1999946 2510895.53174184\n",
            "1999948 2510898.02481377\n",
            "1999950 2510900.45772612\n",
            "1999952 2510902.94216223\n",
            "1999954 2510905.40280777\n",
            "1999956 2510907.91434553\n",
            "1999958 2510910.36544391\n",
            "1999960 2510912.84831914\n",
            "1999960 -71.3911668273056 1899.27597150978 1970.66713833709 637.805534994905 4.83376997362998 17576000\n",
            "1999962 2510915.28942165\n",
            "1999964 2510917.72287606\n",
            "1999966 2510920.2084867\n",
            "1999968 2510922.65827608\n",
            "1999970 2510925.17100081\n",
            "1999972 2510927.63251641\n",
            "1999974 2510930.11615221\n",
            "1999976 2510932.55887403\n",
            "1999978 2510935.03582083\n",
            "1999980 2510937.50772112\n",
            "1999980 -70.6567590828379 1830.21708683979 1900.87384592263 614.614519290073 4.66770148185192 17576000\n",
            "1999982 2510940.00220446\n",
            "1999984 2510942.49019016\n",
            "1999986 2510944.96593806\n",
            "1999988 2510947.45538797\n",
            "1999990 2510949.90763943\n",
            "1999992 2510952.40352295\n",
            "1999994 2510954.86466917\n",
            "1999996 2510957.34274932\n",
            "1999998 2510959.81607574\n",
            "2000000 2510962.28911791\n",
            "2000000 -70.0395469212817 1919.09444343825 1989.13399035953 644.460876967705 4.91079646730865 17576000\n",
            "100000000    644.46088   -70.039547            0    1849.0549    4.9107965 \n",
            "Loop time of 5489.55 on 2 procs for 100000000 steps with 1000 atoms\n",
            "\n",
            "Performance: 31.478 ns/day, 0.762 hours/ns, 18216.426 timesteps/s\n",
            "91.9% CPU use with 2 MPI tasks x 1 OpenMP threads\n",
            "\n",
            "MPI task timing breakdown:\n",
            "Section |  min time  |  avg time  |  max time  |%varavg| %total\n",
            "---------------------------------------------------------------\n",
            "Pair    | 977.88     | 983.4      | 988.91     |  17.6 | 17.91\n",
            "Neigh   | 4.4301     | 4.4394     | 4.4487     |   0.4 |  0.08\n",
            "Comm    | 1659.8     | 1660.4     | 1661.1     |   1.5 | 30.25\n",
            "Output  | 2.8537     | 2.8561     | 2.8586     |   0.1 |  0.05\n",
            "Modify  | 2060.6     | 2087.9     | 2115.3     |  59.8 | 38.03\n",
            "Other   |            | 750.5      |            |       | 13.67\n",
            "\n",
            "Nlocal:    500 ave 503 max 497 min\n",
            "Histogram: 1 0 0 0 0 0 0 0 0 1\n",
            "Nghost:    302.5 ave 312 max 293 min\n",
            "Histogram: 1 0 0 0 0 0 0 0 0 1\n",
            "Neighs:    276 ave 279 max 273 min\n",
            "Histogram: 1 0 0 0 0 0 0 0 0 1\n",
            "\n",
            "Total # of neighbors = 552\n",
            "Ave neighs/atom = 0.552\n",
            "Neighbor list builds = 20074\n",
            "Dangerous builds = 0\n",
            "Total wall time: 1:40:48\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "Er07fcZhNvw4"
      },
      "source": [
        "# Data Analysis"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "HqrxRZsB0EJ1"
      },
      "source": [
        "## TOLUENE 550"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "EI50tDtH1Ufw"
      },
      "source": [
        "### Equilibration fluctuation"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 547
        },
        "id": "Trgi_BSny8VU",
        "outputId": "a47d5c4f-a4db-4337-f2f8-31c8a9473204"
      },
      "source": [
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "\n",
        "# Caricamento del file\n",
        "THERMO_file = np.genfromtxt('/content/thermodynamics_equilibration_550.dat', delimiter=' ')\n",
        "\n",
        "time = THERMO_file[:, 0]\n",
        "T = THERMO_file[:, 4]\n",
        "P = THERMO_file[:, 5]\n",
        "V = THERMO_file[:, 6]\n",
        "\n",
        "# Calcolo della media\n",
        "P_media = np.mean(P)\n",
        "\n",
        "# Plot della pressione e del suo valore medio\n",
        "plt.figure(1)\n",
        "plt.plot(time, P)\n",
        "plt.axhline(P_media)\n",
        "print('P_media: ', P_media)\n",
        "\n",
        "# Calcolo della media\n",
        "T_media = np.mean(T)\n",
        "\n",
        "# Plot della pressione e del suo valore medio\n",
        "plt.figure(2)\n",
        "plt.plot(time, T)\n",
        "plt.axhline(T_media)\n",
        "print('T_media: ', T_media)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "P_media:  4.136650176177796\n",
            "T_media:  549.909341039644\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "wOKrZ25eFT0p"
      },
      "source": [
        "### Diffusion coefficient"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 872
        },
        "id": "ndRb3zFkFg0E",
        "outputId": "2d874f79-5ffd-4915-f124-4812b6a00e2a"
      },
      "source": [
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "from scipy.optimize import curve_fit\n",
        "\n",
        "MSD_file = np.genfromtxt('/content/msd_550.dat', delimiter=' ')\n",
        "time = MSD_file[:, 0]\n",
        "msd = MSD_file[:, 1]\n",
        "plt.figure(1)\n",
        "plt.xlabel(\"t [fs]\")\n",
        "plt.ylabel(\"MSD [Angstrom^2]\")\n",
        "plt.title(\"MSD vs Tempo (Scala lineare)\")\n",
        "plt.plot(time,msd)\n",
        "\n",
        "plt.figure(2)\n",
        "plt.loglog(time,msd)\n",
        "plt.xlabel(\"t [fs]\")\n",
        "plt.ylabel(\"MSD [Angstrom^2]\")\n",
        "plt.title(\"MSD vs Tempo (Scala logaritmica)\")\n",
        "\n",
        "def linea_retta(t,D):\n",
        "  return 6*D*t\n",
        "\n",
        "D, err = curve_fit(linea_retta,time,msd)\n",
        "plt.figure(3)\n",
        "plt.plot(time,msd)\n",
        "plt.plot(time,linea_retta(time,D), '--')\n",
        "plt.xlabel(\"t [fs]\")\n",
        "plt.ylabel(\"MSD [Angstrom^2]\")\n",
        "plt.title(\"MSD vs Tempo (Scala logaritmica)\")\n",
        "plt.show()\n",
        "print(D)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "stream",
          "text": [
            "[0.18621044]\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "wHwcYLDeoU7P"
      },
      "source": [
        "### Ideal gas law  "
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "8Uha2Kvwov0U",
        "outputId": "16d17b5e-68fc-4bad-ef7c-82accfeb06c9"
      },
      "source": [
        "import numpy as np\n",
        "\n",
        "# Caricamento del file\n",
        "THERMO_file = np.genfromtxt('/content/thermodynamics_550.dat', delimiter=' ')\n",
        "\n",
        "# Vettori colonna\n",
        "T = THERMO_file[:, 4]\n",
        "P = THERMO_file[:, 5]\n",
        "V = THERMO_file[:, 6]\n",
        "\n",
        "# Valori medi\n",
        "T_sim = T.mean()\n",
        "P_sim = P.mean()\n",
        "V_sim = V.mean()*10**(-27) #conversione in litri\n",
        "\n",
        "# Legge dei gas ideali\n",
        "P_ideal = (1000/(6.022*10**23))*0.0821*T_sim/V_sim\n",
        "\n",
        "# Scostamento percentuale\n",
        "dP = (P_sim-P_ideal)/P_ideal*100\n",
        "\n",
        "print('P_ideal: ', P_ideal,'atm') \n",
        "print('P_sim: ', P_sim,'atm') \n",
        "print('Scostamento percentuale: ', dP, '%')"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "P_ideal:  4.2662351302932775 atm\n",
            "P_sim:  4.132817859225389 atm\n",
            "Scostamento percentuale:  -3.127283588298545 %\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "BLw0n3PRlTYO"
      },
      "source": [
        "## TOLUENE 573"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "UQo8PvfYlTYR"
      },
      "source": [
        "### Equilibration fluctuation"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 547
        },
        "id": "evniZcQalTYR",
        "outputId": "3c03e129-33d7-407e-c783-fa51774fd1c7"
      },
      "source": [
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "\n",
        "# Caricamento del file\n",
        "THERMO_file = np.genfromtxt('/content/thermodynamics_equilibration_573.dat', delimiter=' ')\n",
        "\n",
        "time = THERMO_file[:, 0]\n",
        "T = THERMO_file[:, 4]\n",
        "P = THERMO_file[:, 5]\n",
        "V = THERMO_file[:, 6]\n",
        "\n",
        "# Calcolo della media\n",
        "P_media = np.mean(P)\n",
        "\n",
        "# Plot della pressione e del suo valore medio\n",
        "plt.figure(1)\n",
        "plt.plot(time, P)\n",
        "plt.axhline(P_media)\n",
        "print('P_media: ', P_media)\n",
        "\n",
        "# Calcolo della media\n",
        "T_media = np.mean(T)\n",
        "\n",
        "# Plot della pressione e del suo valore medio\n",
        "plt.figure(2)\n",
        "plt.plot(time, T)\n",
        "plt.axhline(T_media)\n",
        "print('T_media: ', T_media)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "P_media:  4.309360045485842\n",
            "T_media:  572.8958950069373\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "QPWmYMjWlTYS"
      },
      "source": [
        "### Diffusion coefficient"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 872
        },
        "id": "bolJRw2RlTYS",
        "outputId": "af6b67c6-e521-411d-8711-cf07e496968b"
      },
      "source": [
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "from scipy.optimize import curve_fit\n",
        "\n",
        "MSD_file = np.genfromtxt('/content/msd_573.dat', delimiter=' ')\n",
        "time = MSD_file[:, 0]\n",
        "msd = MSD_file[:, 1]\n",
        "plt.figure(1)\n",
        "plt.xlabel(\"t [fs]\")\n",
        "plt.ylabel(\"MSD [Angstrom^2]\")\n",
        "plt.title(\"MSD vs Tempo (Scala lineare)\")\n",
        "plt.plot(time,msd)\n",
        "\n",
        "plt.figure(2)\n",
        "plt.loglog(time,msd)\n",
        "plt.xlabel(\"t [fs]\")\n",
        "plt.ylabel(\"MSD [Angstrom^2]\")\n",
        "plt.title(\"MSD vs Tempo (Scala logaritmica)\")\n",
        "\n",
        "def linea_retta(t,D):\n",
        "  return 6*D*t\n",
        "\n",
        "D, err = curve_fit(linea_retta,time,msd)\n",
        "plt.figure(3)\n",
        "plt.plot(time,msd)\n",
        "plt.plot(time,linea_retta(time,D), '--')\n",
        "plt.xlabel(\"t [fs]\")\n",
        "plt.ylabel(\"MSD [Angstrom^2]\")\n",
        "plt.title(\"MSD vs Tempo (Scala logaritmica)\")\n",
        "plt.show()\n",
        "print(D)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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Ileug81tQJDLQ4fmd3xKBiFQEJgJlAAXGqOq7qeYR4F2gExADDFDV1f6KyRhjUluy8wTPTVtF4zPzGNjybp7uXIeQ6N+gaKVcWQ2UFn+WCBKBx1V1tYgUAlaJyDxV3eQxz81ATffVHBjt/jXGGL+Kjk3glblb2LB8AWMjxlItbB/UvQny1IdilQMdXpbyWyJQ1UPAIXc4WkQ2A5GAZyLoBkxUVQWWikhRESnnLmuMMX6xYMtRXpy+kr4xn/NS+FykYBnoMgVqdAh0aAGRJW0EIlIFaAQsSzUpEtjv8T7KHfe3RCAig4HBAJUqVfJXmMaYXO7k+Xhemr2J6X8cYFqB12iSZy00GQDXD4eIIoEOL2D8nghEpCAwDXhUVc9eyjpUdQwwBqBp06aaieEZY4LA8XNxjP11FzOWbCY6MYSH29emfvWXIUShaptAhxdwfk0EIhKGkwS+UNXpacxyAKjo8b6CO84YYy7b0ehYRi/cyeTl+2idvJIf8o0nuckdFL+hO1Ar0OFlG/68akiAj4HNqvpWOrPNBB4UkSk4jcRnrH3AGHO5zsYmMHbRLsb9upuCSaeZVHIqjc/Oh+J1oWmPQIeX7fizRHAN0A9YLyJr3HHPApUAVPVDYA7OpaM7cC4fHejHeIwxuVxsQhKfL93LBwt2cComgSeqR3H/iVcJPRcN1z0Lrf8P8uQNdJjZjj+vGvoN8HoRrnu10AP+isEYExwSk5KZvvoA78zfxsEzsVxbsyRP3Xgl9fMehNkznE7iStcOdJjZlt1ZbIzJsVSV7zcc5s0ft7Lz2HkaRhbis4abqJ40Hyq8DRSBe+YGOsxszxKBMSbHSU5WFm47yjvzt7Mu6gw1ShdkYvcSXLtlBLLsN6ji0UmcuShLBMaYHCM2IYnpqw/w8W+72HnsPJFF8/HmbXW4LX4WIfNfhtC80PU9aHx30HQPkRksERhjsr2EpGQmLdvHez9t58T5eOpFFuadOxrSqX458sYeh5FvQvX20Pm/ULh8oMPNcSwRGGOyteW7T/L09HXsOnaeltVK8EjHmjSvWABZNwVC7oaCpWHIb1CkopUCLpElAmNMtvXlin0M/WYDkcXyMe7upnSoXRo5sArGPAjHNjs//jU6OD2FmktmicAYk+0kJSuvfb+FMYt2cW3NknzQtzGFQ+Lhh6GwdJRT/dNnatB2EpfZLBEYY7KVmPhEHpmyhnmbjnB3y8o836UOeUJDYGJP2LUQmg6CjsMgonCAI809LBEYY7KN4+fiGDRhJeujTjOsax0GNC4GyXEQmg/a/gvaPAVVrgl0mLlO7n0IpzEmR9l9/Dw9Rv/O1sNn+fCuJgwosRlGtYCFrzozVG5lScBPrERgjAm4P/adYtCElQB8dVcNGqx7BjZOhzL1oE63AEeX+1kiMMYE1LxNR3ho8mrKFI7gy/bnKTvjeog/D+2eg9aPQmhYoEPM9SwRGGMC5rOle3nh2w3UjyzCxwOupmTMLihd17kxrPSVgQ4vaFgiMMZkOVXlzR+3MmrBdoaXX86dFc4QVrA1FKwNA78LdHhBxxKBMSZLJSQl8+z09axcvYKfS0yk6sm1ULQdJMRCWESgwwtKlgiMMVkmJj6RBz9fwRU7xzMvYjqhSfmg2wfQsK91DxFAlgiMMVniWHQc905YwaED+xhdcA55qt/gtAUUKhvo0IKeJQJjjN8t2XqABV++y7aEtrzXrwPhkUugcKSVArIJSwTGGL9JSla++mYaTdc+z7MhB7irW1sq1SkT6LBMKukmAhFZ58Pyx1TVen0yxvyPo8dPsPLTx7jj3LecDi9NbI+pVLryhkCHZdLgrUQQCnTyMl2AmZkbjjEmN1i49Sj5Jt9GJ9azvWofavZ+HcILBToskw5vieAfqrrX28Ii8s9MjscYk4PFR5/k7YV7GL34ED1K9qV8xyuo2dAqDbK7dBOBqv52sYV9mccYExyOLptKnu+fpEhCa/q1eJqhnW8iIiw00GEZH6Tb+6iIFBaRV0TkMxHpk2raKP+HZozJEaKPcOCjnpSeey9HtQj1b7yHEd3rWRLIQbx1Q/0pTjvANOBOEZkmIuHutBZ+j8wYk+3Fbf6emLebUPLgQr4oOIBCD/3KNde2D3RYJoO8tRFUV9Ue7vAMERkK/Cwit2RBXMaYbG7vifO8POc4/RMrsa3JMPp16eg8SczkON4SQbiIhKhqMoCqviwiB4BFQMEsic4Yk70kJ8OKcezfspyuu29HpDR9+s5gYK3SgY7MXAZviWAW0B6YnzJCVceLyGHgfX8HZozJZo5vJ/GbB8hzYBm7khpQs3QY7/RtQcXi+QMdmblM3q4aeiqd8d8DNf0WkTEme0lKIHnxe+jCVzmfnJeXEodQvs09TOlQkzCrCsoVLtrFhIgUUtXorAjGGJP9bN+3n7IL3mJRYkNmlH2E/7u1DXXKFw50WCYTeU0EIhIJTALaZk04xphsISGW5NWfMfp8W975aQc1wv/Lfbe2ZkyjSMQ6ist1vPU1VBeYAtyXdeEYYwJu7xISZzxAnlM7+T3+GW6odwMjunWkeIG8gY7M+Im3EsECoLuqLs2qYIwxARQXjc5/EVkxliOU4vnkoXS/rTc9m1SwUkAu5y0RrABuBX6/lBWLyCdAF+CoqtZLY/p1wLfAbnfUdFUdfinbMsZcvrPje1Hw0BI+TbyJuaXv5bXeLalWyq4UDwbeEsEtwGgReT29K4guYjwwEpjoZZ5fVbXLJazbGJMZYk7yx+FY3lkYRfSeGyicrzMdOndhcrNKdnNYEPF2+WgSMFhEnr+UFavqIhGpcolxGWP8bNcvX1Dil2dZFt+a9eEDGHzTLfRrUZkC4fa8qmBz0W/cz9U1LUVkLXAQeEJVN/pxW8YYYN2WrcR/+380vbCYTVSjRMu7+LVjO0sAQcynb15EigEVPedX1dWXue3VQGVVPScinYAZpHOjmogMBgYDVKpU6TI3a0xwWr3vFAtnfc6go/8hXBJZWu1h6t8+lDr5IgIdmgkwX24oGwEMAHYC6o5WnO4nLpmqnvUYniMio0SkpKoeT2PeMcAYgKZNm2rq6caY9G0/Es3LczazcOsxmuQvyO3FG1Di9ndpUf7KQIdmsglfSgS9cHoijc/MDYtIWeCIqqqINMPpEvtEZm7DmGB2Oiaed37cTOjKcdySZz/Nb/ovd7e8kQLhAwMdmslmfEkEG4CiwNGMrFhEJgPXASVFJAp4AQgDUNUPgZ7A/SKSCFwA7lRVO9s35jIlJStfLNvLNz/8xHPJo2mSZzvx1TqS95pICLN2APO/fDkqXgH+EJENQFzKSFX1+lwCVe19kekjcS4vNcZkki2Hz/Lc16tpcehzvgqbgeQvCJ3Gkrf+7WA3hZl0+JIIJgCvAeuBZP+GY4y5FBfikxi5YDsf/bKLyhExPJz/R/Jc0RW5+XUoWCrQ4ZlszpdEEKOq7/k9EmPMJVm49SgjZqzimrNz6X7VQIZ2qUvepGugcLlAh2ZyCF8Swa8i8gowk79XDV3u5aPGmMtw5Gwsw2dt4tiGn5kQ8TEVwg7C1bdBgbyAJQHjO18SQSP3r+cD6y/78lFjzKVRVb5auZ+3v1vFw8lf0Cd8HlqkMtzyLVS7LtDhmRzIlzuL22VFIMaYi9t3IoZnvlnH4h0nmF34berGr4MWDyDth0LeAoEOz+RQvtxQVgTn0s827qhfgOGqesafgRlj/pKUrIz/fQ/jflhBQkgEL996FXXKvoGEhEDFqwMdnsnhfKka+gTnXoJe7vt+wKfAbf4Kyhjzl/0nY3j8yzWU2f8dP0Z8hjTqQ8HmtwCVAx2aySV8SQTVVbWHx/sXRWSNvwIyxvxl7vpDvPH1Qp5jHO3zrkTLNkKa9Qt0WCaX8SURXBCR1qr6G4CIXINzJ7Axxk9UlVELd7Jq3mRmhY8iX2gytH8JaX4/hNrdwSZz+XJEDQEmum0FAKeA/v4LyZjgFpeYxDPT1jP9jwPcV7s+EdKSkM5vQInqgQ7N5FJeE4GIhAL9VPUqESkMf+811BiTuY6eOc/ssS/Q6sxWql7/Fg+2r4FI90CHZXI5r4lAVZNEpLU7bAnAGD/avn45cdP/yT26naORbSndpqL1D2SyhC9VQ3+IyExgKnA+ZaSqTvdbVMYEk8R4tk8fTuWNozgvBdjf7n0qtulnScBkGV8SQQTOcwI87yRWwBKBMZcpKVn56PtV3LnxU5ZEXEudez6gYpkKgQ7LBBlfEsE4VV3sOcK9csgYc6niYzi/9GPu39aERTtOcfKqz3iiZ1siwkIDHZkJQr4kgveBxj6MM8b4YvciYqc9QIFz+5Ckobx6253c2cyexW0CJ91EICItgVZAKRF5zGNSYcBOW4zJqNgzXJgzlHzrPuNwchneyjeCJ/r1p36FIhdf1hg/8lYiyAsUdOcp5DH+LM5jJo0xPkpOVo6O6UGpkysZm9SFmFZP8XrHelYVZLKFdBOBqv4C/CIi41V1L4CIhAAF7VJSY3x0/jgbjyfy7OydhBzqQt0K/RjYqwfVSxUMdGTG/MmnZxaLyBAgCVgBFBaRd1X1Df+GZkwOpsqF1VPQOf9icVxrDkQM5Llet9OtYXnELgs12YwviaCOqp4Vkb7AXOBpYBVgicCYNOiZKI5OfoAyhxfyR3INYuvewU/drqNI/rBAh2ZMmnxJBGEiEgZ0B0aqaoKIqJ/jMiZHOrpiOoXmPECh5CTGFLiPZnc8w8OVSwQ6LGO88iURfATsAdYCi0SkMk6DsTHGFZeYxEe/7GLugpM8E1qLI9eM4J4O15AnNCTQoRlzUb48qvI94D2PUXtFxB5faQxAUiIHvv8vm9Ys4a3o++jcoDFXdL6LNkUiAh2ZMT7z5VGVj6Ux+oyIrFJVe0CNCVqxUes4OWkwkTGb2RHSjAn9GtC2bsVAh2VMhvlSNdTUfc1y33cB1gFDRGSqqr7ur+CMyZYS49g/cwTl1o0iTAswucpwutx5P4Xy5Q10ZMZcEl8SQQWgsaqeAxCRF4DvcB5mvwqwRGCCRnRsAu/NWsaQDeP5Kexait/2X3rXqRHosIy5LL4kgtJAnMf7BKCMql4Qkbh0ljEmd4k/z/a5IxmwsRGHohMo0HwK/+jUknx57c5gk/P5kgi+AJaJyLfu+67AJBEpAGzyW2TGZBPRm+YT/82D1Ew4RKv8I+hzfz8aVSoW6LCMyTS+XDU0QkS+x+mADmCIqq50h/v6LTJjAu3CafZ/+TgV93zNbi3L/Hof8tKtvQjPY6UAk7v4UiIAWA0cSJlfRCqp6j6/RWVMgJ25kMCR97pRLWYdX+frSd0+/+GOSmUCHZYxfuHL5aMPAS8AR3D6GxKcJ5Q18G9oxgTAuaOsO5rIP6duoczZHtzR/Alu69zZbgwzuZovJYJHgFqqesLfwRgTMKokr51C/Ox/sTyuNVrgXob+ox+NrS3ABAFfEsF+4Iy/AzEmYE7vJ3bGw0Ts+ZmNyTU5ULUnc3pfS5F81kmcCQ6+JIJdwEIR+Q6Py0hV9S1vC4nIJzg3nx1V1XppTBfgXaATEAMMUNXVGYjdmMu35TsSv76X5MQkXk4eQPXOj/J8syrWVbQJKr4kgn3uK6/7AqeN4GLGAyOBielMvxmo6b6aA6Pdv8b4nyqnLyTw3tIEWsXVYmrph3m2z41ULlEg0JEZk+V8uXz0Rc/3IhKBcy/BxZZbJCJVvMzSDZioqgosFZGiIlJOVQ9dbN3GXLKkRFjyPkd3rKbrwf6cOJeXEteP44M21axB2AQtny4fFZFQ4EagN3A98Bsw9TK3HYnT/pAiyh33P4lARAYDgwEqVap0mZs1QevwepJnPEDI4bWsTrqa4kWVj/tfQ71Ie3i8CW5eE4GItAX64NTjLweuAaqpakwWxPYnVR0DjAFo2rSpPRTHZExCLCx6A/3tHU5TkGfjH6V8yzv45qZa9vB4Y/CSCEQkCqdtYDTwhKpGi8juTEwCBwDPPnsruOOMyVSJF86SsGQccxJbMSbfIJ7v25prapQMdFjGZBveSgRf4zye8g4gye1rKDPPxmcCD4rIFJxG4jPWPmAyTdw5WPkJ26rdzZPTt7P/3Ktc2/BKvrqlnj072JhU0k0EqvqoiPwfcB1O28DrQMu8kHUAABeMSURBVBER6QXMSemWOj0iMtldtqRbungBCHPX/SEwB6fKaQfO5aMDL/fDGAPAjp/QWY/AmSiGJ8axL+9VvNi7LbdcVT7QkRmTLXltI3Cv6FkALHAfYJ/SYDwK8Fq2VtXePqz7gQxFa4w3MSfhx+dgzRdEhUTyaNzzRDZox/yudShRMDzQ0RmTbfna6RyqmgDMBmaLSD7/hWTMpUma3BfZv4zRid34Ml9vnu/XmI51rKM4Yy7GW2PxGFUdnNY0Vb1wsXmMyRLRRyC8IL/vv8CEo93ZH9eFhs3aMPvmKykcYW0BxvjCW4mgu4jEepkuQLtMjscY36jCmknoD8/yW8Eb6RfVjcolruDVexvQsnqJQEdnTI7iLRE86cPyv2ZWIMb47NRemP0o7PyZtVKbYWev5h9tqvFoxyvs0ZHGXAJvVw1NyMpAjPHJ5lkkTx9MfKLycsIAVpa8lbdvb0iDCkUDHZkxOZbPjcXGBJQqsYnJTN9dgDLxdRiR1J8e7Vvybdvq5M1jfQQZczksEZjsLSkBXfwuUVtX0ev4vRw6E0vH2q8yoUsd6ynUmExiicBkXwfXkDjjAfIc3cDapBaUKx3CW71aWGOwMZnsYp3O9cd9VKU7ajPwnqqm94wBYy5fwgX45TWSF7/HaS3E80mP0+TGfnzdqgohIfbAGGMym7f7CPoDjwKPAatxLhdtDLwhIqqqn2VNiCbYnD93Fl3yKd8lXMvXJYbwUu/W1CpbKNBhGZNreSsR3A/cqqp7PMb9LCI9gCmAJQKTeeKiYcXHrIq8i8e+3kR0zKv0atOIz6+vSXgeuyTUGH/ylggKp0oCAKjqHhEp7L+QTNDZPt/pJO7sAd6MTyCxcBNG33cDzatZW4AxWcFbIrhwidOM8U3MSfjhWVg7mb1SgcfiXqBmkw581KW2dQ9hTBbylghqi8i6NMYLUM1P8ZggkjipDxK1nJGJtzKrcB+G921MK3tgjDFZzmsiyLIoTPCIPgx5C/LjjnN8cag7xxO60br1dczqYN1DGBMo3rqY2Ov5XkRKAG2Afaq6yt+BmVxGFf74HP3hWX4pcCODD95K7XJ1eeOeBvbweGMCzNvlo7OBp1V1g4iUw7mEdCVQ3e1++p2sCtLkcCd3O53E7VrIH1KHEdEteaRDTR5oV8O6hzAmG/BWNVRVVTe4wwOBeap6t4gUAhYDlgjMxW2aiX7zD+KSYETCPawq0Y13721kpQBjshFviSDBY7gDMBZAVaNFJNmvUZmcTxVE2EYlDutVPH2hD93aNuPbjnZfgDHZjbdEsF9EHgKicO4o/h7AfUylXdtn0pYYD4vfRY9t5tMyz/Hq94coVuAJ3r63Ia2q2xVBxmRH3hLBIGA40BG4Q1VPu+NbAJ/6OzCTAx1YDTMfgiMbWFmwHa+uXEeb2hV4vWcDihfIG+jojDHp8HbV0FFgSBrjFwAL/BmUyWESLsCC/8CSkSTkK8WwiGeZcrI+z3S+kkGtqyJiHcUZk515u2poprcFVfWWzA/H5EjxMbBmEnsq96DXzpvRiCJMvq8xzaoWD3RkxhgfeKsaagnsByYDy3DuKDbGEXsWVoyFax4lMaIY717xOe8vPcnVVYrxQZ/GlC4cEegIjTE+8pYIygLXA72BPsB3wGRV3ZgVgZlsbNsPMPv/IPoQUQXq8c/fC7Au6gwDWlVhaOfahIXavQHG5CTp/seqapKqfq+q/XEaiHcAC0XkwSyLzmQv54/DtHthUi80vDDfNPqU9tOT2X8yhg/6NGbYLXUtCRiTA13sCWXhQGecUkEV4D3gG/+HZbKlL/tB1ApONXucIXvasuz3c9xYtxQvda9PqULhgY7OGHOJvDUWTwTqAXOAFz3uMjbB5OxBCC8M4QVJvuE/fLvxOM/8lkje0FjeuaMh3RqWt6uCjMnhvJUI7gLO4zyz+GGPf3YBVFXt4TS5mSqsngA//hsa9WN/s+d44rtYlu2Op12tUrzaowFlrEHYmFzB230EVtkbrE7ugpkPw55f0SrX8m3eTjz7ziJCRHi9RwNub1rBSgHG5CJe2whMENo4A74ZAqFhHL3udR7cXJ/lP56idY2SvNazAZFF8wU6QmNMJrNEYBxuJ3GUrU9yzRuYUHgwr8yLJiIs2koBxuRylgiCXWI8/PYWHNsCPT9lY1xJnjh8H5v/OEPnBuV4oWsdSheytgBjcjO/tgOIyE0islVEdojI02lMHyAix0Rkjfu615/xmFSiVsGYtrDwFZIllJHzNtFt5GKOn4tj7N1NnTuELQkYk+v5rUQgIqHABzh3J0cBK0RkpqpuSjXrl6pqN6llpfgYWPAyLB0FBcuy78ZPGbK8FJtW7qF7w/IMu6UuRfNbb6HGBAt/Vg01A3ao6i4AEZkCdANSJwKT1RJjYd1XJDXuz5iw/vx31iGK5o/jo35NuLFu2UBHZ4zJYv6sGorE6bQuRZQ7LrUeIrJORL4WkYpprUhEBovIShFZeezYMX/EmvvFnoFFb0BSIuQvzpaeP9F1Vw9eW3iQzg3KMe//2lgSMCZIBbqxeBZOR3ZxIvIPYALQPvVMqjoGGAPQtGlTzdoQc4Gtc51O4s4dITGyOSN3l2Xkzzsomj+vlQKMMX5NBAcAzzP8Cu64P6nqCY+344DX/RhP8Dl/HOY+BRumQem67Ow4hodmC5sObad7w/K80LUuxezJYcYEPX8mghVATRGpipMA7sTpzvpPIlJOVQ+5b28BNvsxnuDjdhKX2PZZRiV04b0v91I0f17G9GvCDVYKMMa4/JYIVDXR7bL6ByAU+ERVN4rIcGClqs7E6cPoFiAROAkM8Fc8QePMAYgoAuEF4aZX2HEynod+imPzIbsiyBiTNlHNWVXuTZs21ZUrVwY6jOwnORlWj4cfn4fG/Yjv+DKjFu5g5M87KFYgLy93r2elAGOCmIisUtWmaU0LdGOxyQwndjqdxO39Daq2ZVuV3jzywWI2HzrLrY0ieaFrHSsFGGPSZYkgp9v4jdtJXDiJXd9n5MnmjJy4k2IFrC3AGOMbSwQ51Z+dxDWAWp3Y1vAZHp1zhE2HdlhbgDEmQywR5DSJcbDoTTi+FW6fQELRqnxQ7BlGfrrDrggyxlwSSwQ5yf4VMPNBp6fQBney5cBxHp++hY0Hz9KtYXmG2X0BxphLYIkgJ4g/Dz+/BEtHQ+FIknp/xQdR1Xh/9AqK5Auzu4ONMZfFEkFOkBjn3B189b1ENXmKh6dvZ/W+bXS9qjzDb7FSgDHm8lgiyK4unIblY6D1Y5C/ODywnJnbYhg6+g8A3r2zId0aptWHnzHGZIwlguxo82z47nE4fwwqX0NM+ea8MHsvU1dF0bhSUd69sxEVi+cPdJTGmFzCEkF2cu4ozHkSNs2AMvWhzxS2hFTnwZGL2XnsHA+1r8EjHWqSJ9SvD5YzxgQZSwTZyVd3w4FV0P7faKuHmbzqMC/OWkzhfGF8Pqg519QoGegIjTG5kCWCQDu9H/IVhfBCcPNrkCcfZwpUZehX65m97hDX1izJW70aUqpQeKAjNcbkUlbHECjJybB8LIxqAQv+44wrdxXzjxXh+rd/Ye6Gwzx1Uy0mDGxmScAY41dWIgiE49th5kOwbwlUawfNh3DqfDwvztrIjDUHubJsIT7ufzX1KxQJdKTGmCBgiSCrbZjudBIXFgHdRkHDPny/8TDPzVjE6Zh4HulQkwfa1SBvHiusGWOyhiWCrJLSSVz5hlC7K9z4H05IUZ6f/AffrTtE3fKFmXDP1dQtb6UAY0zWskTgbwmxsOh1OL4Nen0GxauhPcbx3fpDPP/tIqJjE3j8+isYcl11wuyyUGNMAFgi8Kd9S+HbB+HEdriqDyTFc+wC/HvGBr7feJgGFYrwRs8W1CpbKNCRGmOCmCUCf4g7Bz8Nd7qIKFIB7pqGVu/At2sOMmzWRmLik/jXTVdy37VV7eYwY0zAWSLwh6R42PQtNLsPOjzP0bgwnp24ivmbj9CoUlHe6NmAGqWtFGCMyR4sEWSWmJOw7CNo86TTSdyDy9HwwkxbfYDhszYSl5jM0E61uad1VUJDJNDRGmPMnywRZIZN38J3T0DMCajaBqpcw6G4vDwzeQULtx6jaeVivN6zAdVKFQx0pMYY8z8sEVyO6MMw5wnYPMt5dvBd09Cy9fly+T5e/m4zCcnJPN+lDv1bVbFSgDEm27JEcDmmDoADq6HjMGj5EFFn43nmk+X8uv04zasW5/WeDahcokCAgzTGGO8sEWTU6X2Qr5jbSdzrEJaP5OI1mLR8H6/M2YwCI7rVpW/zyoRYKcAYkwNYIvBVcjKsGAvzX4TGd8PNr0K5Buw7EcO/xi1jya4TXFOjBK/e1sAeGmOMyVEsEfji2Fank7j9y6BGR2j5TxKSkvl08W7enred0BDhP7fWp3eziohYKcAYk7NYIriY9V/DjPshbwG49SNocAer95/m2fG/seVwNB2uLM3w7vWILJov0JEaY8wlsUSQnuRkCAmByCZQpzvc+DJnQovxxrcb+GLZPsoUiuDDuxpzY92yVgowxuRolghSS7gAC1+FEzvgjs+heFX0tjHMWneIEbN/4cS5OAa0qsLjN9SiYLjtPmNMzme/ZJ72/u60BZzYAY36QVIC20/EMXz2Jn7dfpz6kUX4xB4YY4zJZSwRAMRFw/xhsGIcFK0M/WZwpnxr3pm7jYlL9pI/byjDutahX0u7McwYk/tYIgBISoAt30GLfxLX5hmmrDnJu5MWciomnt7NKvH49VdQoqA9N9gYkzsFbyKIOQlLR0Pbf0H+4sQPWcbUDacZ+e4KDp2JpXnV4jzftY49McwYk+v5NRGIyE3Au0AoME5VX001PRyYCDQBTgB3qOoef8aEKmyaAXOehAunOF/xWiYdqsD43/dw4PQFGlcqypu3X0Wr6iXsaiBjTFDwWyIQkVDgA+B6IApYISIzVXWTx2yDgFOqWkNE7gReA+7wV0ycPeR0ErdlNmeK1uXDUq8w4bMYYuI307xqcV6+tR5tryhlCcAYE1T8WSJoBuxQ1V0AIjIF6AZ4JoJuwDB3+GtgpIiIqmpmB7Ng61FKfnUrNZN28FZCbz4+3InCZyO45aqy3NWiMvUirQrIGBOc/JkIIoH9Hu+jgObpzaOqiSJyBigBHPecSUQGA4MBKlWqdEnBFM0XxqwKjxGRrwClI2vzZcWiNKxY1B4VaYwJejmisVhVxwBjAJo2bXpJpYVGlYrRaGCvTI3LGGNyA3+eDh8AKnq8r+COS3MeEckDFMFpNDbGGJNF/JkIVgA1RaSqiOQF7gRmpppnJtDfHe4J/OyP9gFjjDHp81vVkFvn/yDwA87lo5+o6kYRGQ6sVNWZwMfAZyKyAziJkyyMMcZkIb+2EajqHGBOqnHPewzHArf7MwZjjDHe2SUzxhgT5CwRGGNMkLNEYIwxQc4SgTHGBDnJaVdrisgxYO8lLl6SVHctZxPZNS7IvrFZXBljcWVMboyrsqqWSmtCjksEl0NEVqpq00DHkVp2jQuyb2wWV8ZYXBkTbHFZ1ZAxxgQ5SwTGGBPkgi0RjAl0AOnIrnFB9o3N4soYiytjgiquoGojMMYY87+CrURgjDEmFUsExhgT5HJNIhCRm0Rkq4jsEJGn05geLiJfutOXiUgVj2nPuOO3isiNWRzXYyKySUTWichPIlLZY1qSiKxxX6m78PZ3XANE5JjH9u/1mNZfRLa7r/6pl/VzXG97xLRNRE57TPPn/vpERI6KyIZ0pouIvOfGvU5EGntM8+f+ulhcfd141ovI7yJylce0Pe74NSKyMovjuk5Eznh8X897TPN6DPg5ric9YtrgHlPF3Wl+2V8iUlFEFri/AxtF5JE05vHv8aWqOf6F0831TqAakBdYC9RJNc8/gQ/d4TuBL93hOu784UBVdz2hWRhXOyC/O3x/Slzu+3MB3F8DgJFpLFsc2OX+LeYOF8uquFLN/xBO9+Z+3V/uutsAjYEN6UzvBMwFBGgBLPP3/vIxrlYp2wNuTonLfb8HKBmg/XUdMPtyj4HMjivVvF1xnpHi1/0FlAMau8OFgG1p/D/69fjKLSWCZsAOVd2lqvHAFKBbqnm6ARPc4a+BDiIi7vgpqhqnqruBHe76siQuVV2gqjHu26U4T3LzN1/2V3puBOap6klVPQXMA24KUFy9gcmZtG2vVHURzjMz0tMNmKiOpUBRESmHf/fXReNS1d/d7ULWHV++7K/0XM6xmdlxZcnxpaqHVHW1OxwNbMZ5nrsnvx5fuSURRAL7Pd5H8b878s95VDUROAOU8HFZf8blaRBO1k8RISIrRWSpiHTPpJgyElcPtxj6tYikPHY0W+wvtwqtKvCzx2h/7S9fpBe7P/dXRqU+vhT4UURWicjgAMTTUkTWishcEanrjssW+0tE8uP8oE7zGO33/SVOlXUjYFmqSX49vnLEw+uDgYjcBTQF2nqMrqyqB0SkGvCziKxX1Z1ZFNIsYLKqxonIP3BKU+2zaNu+uBP4WlWTPMYFcn9layLSDicRtPYY3drdX6WBeSKyxT1jzgqrcb6vcyLSCZgB1MyibfuiK7BYVT1LD37dXyJSECfxPKqqZzNrvb7ILSWCA0BFj/cV3HFpziMieYAiwAkfl/VnXIhIR2AocIuqxqWMV9UD7t9dwEKcM4UsiUtVT3jEMg5o4uuy/ozLw52kKrb7cX/5Ir3Y/bm/fCIiDXC+w26qeiJlvMf+Ogp8Q+ZViV6Uqp5V1XPu8BwgTERKkg32l8vb8ZXp+0tEwnCSwBeqOj2NWfx7fGV2w0cgXjglm104VQUpDUx1U83zAH9vLP7KHa7L3xuLd5F5jcW+xNUIp3GsZqrxxYBwd7gksJ1MajTzMa5yHsO3Akv1r8ap3W58xdzh4lkVlzvflTgNd5IV+8tjG1VIv/GzM39vzFvu7/3lY1yVcNq9WqUaXwAo5DH8O3BTFsZVNuX7w/lB3efuO5+OAX/F5U4vgtOOUCAr9pf7uScC73iZx6/HV6bt3EC/cFrVt+H8qA51xw3HOcsGiACmuv8Uy4FqHssOdZfbCtycxXHNB44Aa9zXTHd8K2C9+4+wHhiUxXG9Amx0t78AuNJj2Xvc/bgDGJiVcbnvhwGvplrO3/trMnAISMCphx0EDAGGuNMF+MCNez3QNIv218XiGgec8ji+Vrrjq7n7aq37PQ/N4rge9Di+luKRqNI6BrIqLneeATgXkHgu57f9hVNdp8A6j++pU1YeX9bFhDHGBLnc0kZgjDHmElkiMMaYIGeJwBhjgpwlAmOMCXKWCIwxJhu7WEd5aczfy6MDu0k+LWNXDRljTPYlIm2Aczh9DdW7yLw1ga+A9qp6SkRKq3MDnFdWIjDGCxEpKiL/TGdaFRG5ICJrPMY9LCKbReSLdJap7nZjfM5fMZvcRdPoKM89jr53+z36VUSudCfdB3ygbkeDviQBsERgzMUUxenCPD07VbWhx/t/Aterat+0ZlbV1PMbcynGAA+pahPgCWCUO/4K4AoRWex2vuhTT6TW6Zwx3r0KVHfP+uep6pPpzSgiH+LcgTpXRD7B6VjtXXeyAm3U6WbYmEvmdk7XCpjq9KQPOF3kgPObXhPneQ8VgEUiUl9VT6dejydLBMZ49zRQz5ezeFUd4p6BtVPV4yIyC3hAVRe7/7yx/g7WBIUQ4HQ6x2QUzkNrEoDdIrINJzGsuNgKjTH+sRh4S0QeBoqq8xwMYy6LOl1U7xaR2+HPx1imPIJ0Bk5pALc31ytwOvHzyhKBMX6iqq8C9wL5gMUeDXrG+ExEJgNLgFoiEiUig4C+wCARSekEL+Upbj8AJ0RkE05nkU+qR9fj6bGqIWO8i8Z5jmyGiUh1VV0PrBeRq3G6z96SmcGZ3E9Ve6cz6X8agtW5H+Ax9+UzKxEY44V7NrVYRDaIyBsZXPxRd7l1ON0ez73YAsYEgt1QZswlcp8vO/tiN/mks+w5VS2Y6UEZcwmsRGDMpUsCinjeUHYxKTeU4TyMyJhswUoExhgT5KxEYIwxQc4SgTHGBDlLBMYYE+QsERhjTJD7fxhGf06EG1KKAAAAAElFTkSuQmCC\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "stream",
          "text": [
            "[0.19406967]\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "VZk6VJI3lTYS"
      },
      "source": [
        "### Ideal gas law  "
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "JjYr9iqNlTYT",
        "outputId": "6b34666d-64ba-44ef-e75c-66babc436244"
      },
      "source": [
        "import numpy as np\n",
        "\n",
        "# Caricamento del file\n",
        "THERMO_file = np.genfromtxt('/content/thermodynamics_573.dat', delimiter=' ')\n",
        "\n",
        "# Vettori colonna\n",
        "T = THERMO_file[:, 4]\n",
        "P = THERMO_file[:, 5]\n",
        "V = THERMO_file[:, 6]\n",
        "\n",
        "# Valori medi\n",
        "T_sim = T.mean()\n",
        "P_sim = P.mean()\n",
        "V_sim = V.mean()*10**(-27) #conversione in litri\n",
        "\n",
        "# Legge dei gas ideali\n",
        "P_ideal = (1000/(6.022*10**23))*0.0821*T_sim/V_sim\n",
        "\n",
        "# Scostamento percentuale\n",
        "dP = (P_sim-P_ideal)/P_ideal*100\n",
        "\n",
        "print('P_ideal: ', P_ideal,'atm') \n",
        "print('P_sim: ', P_sim,'atm') \n",
        "print('Scostamento percentuale: ', dP, '%')"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "P_ideal:  4.444895988829797 atm\n",
            "P_sim:  4.316737958792114 atm\n",
            "Scostamento percentuale:  -2.8832627435996194 %\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "nrngxMKmlvQK"
      },
      "source": [
        "## TOLUENE 590"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "bVcFjZ9XlvQL"
      },
      "source": [
        "### Equilibration fluctuation"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 547
        },
        "id": "WmSo90O5lvQL",
        "outputId": "a2432b27-be8d-4c9f-d0c1-ad34e2ecaca6"
      },
      "source": [
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "\n",
        "# Caricamento del file\n",
        "THERMO_file = np.genfromtxt('/content/thermodynamics_equilibration_590.dat', delimiter=' ')\n",
        "\n",
        "time = THERMO_file[:, 0]\n",
        "T = THERMO_file[:, 4]\n",
        "P = THERMO_file[:, 5]\n",
        "V = THERMO_file[:, 6]\n",
        "\n",
        "# Calcolo della media\n",
        "P_media = np.mean(P)\n",
        "\n",
        "# Plot della pressione e del suo valore medio\n",
        "plt.figure(1)\n",
        "plt.plot(time, P)\n",
        "plt.axhline(P_media)\n",
        "print('P_media: ', P_media)\n",
        "\n",
        "# Calcolo della media\n",
        "T_media = np.mean(T)\n",
        "\n",
        "# Plot della pressione e del suo valore medio\n",
        "plt.figure(2)\n",
        "plt.plot(time, T)\n",
        "plt.axhline(T_media)\n",
        "print('T_media: ', T_media)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "P_media:  4.435236641592485\n",
            "T_media:  590.1217043882558\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "NbfD9Da1lvQU"
      },
      "source": [
        "### Diffusion coefficient"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 876
        },
        "id": "pbT68m-dlvQU",
        "outputId": "490c6632-96f6-4f7c-8adf-2ecf80ab7f2a"
      },
      "source": [
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "from scipy.optimize import curve_fit\n",
        "\n",
        "MSD_file = np.genfromtxt('/content/msd_590.dat', delimiter=' ')\n",
        "time = MSD_file[:, 0]\n",
        "msd = MSD_file[:, 1]\n",
        "plt.figure(1)\n",
        "plt.xlabel(\"t [fs]\")\n",
        "plt.ylabel(\"MSD [Angstrom^2]\")\n",
        "plt.title(\"MSD vs Tempo (Scala lineare)\")\n",
        "plt.plot(time,msd)\n",
        "\n",
        "plt.figure(2)\n",
        "plt.loglog(time,msd)\n",
        "plt.xlabel(\"t [fs]\")\n",
        "plt.ylabel(\"MSD [Angstrom^2]\")\n",
        "plt.title(\"MSD vs Tempo (Scala logaritmica)\")\n",
        "\n",
        "def linea_retta(t,D):\n",
        "  return 6*D*t\n",
        "\n",
        "D, err = curve_fit(linea_retta,time,msd)\n",
        "plt.figure(3)\n",
        "plt.loglog(time,msd)\n",
        "plt.loglog(time,linea_retta(time,D), '--')\n",
        "plt.xlabel(\"t [fs]\")\n",
        "plt.ylabel(\"MSD [Angstrom^2]\")\n",
        "plt.title(\"MSD vs Tempo (Scala logaritmica)\")\n",
        "plt.show()\n",
        "print(D)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "stream",
          "text": [
            "[0.19887452]\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "HqDKhfUnlvQV"
      },
      "source": [
        "### Ideal gas law  "
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "bEd99GQhlvQX",
        "outputId": "32195e48-6e2b-45c4-fd46-ec2aa1a3f833"
      },
      "source": [
        "import numpy as np\n",
        "\n",
        "# Caricamento del file\n",
        "THERMO_file = np.genfromtxt('/content/thermodynamics_590.dat', delimiter=' ')\n",
        "\n",
        "# Vettori colonna\n",
        "T = THERMO_file[:, 4]\n",
        "P = THERMO_file[:, 5]\n",
        "V = THERMO_file[:, 6]\n",
        "\n",
        "# Valori medi\n",
        "T_sim = T.mean()\n",
        "P_sim = P.mean()\n",
        "V_sim = V.mean()*10**(-27) #conversione in litri\n",
        "\n",
        "# Legge dei gas ideali\n",
        "P_ideal = (1000/(6.022*10**23))*0.0821*T_sim/V_sim\n",
        "\n",
        "# Scostamento percentuale\n",
        "dP = (P_sim-P_ideal)/P_ideal*100\n",
        "\n",
        "print('P_ideal: ', P_ideal,'atm') \n",
        "print('P_sim: ', P_sim,'atm') \n",
        "print('Scostamento percentuale: ', dP, '%')"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "P_ideal:  4.576696207020087 atm\n",
            "P_sim:  4.451220834370224 atm\n",
            "Scostamento percentuale:  -2.7416146271059 %\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "84ofQzOPl_gx"
      },
      "source": [
        "## TOLUENE 620"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "2lTZvHa7l_gz"
      },
      "source": [
        "### Equilibration fluctuation"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 549
        },
        "id": "rJqgywZsl_gz",
        "outputId": "0b217c99-157a-48e1-9e7c-4ac768ac8ed9"
      },
      "source": [
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "\n",
        "# Caricamento del file\n",
        "THERMO_file = np.genfromtxt('/content/thermodynamics_equilibration_620.dat', delimiter=' ')\n",
        "\n",
        "time = THERMO_file[:, 0]\n",
        "T = THERMO_file[:, 4]\n",
        "P = THERMO_file[:, 5]\n",
        "V = THERMO_file[:, 6]\n",
        "\n",
        "# Calcolo della media\n",
        "P_media = np.mean(P)\n",
        "\n",
        "# Plot della pressione e del suo valore medio\n",
        "plt.figure(1)\n",
        "plt.plot(time, P)\n",
        "plt.axhline(P_media)\n",
        "print('P_media: ', P_media)\n",
        "\n",
        "# Calcolo della media\n",
        "T_media = np.mean(T)\n",
        "\n",
        "# Plot della pressione e del suo valore medio\n",
        "plt.figure(2)\n",
        "plt.plot(time, T)\n",
        "plt.axhline(T_media)\n",
        "print('T_media: ', T_media)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "P_media:  4.664710816889221\n",
            "T_media:  619.9764737062961\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "oOUQ_c6Gl_g0"
      },
      "source": [
        "### Diffusion coefficient"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 876
        },
        "id": "c0r57OAul_g0",
        "outputId": "54a04fa4-4fb1-48c1-bfad-598d73c0a968"
      },
      "source": [
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "from scipy.optimize import curve_fit\n",
        "\n",
        "MSD_file = np.genfromtxt('/content/msd_620.dat', delimiter=' ')\n",
        "time = MSD_file[:, 0]\n",
        "msd = MSD_file[:, 1]\n",
        "plt.figure(1)\n",
        "plt.xlabel(\"t [fs]\")\n",
        "plt.ylabel(\"MSD [Angstrom^2]\")\n",
        "plt.title(\"MSD vs Tempo (Scala lineare)\")\n",
        "plt.plot(time,msd)\n",
        "\n",
        "plt.figure(2)\n",
        "plt.loglog(time,msd)\n",
        "plt.xlabel(\"t [fs]\")\n",
        "plt.ylabel(\"MSD [Angstrom^2]\")\n",
        "plt.title(\"MSD vs Tempo (Scala logaritmica)\")\n",
        "\n",
        "def linea_retta(t,D):\n",
        "  return 6*D*t\n",
        "\n",
        "D, err = curve_fit(linea_retta,time,msd)\n",
        "plt.figure(3)\n",
        "plt.loglog(time,msd)\n",
        "plt.loglog(time,linea_retta(time,D), '--')\n",
        "plt.xlabel(\"t [fs]\")\n",
        "plt.ylabel(\"MSD [Angstrom^2]\")\n",
        "plt.title(\"MSD vs Tempo (Scala logaritmica)\")\n",
        "plt.show()\n",
        "print(D)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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ys3N59ovFPPPFInbl5HJ6r+Zce0wHOjRWAihIiUBEyhV3Z8zMNdz/4RxWbtnJgP2bcvMJnWnfqGayQyu1lAhEpNyYt2Yb93wwi68XbaRL01oM+93BHNK+7A4PnShKBCJS5qXvyOaxT+fzysRl1KxaiXvP6M5F/dKoVLFsDw+dKEoEIlKmjZy2irven0n6zmwu6p/GTcd3pn6NKskOq0xRIhCRMiknN4+HRs/l+a+W0DutLvef2YPuzeskO6wyKbJEYGatgKFAE8CBIe7+eIEyBjwODAB2AJe7+/dRxSQi5cPmjCyuG/YDXy3cwGWHtOaOU7tRWdVAey3KK4Ic4GZ3/97MagFTzGysu8+OKXMy0DF89AeeDn+KiBRq9qqtXPXqZNam7+KRc3pyXt9WyQ6pzIssEbj7amB1+Hybmc0BWgCxieAMYKi7OzDRzOqaWbNwWxGRnxk1fRWDh0+ndrVKvHnVwfROq5fskMqFhLQRmFkboDcwqcCqFsDymNcrwmU/SwRmNggYBJCWlhZVmCJSSuXmOX//ZB5P/3cRB7aux9O/6VNu5gsuDSJPBGZWE3gbuNHdt+7NPtx9CDAEoG/fvl6C4YlIKZe+I5vr3/iBL+av58J+adxzeneqVFJ7QEmKNBGYWWWCJPCau79TSJGVQGwFX8twmYgI89duY9DQyazcspMHzurBxf1bJzukcimytBr2CHoBmOPu/yii2EjgUgscDKSrfUBEAMbMXMNZT01g+65chv3uYCWBCEV5RXAYcAkww8ymhstuA9IA3P0Z4COCrqMLCbqPXhFhPCJSBuTlOf/8bAFPfLaAXq3q8uxvDqRpHbUHRCnKXkNfAcXO9BD2FvpDVDGISNmyLTObP745lU/nrOOcA1ty/5k9Um7ayGTQncUiUiosWr+dQUMns3TjDu45vTuXHtKaoIZZoqZEICJJN3b2Wm56cyqVK1Xg1YH9NWJogikRiEjS7MjK4e8fz+fFCUvo0aI2z17SlxZ1qyU7rJSjRCAiSTF+/npue3cGKzbv5DcHp3HHKd3UHpAkSgQiklCbM7K4/8M5vP39Cto1rMFbVx1Cv7b1kx1WSlMiEJGEcHdGTV/NPR/MYsuObK49ugPXHtNBVwGlgBKBiETum0UbefSTeUxetpmeLesw9Mr+dGteO9lhSajIRGBm0+PYfr27H1uC8YhIOTJl2Wb+MXYeExZupEntqtx3Zg8uPKiVppAsZYq7IqhIcNdvUYxgiAgRkZ+ZuTKdRz+Zx7h562lYswp3ntqNi/unqRqolCouEVzl7suK29jMfl/C8YhIGTZ/7Tb+8cl8xsxaQ51qlfnzSV247NDWVK+iWujSrMi/TjhERLHiKSMi5d+KzTv4x9j5vPvDSmpWqcSNx3XkysPbUnu/yskOTeJQXBtBbeAvBENDj3b312PW/dvddTUgkuLmrN7Kc+MXM3LaKipWMAb9qh1XH9meejWqJDs02QPFXa+9BCwgmE/gSjM7G7jI3XcBByciOBEpnZZsyODBj+bwyey1VK9SkUsOac2gI9rRrI7uCi6LiksE7d397PD5e2Z2O/C5mZ2egLhEpBRK35HNE58vYOg3S6lSsQI3Hd+Jyw5pQ53qqgIqy4pLBFXNrIK75wG4+wNmthIYD9RMSHQiUirk5Obx6sRl/POzBaTvzOb8vq246YROmje4nCguEXwAHAN8mr/A3V82szXAv6IOTERKh7lrtjJ4+HRmrEznsA4NuH1AN90MVs4U12voT0UsHwN0jCwiESkVsnLy+Pd/F/LUuIXU3q8yT17Um1P2b6Y5Asqh3XbuNbNa7r4tEcGISOkwY0U6g0dMY+6abZxxQHPuOq079dUTqNwqNhGYWQvgdeDIxIQjIsmUmZ3LE58t4Nnxi2lQowrPXdqX47s1SXZYErHi7iPoDrwB/C5x4YhIskxZtok/jZjOovUZnNe3Jbef0o061dQbKBUUd0UwDjjT3ScmKhgRSbz8WcJe+noJzetUY+iV/TiiU6NkhyUJVFwi+A44C/g6QbGISIJ9vWgDt749gx837eCSg1vz55O7ULOqxgVKNcWNBXs6UMfMHklUMCKSGNsys7n93Rlc9NwkzOCNQQdz35k9lARSVHHdR3OBQWb21wTGIyIR+++8ddz2zgxWb83kt4e35eYTOlOtioaHTmW7Tf/ufm8iAhGRaK3blsn9o+YwctoqOjSuydvXHEqftHrJDktKgbiuA82sHtAqtry7fx9VUCJScnLznNcmLeNvY+axKyePG47tyDVHtdckMfI/8dxQdh9wObAI8HCxEww/ISKl2IwV6dz+3gymr0jn8A4NufeM7rRrpKHC5OfiuSI4j2Ak0qyogxGRkrE1M5tHP57HKxOX0aBmVZ64sDen9dTwEFK4eBLBTKAusC7iWESkBHw4fTV3fzCLDdt3cenBrbn5xM6aKUyKFU8ieBD4wcxmArvyF7q75iUQKUU2ZWRx5/sz+XD6anq0qM0Ll/WlZ8u6yQ5LyoB4EsF/gIeBGUBetOGIyN4YO3stf3lnBuk7sxh8YmeuOqIdlSoWd5uQyE/iSQQ73P2JPd2xmb0InAqsc/cehaw/CngfWBIuekddVUX2zNbMbO79YDYjpqygS9NaDL2yn+YKkD0WTyL40sweBEby86qh3XUffRl4Ehha3L7d/dQ4YhCRAiYs3MDg4dNYszWTa4/uwPXHdqRKJV0FyJ6LJxH0Dn/GTli/2+6j7j7ezNrsXVgiUpTM7FweGTOPFycsoV3DGrx9zaH01o1hsg/iubP46AiPf4iZTQNWAbe4+6zCCpnZIGAQQFpaWoThiJRus1alc+MbU1mwbjuXHtKav5zcVcNDyD6L54ayOsBdwBHhoi+Ae909fR+P/T3Q2t23m9kA4D2KmALT3YcAQwD69u3rhZURKc/y8pwhXy7m0U/mUa96FV6+4iCO6tw42WFJORFPheKLwDaCG8vOA7YCL+3rgd19q7tvD59/BFQ2s4b7ul+R8mZNeia/eWESD42ey3Fdm/DxjUcoCUiJiqeNoL27nx3z+h4zm7qvBzazpsBad3cz60eQlDbu635FypMxM9dw6zvTycrJ45FzenLugS11d7CUuHgSwU4zO9zdvwIws8OAnbvbyMyGAUcBDc1sBUH1UmUAd38GOAe4xsxywv1d4O6q9hEhmDXsvlFzGPbtj/RsWYfHL+hN24Y1kh2WlFPxJIKrgaFhWwHAZuCy3W3k7hfuZv2TBN1LRSTGzJXp3PDGDyzekMHVR7bnpuM7qVuoRKrYRGBmFYFL3L2XmdWGoG4/IZGJpJi8POfFCUt4eMxc6teowqsD+3NYBzWbSfSKTQTunmtmh4fPlQBEIrJuWyY3vzWNLxds4IRuTXj47J7Uq1El2WFJioinaugHMxsJDAcy8he6+zuRRSWSQr5dsonfv/Y923dl88BZPbioX5oahCWh4kkE+xH05om9k9gBJQKRfeDu/Ofrpdz/4Rxa1a/Oa7/tT+emtZIdlqSgeBLB8+4+IXZB2HNIRPbSrpxcbntnJm9/v4Ljujbm0fMOoE41zRkgyRFPIvgX0CeOZSISh3VbM7nmte+Zsmwz1x/bkRuP7UiFCqoKkuQpMhGY2SHAoUAjM7spZlVtQIObiOyFiYs3cu3rP5CxK4enLurDKT2bJTskkWKvCKoANcMysRWXWwluBhOROLk7Q8Yv5pGP59G6fnVe/11/OjVRe4CUDkUmAnf/AvjCzF5292UAZlYBqKmupCLx25qZzeDh0/h41loG7N+Uh8/uSS3NISylSDy3Kz5oZrXNrAbBRPazzWxwxHGJlAtz12zljCcn8OmcddxxSleeuqiPkoCUOvEkgm7hFcCZwGigLXBJpFGJlAPv/rCCM5+awPZdOQz73cH89lftdH+AlErx9BqqbGaVCRLBk+6ebWYaHE6kCLtycrlv1Gxenfgj/drW58mLetO41n7JDkukSPEkgmeBpcA0YLyZtSZoMBaRAr5buonb3pnBgnXbueqIdgw+sTOVKmrAOCnd4pmq8gngiZhFy8wsyukrRcqc9B3ZPDRmDsO+XU6LutV48fK+HNOlSbLDEolLPFNV3lTI4nQzm+Lu+zxBjUhZ5u6MnLaK+0bNZvOObAYd0Y4bju1IjarxXGyLlA7xvFv7ho8PwtenAtOBq81suLs/ElVwIqXZso0Z3PHeTL5csIFererynyt70L15nd1vKFLKxJMIWgJ98ucXNrO7gA8JJrOfAigRSErJzM7lha+W8MRnC6hcsQL3ntGdi/u3pqKGiZAyKp5E0BjYFfM6G2ji7jvNbFcR24iUOzuycnht4o88O34xG7bvYsD+TbnrtO40qa0eQVK2xZMIXgMmmdn74evTgNfDG8xmRxaZSCmRm+e8+d1yHv1kHhszsji8Q0OuO6Y3/ds1SHZoIiUinl5D95nZGIIB6ACudvfJ4fOLI4tMpBSYvHQTd42cxaxVW+nXtj5DTurMga3rJzsskRIVb9eG74GV+eXNLM3df4wsKpEkW5OeyUOj5/De1FU0q7Mf/7qwN6f2bKY7g6Vciqf76HXAXcBaIBcwghnKekYbmkji5eY5Q79Zyt8/nkd2nnPdMR245qj2VK+i7qBSfsXz7r4B6OzuG6MORiSZ5q7Zyp/fnsG05Vs4slMj7j2jO60b1Eh2WCKRiycRLAfSow5EJFkys3P51+cLePaLxdSuVpnHLziA03s1VzWQpIx4EsFi4L9m9iEx3Ujd/R+RRSWSIJMWb+TWd2awZEMGZ/dpyR2ndKVejSrJDkskoeJJBD+GjyrhA4I2ApEya/uuHB4ePZdXJi6jVf1qvDKwH7/q2CjZYYkkRTzdR++JfW1m+xHcSyBSJo2fv56/vDODVek7ufKwttxyYic1BktKi+vdb2YVgROBC4Hjga+A4RHGJVLitmZmc/+o2bw1eQXtGtVgxNWH6J4AEXaTCMzsSOAiYADwLXAY0M7ddyQgNpES893STdz4xlRWp+/k6iPbc+NxHdmvcsVkhyVSKhSZCMxsBUHbwNPALe6+zcyWKAlIWZKb5/x73EIe+3Q+repXZ8Q1h9InrV6ywxIpVYqbOmkE0Bw4HzgtHFso7kZiM3vRzNaZ2cwi1puZPWFmC81supn12aPIRXZj3dZMLnlhEo+Onc9pvZrz4fW/UhIQKUSRicDdbySYqP5R4ChgHtDIzM4zs5px7Ptl4KRi1p8MdAwfgwiuPERKxJcL1nPy41/yw49beOScnvzz/AOoqcliRApV7H+GuzswDhgXTmCf32D8b6DhbrYdb2ZtiilyBjA0PMZEM6trZs3cffUexC/yM+7Oc18u5qHRc+nYuBZPXdybDo1rJTsskVIt7q9I7p4NjAJGmVm1Ejh2C4K7lvOtCJf9IhGY2SCCqwbS0tJK4NBSHu3MyuXPb09n5LRVnLJ/M/52bk91CxWJQ5FVQ2Y2pKh17r5zd2VKkrsPcfe+7t63USPd9CO/tHzTDs5++ms+mL6KwSd25smLeisJiMSpuP+UM80ss5j1Bhy9D8deCbSKed0yXCayR75euIE/vP49OXnOi5cfxNGdGyc7JJEypbhEMDiO7b/ch2OPBK41szeA/kC62gdkT+TmOc98sYh/jJ1Pu4Y1GHJpX9o21GihInuqyETg7v/Zlx2b2TCC3kYNw3sS7gIqh/t+BviI4Ea1hcAO4Ip9OZ6klrVbM7nxjal8s3gjp/VqzoO/3l+9gkT2UmT/Oe5+4W7WO/CHqI4v5ddnc9Zyy/BpZGbn8cg5PTn3wJYaMlpkH+grlJQZO7NyeXD0HIZ+s4yuzWrzrwt706FxPLe0iEhxlAikTJi2fAt/fHMqizdkcOVhbfnTSZ01VpBICdndoHOXEU5VGS6aAzzh7kOjDkwEICsnjyfHLeSpcQtpXKsqr/22P4d1KPZeRhHZQ8UNOncZcCNwE/A9QXfRPsDfzMzd/ZXEhCipau6ardz81jRmrdrKWb1bcPfp3alTrXKywxIpd4q7IrgGOMvdl8Ys+9zMzgbeAJQIJBK5ec6z4xfx2Nj51KlWmSGXHMgJ3ZsmOyyRcqu4RFC7QBIAwN2Xmlnt6EKSVLY5I4sb3pzK+PnrOWX/Ztx3Zg/qawSUFYcAABKzSURBVA5hkUgVlwh27uU6kb0yc2U6V786hXVbd/Hgr/fngoNaqVuoSAIUlwi6mtn0QpYb0C6ieCRFvTV5OXe8N5OGNaow/OpD6NWqbrJDEkkZxSaChEUhKSszO5d7PpjFsG+Xc1iHBjxxQW8a1Kya7LBEUkpxQ0wsi31tZg2AI4Af3X1K1IFJ+bd80w7+8Pr3TF+Rzu+Pas/NJ3SmYgVVBYkkWnHdR0cBt7r7TDNrRtCFdDLQ3syGuPs/ExWklD8fz1rDn0ZMJ89dvYJEkqy4qqG27p4/3/AVwFh3v9TMagETACUC2WMbtu/i7pGzGDV9Nd2b1+bpiw8krUH1ZIclktKKSwTZMc+PBZ4DcPdtZpYXaVRS7rg7709dxT0fzCJjVy43H9+Jq45sT5VKRc6NJCIJUlwiWG5m1xFMIdkHGAMQTlOp2zslbqu27OSO92by+dx19E6ryyNn96RjE80jLFJaFJcIBgL3AscB57v7lnD5wcBLUQcmZV9envP6tz/y0Oi55OY5fz21G5cd2kYNwiKlTHG9htYBVxeyfBwwLsqgpOxbsiGDW9+ezqQlmzisQwMePKun2gJESqnieg2NLG5Ddz+95MORsi4nN48XJyzh0U/mU6VSBR4+e3/O66s7hEVKs+Kqhg4BlgPDgEkEdxSLFOm7pZv46/uzmLN6K8d3a8L9Z/agSe39kh2WiOxGcYmgKXA8cCFwEfAhMMzdZyUiMCk71m3N5MHRc3n3h5U0r7MfT1/ch5N6NNVVgEgZUVwbQS5BT6ExZlaVICH818zucfcnExWglF7ZuXm8PGEp//x0Ptm5znXHdOCao9pTvYomvhMpS3Y3Q1lV4BSCJNAGeAJ4N/qwpLT7asEG7v5gFgvXbefYLo2589RutGlYI9lhicheKK6xeCjQA/gIuCfmLmNJYUs2ZPDQ6Dl8PGstrRtU54XL+nJs1ybJDktE9kFxVwS/ATII5iy+Pqa+1wB3d01Ok0LSd2bzxGcLGPrNUqpUrMDgEzsz8PC2mkBepBworo1A9/4LeXnOiO9X8PDouWzakcX5fVtx0wmdaFxLvYFEygu16kmRZq5M5873Z/LDj1s4sHU9/nN6P3q0qJPssESkhCkRyC+k78jm0bHzeHXiMurXqMKj5/bi131aqDuoSDmlRCA/M2bmau54byabMrK49JA2/PH4TtSppjEGRcozJQIBgsbgu0fO4t0fVtK9eW1evkLVQCKpQolAGD9/PX8aMZ3123dx/bEdue6YDlSuqL4CIqlCiSCF7cjK4cGP5vLKxGW0b1SDZy85lF6t6iY7LBFJsEi/9pnZSWY2z8wWmtmthay/3MzWm9nU8PHbKOORn0xZtokBj3/Jq5OWMfDwtnx4/a+UBERSVGRXBGZWEXiKYOC6FcB3ZjbS3WcXKPqmu18bVRzyc7tycnls7AKGjF9E87rVGPa7gzm4XYNkhyUiSRRl1VA/YKG7LwYwszeAM4CCiUASZNaqdG5+axpz12zjgoNaccep3ahZVbWDIqkuyk+BFgTzGeRbAfQvpNzZZnYEMB/4o7svL6SM7IO8POeFr5bwyMdzqVu9Ci9e3pdjumh8IBEJJPvr4AcEcxzsMrOrgP8AxxQsZGaDgEEAaWlpiY2wjFu3LZOb35rGlws2cEK3Jjx8dk/q1aiS7LBEpBSJMhGsBFrFvG4ZLvsfd98Y8/J54JHCduTuQ4AhAH379vWSDbP8+mzOWv40YjoZWTk8cFYPLuqXpruDReQXokwE3wEdzawtQQK4gGCms/8xs2buvjp8eTowJ8J4UsbWzGzu+2A2w6esoEvTWrxx4cF0bFIr2WGJSCkVWSJw9xwzuxb4GKgIvOjus8zsXmCyu48kGN76dCAH2ARcHlU8qWLCwg0MHj6NNVsz+cPR7bn+2I5UraShokWkaOZetmpa+vbt65MnT052GKXOjqwcHho9l6HfLKNdoxo8em4veqfVS3ZYIlJKmNkUd+9b2LpkNxZLCZi8dBM3D5/Gj5t2MPDwtgw+sbMmjBGRuCkRlGGZ2bk8NnY+Q75cTAvdHCYie0mJoIz6dPZa7h01mx837eCi/mncNqCrbg4Tkb2iT44yZsmGDO79YBbj5q2nQ+OavPbb/hzWoWGywxKRMkyJoIzYmZXLk+MW8Nz4JVSpVIE7TunKZYe20XDRIrLPlAjKgAkLN3DrO9NZvmknv+7TgltP7qLJ40WkxCgRlGLpO7J54KPZvDV5BW0b1uCNQWoMFpGSp0RQSo2ZuZo735/FpowsrjmqPTcc21FdQkUkEkoEpcymjCz++v5MRk1fTffmtXnp8oM0d7CIREqJoBQZM3MNd7w3g/Sd2dxyQieuOrK9GoNFJHJKBKXA5ows7v5gFu9PXUX35rV5ZWB/ujarneywRCRFKBEk2Rfz13PL8Glszsjij8d14vdH6ypARBJLiSBJduXk8rcx83j+qyV0alKTl684iO7N1RYgIomnRJAEi9Zv5/phPzBr1VYuPaQ1tw3oqh5BIpI0SgQJ5O68NXk5d4+czX6VK/DcpX05vpvmDhaR5FIiSJDNGVnc/t4MPpqxhkPbN+Af5x1A0zq6O1hEkk+JIAHG5zcI78jiTyd15qoj2lOxguYOFpHSQYkgQpnZuTw0ei4vf72UDo1r8qJuDhORUkiJICIzV6Zz45tTWbhuO5cf2oZbT+6iBmERKZWUCEpYbp7zzBeLeGzsfBrUrMIrA/vxq46Nkh2WiEiRlAhK0PJNO/jjm1OZvGwzp/RsxgNn9qBu9SrJDktEpFhKBCXA3Rk+ZQX3jJxFBTMeO78XZx7QAjM1CItI6adEsI82ZWTxl3em8/GstfRvW59Hz+tFy3rVkx2WiEjclAj2krvzwfTV3DNyFtsyc7htQBcGHt5O3UJFpMxRItgLq7bs5M73ZvLZ3HX0almHh8/pSZemGi1URMomJYI9kJfnvDZpGQ+PmUdunnPHKV254rC2ugoQkTJNiSBOC9dt489vz2DKss38qmND/u+s/WlVX20BIlL2KRHsxvZdOTz934U8N34J1apU5O/n9uLsPuoRJCLlhxJBEfLynBHfr+BvH89j/bZdnNW7BbcN6EqjWlWTHZqISIlSIiggN8/5aMZqnvhsAQvWbad3Wl2GXHIgvdPqJTs0EZFIKBGEcvOcUdNX8a/PF7Jw3XY6Nq7Jvy7szak9m6kaSETKtUgTgZmdBDwOVASed/eHCqyvCgwFDgQ2Aue7+9IoYyoofWc2wycvZ+g3y/hx0w46NanJkxf1ZkCPZlRQbyARSQGRJQIzqwg8BRwPrAC+M7OR7j47pthAYLO7dzCzC4CHgfOjiinfuq2ZfLt0E6NnruHzOevYmZ3LQW3q8ZeTu3Bi96ZKACKSUqK8IugHLHT3xQBm9gZwBhCbCM4A7g6fjwCeNDNzdy/pYMbNW8d9o2azKSOLLTuyAWhQowpn9WnBRf3SNE+AiKSsKBNBC2B5zOsVQP+iyrh7jpmlAw2ADbGFzGwQMAggLS1tr4KpU60yXZvWpm71yrRrVJMDWtWlV8s6VKpYYa/2JyJSXpSJxmJ3HwIMAejbt+9eXS30SatHn4vV80dEpKAovw6vBFrFvG4ZLiu0jJlVAuoQNBqLiEiCRJkIvgM6mllbM6sCXACMLFBmJHBZ+Pwc4PMo2gdERKRokVUNhXX+1wIfE3QffdHdZ5nZvcBkdx8JvAC8YmYLgU0EyUJERBIo0jYCd/8I+KjAsr/GPM8Ezo0yBhERKZ66zIiIpDglAhGRFKdEICKS4pQIRERSnJW13ppmth5YtpebN6TAXculRGmNC0pvbIprzyiuPVMe42rt7o0KW1HmEsG+MLPJ7t432XEUVFrjgtIbm+LaM4prz6RaXKoaEhFJcUoEIiIpLtUSwZBkB1CE0hoXlN7YFNeeUVx7JqXiSqk2AhER+aVUuyIQEZEClAhERFJcuUkEZnaSmc0zs4Vmdmsh66ua2Zvh+klm1iZm3V/C5fPM7MQEx3WTmc02s+lm9pmZtY5Zl2tmU8NHwSG8o47rcjNbH3P838asu8zMFoSPywpuG3Fcj8XENN/MtsSsi/J8vWhm68xsZhHrzcyeCOOebmZ9YtZFeb52F9fFYTwzzOxrM+sVs25puHyqmU1OcFxHmVl6zN/rrzHrin0PRBzX4JiYZobvqfrhukjOl5m1MrNx4efALDO7oZAy0b6/3L3MPwiGuV4EtAOqANOAbgXK/B54Jnx+AfBm+LxbWL4q0DbcT8UExnU0UD18fk1+XOHr7Uk8X5cDTxaybX1gcfizXvi8XqLiKlD+OoLhzSM9X+G+jwD6ADOLWD8AGA0YcDAwKerzFWdch+YfDzg5P67w9VKgYZLO11HAqH19D5R0XAXKnkYwR0qk5wtoBvQJn9cC5hfy/xjp+6u8XBH0Axa6+2J3zwLeAM4oUOYM4D/h8xHAsWZm4fI33H2Xuy8BFob7S0hc7j7O3XeELycSzOQWtXjOV1FOBMa6+yZ33wyMBU5KUlwXAsNK6NjFcvfxBHNmFOUMYKgHJgJ1zawZ0Z6v3cbl7l+Hx4XEvb/iOV9F2Zf3ZknHlZD3l7uvdvfvw+fbgDkE87nHivT9VV4SQQtgeczrFfzyRP6vjLvnAOlAgzi3jTKuWAMJsn6+/cxssplNNLMzSyimPYnr7PAydISZ5U87WirOV1iF1hb4PGZxVOcrHkXFHuX52lMF318OfGJmU8xsUBLiOcTMppnZaDPrHi4rFefLzKoTfKC+HbM48vNlQZV1b2BSgVWRvr/KxOT1qcDMfgP0BY6MWdza3VeaWTvgczOb4e6LEhTSB8Awd99lZlcRXE0dk6Bjx+MCYIS758YsS+b5KtXM7GiCRHB4zOLDw/PVGBhrZnPDb8yJ8D3B32u7mQ0A3gM6JujY8TgNmODusVcPkZ4vM6tJkHhudPetJbXfeJSXK4KVQKuY1y3DZYWWMbNKQB1gY5zbRhkXZnYccDtwurvvyl/u7ivDn4uB/xJ8U0hIXO6+MSaW54ED4902yrhiXECBy/YIz1c8ioo9yvMVFzPrSfA3PMPdN+Yvjzlf64B3Kbkq0d1y963uvj18/hFQ2cwaUgrOV6i491eJny8zq0yQBF5z93cKKRLt+6ukGz6S8SC4sllMUFWQ38DUvUCZP/DzxuK3wufd+Xlj8WJKrrE4nrh6EzSOdSywvB5QNXzeEFhACTWaxRlXs5jnZwET/afGqSVhfPXC5/UTFVdYrgtBw50l4nzFHKMNRTd+nsLPG/O+jfp8xRlXGkG716EFltcAasU8/xo4KYFxNc3/+xF8oP4Ynru43gNRxRWur0PQjlAjEecr/L2HAv8spkyk768SO7nJfhC0qs8n+FC9PVx2L8G3bID9gOHhP8W3QLuYbW8Pt5sHnJzguD4F1gJTw8fIcPmhwIzwH2EGMDDBcT0IzAqPPw7oErPtleF5XAhckci4wtd3Aw8V2C7q8zUMWA1kE9TDDgSuBq4O1xvwVBj3DKBvgs7X7uJ6Htgc8/6aHC5vF56raeHf+fYEx3VtzPtrIjGJqrD3QKLiCstcTtCBJHa7yM4XQXWdA9Nj/k4DEvn+0hATIiIprry0EYiIyF5SIhARSXFKBCIiKU6JQEQkxSkRiIiUYrsbKK+Q8ufFDGD3elzbqNeQiEjpZWZHANsJxhrqsZuyHYG3gGPcfbOZNfbgBrhi6YpApBhmVtfMfl/EujZmttPMpsYsu97M5pjZa0Vs0z4cxnh7VDFL+eKFDJQXvo/GhOMefWlmXcJVvwOe8nCgwXiSACgRiOxOXYIhzIuyyN0PiHn9e+B4d7+4sMLuXrC8yN4YAlzn7gcCtwD/Dpd3AjqZ2YRw8MW4RiLVoHMixXsIaB9+6x/r7oOLKmhmzxDcgTrazF4kGFjt8XC1A0d4MMywyF4LB6c7FBgejKQPBEPkQPCZ3pFgvoeWwHgz29/dtxTcTywlApHi3Qr0iOdbvLtfHX4DO9rdN5jZB8Af3H1C+M+bGXWwkhIqAFuKeE+uIJi0JhtYYmbzCRLDd7vboYhEYwLwDzO7HqjrwTwYIvvEgyGql5jZufC/aSzzpyB9j+BqgHA0104Eg/gVS4lAJCLu/hDwW6AaMCGmQU8kbmY2DPgG6GxmK8xsIHAxMNDM8gfBy5/F7WNgo5nNJhgscrDHDD1eFFUNiRRvG8E8snvMzNq7+wxghpkdRDB89tySDE7KP3e/sIhVv2gI9uB+gJvCR9x0RSBSjPDb1AQzm2lmf9vDzW8Mt5tOMOzx6N1tIJIMuqFMZC+F88uO2t1NPkVsu93da5Z4UCJ7QVcEInsvF6gTe0PZ7uTfUEYwGZFIqaArAhGRFKcrAhGRFKdEICKS4pQIRERSnBKBiEiK+39fx2QcDvk1OAAAAABJRU5ErkJggg==\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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iG1gas5wLHGBmpwPHAk0JWiElMrPLgcsB2rZtm8IwRSSdFBU5b0zP42/vfEPeuq0M7NqcYcfvrfsgkiidEkWJ3H00MDqB7Z4AngDo37+/pzouEYneR9+s5K5xc/n6uw30ym7MPWfuyyGds6IOK+OkU6LIA9rELLcOy0REfmJW3nruGjeXT3JW0Xr3+jx4bh9O3rcVNar5UBupkk6JYhLQxcw6ECSIc4Hzow1JRNLJ0jVbuO/debw+bRlNG9Tmzyf14MID21K3Vs2oQ8toUV0eOwIYBGSZWS5ws7s/ZWZDgXcILo992t1nRxGfiKSXtZu38+gHOTz/2WLM4IpBnRgysBNN6teOOrRqIaqrns4rpXwsMLaSwxGRNJVfUMizExfx6Ac5bN62gzP3a83vju7KXk10JVNlSqdTTyIiQHAl0+ipedz37jy+W5/PEXu34A/H7U23PTVgXxSUKEQkrUxbuo6b35jF9Nz19G7dhPvP7sNBnZpFHVa1pkQhImlh1aZt3Dt+HqMmL6X5bnV54JzeDO6drSuZ0oAShYhEakdhES98vpj73/uGrdsLufxnHbnyiM7sVk8d1elCiUJEIvP5gtXcMmY2c5dv5LAuWdx8ck/NC5GGlChEpNItX5/PHWPn8Ob0ZWQ3rc/jF+7HsT1bYqbTTOlIiUJEKk1RkfPiF4u5e/w8CgqLuPrILgwZ2In6dXTDXDpTohCRSvHN9xu5cfRMpixey6Gds7jjtF6aPKiKUKIQkZTatqOQR/+bw2MfzqdR3Vrcd1ZvTu+XrdNMVYgShYikzJcL1zBs9AwWrNzMqX1a8eeTetCskaaVqWqUKEQk6TbmF3DXuLm8+MUSWu9en+cuHcDArs2jDkvKSYlCRJLq429XMuzVmXy3fiu/PLQD1x7TlQZ19FVTlendE5Gk2JhfwF/HzmHEl0vp1Lwhr1xxMP3a7h51WJIEShQiUmEffrOSG1+dwfIN+fx6YEd+d1RX6tXWJa+ZQolCRMptQ34Bd7w1h1GTl9K5RSNeveJg+qoVkXGUKESkXCbMW8GNo2fy/YZ8rhjUiauP7KJWRIZSohCRMtm8bQe3vz2HEV8uoUuLRjz+m0Po3aZp1GFJCilRiEjCJi1aw3UvTWfp2i38emBHrj26q+arrgaUKERkl/ILCnngvW944uMFtNm9AS/9+iD2b79H1GFJJVGiEJG4Zi9bz7WjpjPv+42cf0BbbjqhOw3r6qujOin13TazGQk8f6W7H5nEeEQkTewoLOLxD+fz9/e/ZY+GdXjmkv05vFuLqMOSCMT7WVATOCHOegPGJDccEUkHC1Zu4tqXpjNt6TpO2ncvbhvci90b1ok6LIlIvETxa3dfHO/JZvabJMcjIhEqKnJe+Hwxd46bQ91aNXnovL6c0rtV1GFJxEpNFO7+ya6enMg2IlI1LFu3lRtemcEnOasY2LU595y5Ly0b14s6LEkD8fooGgM3Aq2Bce4+PGbdP9xdrQmRDPHGtDz+9PosCoucO07rxfkD2mq+CPlBvFNPzwDfAq8Cl5rZGcD57r4NOLAyghOR1NqQX8D/vT6L16cto1/bpjxwTh/NOif/I16i6OTuZ4SPXzezm4D/mtkplRCXiKTYpEVruGbkNJZvyOeao7ow9PDO1KpZI+qwJA3FSxR1zayGuxcBuPsdZpYHfAQ0qpToRCTpCgqLePD9b/nHhBxahzfP7ddOA/lJ6eIlijeBI4D3dxa4+7Nmthx4ONWB7WRm3YGrgSzgP+7+WGUdWyTTLFy1mWtGTmV67nrO2q81N5/Sk0a6eU52odR2prvf4O7vl1A+3t27VOSgZva0ma0ws1nFyo8zs3lmlmNmw8LjzXH3IcDZwCEVOa5IdeXujPxyCSc+9DGLVm/hHxf0496zeitJSEJ2eULSzHZLwXGfBY4rdpyawKPA8UAP4Dwz6xGuOwV4GxibglhEMtrazdsZ8u8pDBs9kz5tmjL+msM4YZ+9og5LqpC4icLMsoG3kn1Qd/8IWFOseACQ4+4L3H07MBIYHG4/xt2PBy6IE+vlZjbZzCavXLky2SGLVEkff7uSY//+ER/MXclNJ3Tn35cdwF5N6kcdllQx8e6j6EnwZf2rSoolG1gas5wLHGBmg4DTgbrEaVG4+xPAEwD9+/f31IUpkv627Sjk3vHzePKThXRu0YhnLtmfnq2aRB2WVFHxTlB+AJzq7p9XVjAlcfcJwIQoYxCpSuav3MRVI6Yye9kGLjqoHX88obtmnpMKiZcoJgGnARMrKZY8oE3McuuwTEQS4O6MmrSUW9/8mnq1a/DkRf05qkfLqMOSDBCvj+IUoImZ3VNJsUwCuphZBzOrA5yLRqcVScj6LQX8dvhXDBs9k37tmjL+mp8pSUjSxLs8ttDdLwc2JfugZjYC+AzoZma5ZnaZu+8AhgLvAHOAl9x9drKPLZJpvly4huMf/Ih3Z3/PH47bmxcuPUCD+UlS7fIianf/S7IP6u7nlVI+Fl0CK5KQHYVFPPTfHB7577e02aMBr15xML3bNI06LMlACd1tY2a7E/Qf/LC9u3+VqqBEJL7ctVu4ZuQ0Ji9ey+n9svnL4F66eU5SZpefLDO7DbgYmA/svOzUCYb3EJFKNnbmdwx7dQZFDg+e24fBfbKjDkkyXCI/Qc4mGEl2e6qDEZHSbd1eyF/e+poRXy6hd5umPHxuX9o2axB1WFINJJIoZgFNgRUpjkVESjF3+QaGDp9KzopNDBnYieuO6UptDQkulSSRRHEnMDUcwG/bzkJ317wUIinm7vz788Xc9vYcGterzQuXDeCwLs2jDkuqmUQSxXPA3cBMoCi14YjITuu2bOeGV2bw7tffM7Brc+47uzdZjepGHZZUQ4kkii3u/lDKIxGRH3yxYDXXjJrGqk3b+NOJ3bn0kA7UqKE5rCUaiSSKj83sToK7pGNPPenyWJEki703ou0eDRh9xSHs01qD+Um0EkkUfcN/D4wp0+WxIkmWt24r14ycyqRFujdC0ksid2YfXhmBiFRn42d9xx9encmOwiIeOKc3p/VtHXVIIj9I5Ia7JsDNwM/Cog+Bv7j7+lQGJlId5BcUcvvbX/Pvz5ewb+smPHRuX9pnNYw6LJGfSKRd+zTBvRRnh8s/B54hmExIRMopZ8VGhg6fytzlG/nVYR24/ti9qVNL90ZI+kkkUXRy9zNilm81s2mpCkgk07k7L01eys1jZtOwTi2euWR/Du/WIuqwREqVSKLYamaHuvsnAGZ2CLA1tWGJZKYN+QXc9Nos3py+jIM7NePv5/ShhYYElzSXSKIYAjwf9lUArAV+kbqQRDLT9KXruHLEVPLWbeX6Y7sxZGAnaureCKkC4iYKM6sJ/Nzde5tZYwB331ApkYlkiKIi58lPFnDP+Hm0bFyPUZcfSP/2e0QdlkjC4iYKdy80s0PDx0oQImW0atM2rntpOh9+s5Jje7bknjN606RB7ajDEimTRE49TTWzMcDLwOadhe4+OmVRiWSAT3NWcc2oaazfWsBtp/biwgPaYqZTTVL1JJIo6gGr+emd2A4oUYiUYEdhEQ+8/w3/mDCfjlkNef7SAXTfq3HUYYmUWyKJ4kl3/zS2ILzySUSKyV27hatHTmPK4rWc3b81t5zSkwZ1NAyHVG2JfIIfBvolUCZSrY2f9R03vKIpSiXzlJoozOwg4GCguZldG7OqMVAz1YGJVBXFh+F4+Ly+tGumYTgkc8RrUdQBGoXb7BZTvgE4M5VBiVQVGoZDqoNSE4W7fwh8aGbPuvtiADOrATTSpbJS3bk7L0/O5eYxs2lQp6aG4ZCMlshPnzvNrLGZNSQYHPBrM7s+xXGJpK2N+QVcPXIaN7w6g75tmzLu6sOUJCSjJZIoeoQtiFOBcUAHghFkRaqd6UvXceJDn/D2zO+4/thuvHDZARqrSTJeIlc91Taz2gSJ4hF3LzAzT3FcImmlqMh56pOF3D1+robhkGonkUTxT2ARMB34yMzaEXRoVwoz6wjcBDRxd3WiS6VbtWkbv395OhPmaRgOqZ52eerJ3R9y92x3P8EDi4EKTY9qZk+b2Qozm1Ws/Dgzm2dmOWY2LDz+Ane/rCLHEymviTmrOOHBj5k4fzW3ndqLxy/cT0lCqp1EpkK9toTi9WY2xd3LO4HRs8AjwPMxx6kJPAocDeQCk8xsjLt/Xc5jiJTbjsIi/v7+tzw6IYeOWQ15TsNwSDWWyKmn/uHfm+HyScAMYIiZvezu95T1oO7+kZm1L1Y8AMhx9wUAZjYSGAwklCjM7HLgcoC2bduWNSSRH+St28rVI6YyWcNwiACJXfXUGujn7te5+3XAfkAL4GfAxUmMJRtYGrOcC2SbWTMzexzoa2Y3lvZkd3/C3fu7e//mzZsnMSypTsbPWs7xf/+Iucs38uC5fbjnzN5KElLtJfI/oAWwLWa5AGjp7lvNbFspz0kad19NMMueSMrkFxRyx9tzeOHzxRqGQ6SYRBLFi8AXZvZGuHwyMDy8AS+Z/Qd5QJuY5dZhmUhKaRgOkfh2mSjc/TYzG08wQCDAEHefHD6+IImxTAK6mFkHggRxLnB+Evcv8hPuzstTcrn5jdnU1zAcIqVK9OTrVwRf3rUAzKytuy8p70HNbAQwCMgys1zgZnd/ysyGAu8QjE77tLvPLu8xROLZmF/ATa/NYsz0ZRzcqRkPnNOHlrrDWqREiVweeyVwM/A9UAgYwQx3+5b3oO5+XinlY4Gx5d2vSCJm5K7jyhFTyV27ld8f05UrBnWmZg1NUSpSmkRaFFcD3cJOZZEqq6jIefrTYBiO5o3qahgOkQQlkiiWAutTHYhIKq3etI3rYobhuPuMfWnaoE7UYYlUCYkkigXABDN7m5jLZN39/pRFJZJEE3NWcc2oaazbWsBtg3ty4YHtMNOpJpFEJZIoloR/dcI/CPooRNLajsIiHvzPtzzygYbhEKmIRC6PvTV22czqEdxLIZK2NAyHSPIk9D8nHLDvWOA8gkH7PgFeTmFcIuU2ftZybnhlOkUOD57bh8F9sqMOSaRKi5sozGwgwU1vJwBfAocAHd19SyXEJlImGoZDJDVKTRThjXBLgMeA37v7RjNbqCQh6UjDcIikTrwWxSsE05+eAxSGYz2pE1vSiobhEEm9Un9yufs1QAfgPoLhNuYBzc3sbDNrVDnhiZRuY34BV4+cxg2vzKBv26aMu/owJQmRFIjbR+HuDnwAfGBmtfmxQ/sfQFbqwxMpmYbhEKk8CV8v6O4FwFvAW2ZWP3UhiZROw3CIVL5STz2Z2ROlrXP3rbvaRiTZVm/axqXPTeL2t+dwxN4tGHv1YUoSIpUgXoviVDPLj7PegMOTHI9IiTQMh0h04iWK6xN4/sfJCkSkJLHDcHTIasizlwygRysNwyFSmUpNFO7+XGUGIlKchuEQSQ/6Xydpafys5fzh1RkUFrmG4RCJmBKFpJX8gkL+OnYOz3+2mH2yg2E42mdpGA6RKClRSNrIWbGJocO/0jAcImkm7v9CM/uFmX1lZpvDv8lmdlFlBSfVg7vz8uSlnPzwJ6zYuI1nLt6fm07soSQhkibiDQr4C+Aa4FrgK4LLYfsB95qZu/sLlROiZLJN23bwp9dm8vq0ZRzcqRkPnNOHlo3rRR2WiMSId+rpCuA0d18UU/ZfMzsDGAkoUUiFzMpbz5UjprJ49WauO7orvzlcw3CIpKN4iaJxsSQBgLsvMjNdyC7l5u48N3ERfx07lz0a1mHk5QcxoIPusBZJV/ESxdZyrhMp1bot27n+lRm89/X3HLl3C/52Vm92b1hn108UkcjESxTdzWxGCeUGdExRPJLBpixew5XDp7Jy0zb+fFIPLj2kvYbhEKkC4iaKSotCMlpRkfPYh/O5/71vyG5an1evOJh9WzeNOiwRSVC8ITwWxy6bWTPgZ8ASd5+S6sAkM6zcuI1rX5rGx9+u4qR99+Kvp+9D43q1ow5LRMog3uWxbwHD3H2Wme1FcInsZKCTmT3h7n+vjADNrCNwE9DE3c+sjGNKcnz87Up+N2o6m7YVcNfp+3DO/m10qkmkCop3R1MHd58VPr4EeM/dTwYOAC5NZOdm9rSZrTCzWcXKjzOzeWaWY2bD4u3D3Re4+2WJHOwIDCwAAA1wSURBVE/Sw47CIu59Zy4XPf0luzeozRu/PZRzB7RVkhCpouL1URTEPD4S+BeAu280s6IE9/8s8Ajw/M4CM6sJPAocDeQCk8xsDFATuLPY8y919xUJHkvSQOyIr+f0b8Mtp/Skfp2aUYclIhUQL1EsNbMrCb7M+wHjAcJpUBM6yezuH5lZ+2LFA4Acd18Q7m8kMNjd7wROKlP0klbenb2c61/RiK8imSbeqafLgJ7AxcA57r4uLD8QeKYCx8wGlsYs54ZlJTKzZmb2ONDXzG6Ms93l4VhUk1euXFmB8KSstu0o5JYxs7n8hSm02aM+b115qJKESAaJd9XTCmBICeUfAB+kMqhix1tdUhwlbPcE8ARA//79PdVxSWDhqs1cOeIrZuVt4JJD2jPs+L2pW0unmkQySbyrnsbEe6K7n1LOY+YBbWKWW4dlUsW8MS2PP46eSe1aNfjXRf05ukfLqEMSkRSI10dxEMEpohHAFwR3ZCfDJKCLmXUgSBDnAucnad9SCbZs38EtY2bz0uRc9m+/Ow+e25dWTetHHZaIpEi8RLEnwZVJ5xF8kb8NjHD32Ynu3MxGAIOALDPLBW5296fMbCjwDsGVTk+XZZ8SrbnLNzB0+FTmr9zElUd05uoju1CrpuaNEMlk8fooCgmudBpvZnUJEsYEM7vV3R9JZOfufl4p5WOBseWIVyLi7oz4cim3vjmb3erV5oVLD+DQLllRhyUilSDuVKhhgjiRIEm0Bx4CXkt9WJJONuQXcOPombw94zsO65LF/Wf3ofludaMOS0QqSbzO7OeBXgS//G+NuUtbqpHpS9dx5Yip5K3byg3HdWPIzzpRQ5MLiVQr8VoUFwKbgauBq2KGXzDA3V2TF2Uwd+epTxZy9/i5tNitHi/9+kD2a6fJhUSqo3h9FOqhrKbWbN7O9S9P5z9zV3BMj5bcc+a+NG2gyYVEqqu4fRRS/Xy5cA1XjZjKms3bueXkHvziYE0uJFLdKVEIAIVFzj8+yOGB97+h7R4NGP2bg+mV3STqsEQkDShRCCs25HPNqGlMnL+awX1accdp+9Corj4aIhLQt0E19+E3K7nupWls2raDe87cl7P2a61TTSLyE0oU1VRBYRH3v/cNj02YT7eWuzHiVwfSpeVuUYclImlIiaIayl27hatGTOWrJes4b0Ab/u8kTS4kIqVToqhm3pm9nOtfnk6Rw8Pn9eXk3q2iDklE0pwSRTWRX1DInWPn8Nxni9knuwmPnN+Xds0aRh2WiFQBShTVwMJVmxk6/CtmL9vApYd04A/Hd9PkQiKSMCWKDPf61Dxuei2YXOjJi/pzlCYXEpEyUqLIUFu27+DmN2bz8hRNLiQiFaNEkYHmLd/Ib4d/pcmFRCQplCgyiLszctJSbhmjyYVEJHmUKDLEhvwC/jh6Jm9pciERSTIligwwI3cdQ4drciERSQ0liiosdnKh5o3qMuryA+nfXpMLiUhyKVFUUWs3b+f34eRCR/doyb2aXEhEUkSJogr6cuEarh45ldWbNLmQiKSeEkUVosmFRCQKShRVxIoN+fzupWl8mqPJhUSkcumbpgr46JuVXLtzcqEz9uWs/ppcSEQqjxJFGoudXKhry0YM/9WBdNXkQiJSyZQo0lTu2i1cPXIaUxav1eRCIhIpJYo0FDu50EPn9eUUTS4kIhFK+0RhZt2Bq4Es4D/u/ljEIaXMth2F3Dl2Ls9OXMQ+2U14+Ly+tM/S5EIiEq2UDilqZk+b2Qozm1Ws/Dgzm2dmOWY2LN4+3H2Ouw8BzgYOSWW8UVq4ajNnPDaRZycu4tJDOvDKFQcpSYhIWkh1i+JZ4BHg+Z0FZlYTeBQ4GsgFJpnZGKAmcGex51/q7ivM7BTgCuCFFMcbiTem5fHH0ZpcSETSU0oThbt/ZGbtixUPAHLcfQGAmY0EBrv7ncBJpexnDDDGzN4Ghpe0jZldDlwO0LZt26TEn2pbtu/gljGzeWmyJhcSkfQVRR9FNrA0ZjkXOKC0jc1sEHA6UBcYW9p27v4E8ARA//79PRmBptK85RsZOvwrcjS5kIikubTvzHb3CcCEiMNIGk0uJCJVTRSJIg9oE7PcOizLeBvzC7hRkwuJSBUTRaKYBHQxsw4ECeJc4PwI4qhUmlxIRKqqlCYKMxsBDAKyzCwXuNndnzKzocA7BFc6Pe3us1MZR5Tcnac/XcRd4+ZociERqZJSfdXTeaWUjyVOx3SmWLt5O9e/Mp3356zgqO4t+dtZmlxIRKqetO/MrqomLVrDVSOCyYVuPrkHF2tyIRGpopQokqywyHlsQg4PvP8tbXavr8mFRKTKU6JIohUb8/ndqGByoVN6t+KO03qxW73aUYclIlIhShRJEju50N1n7MPZ/dvoVJOIZAQligravqOIe9+Zy78+XqjJhUQkIylRVMCClZu4auRUZuVt4OcHtuOmE7tTr7YmFxKRzKJEUQ7uzstTcrllzGzq1KrBEz/fj2N67hl1WCIiKaFEUUbrtxZw02vBMBwHdWzGA+f0Yc8m9aIOS0QkZZQoymDK4jVcNWIayzfkc/2x3RgysBM1NQyHiGQ4JYoEFBY5j36Qw4P/+ZZWTevx8pCD6Nd296jDEhGpFEoUu7Bs3VZ+N2oaXyxcw+A+rbjt1F401r0RIlKNKFHEMX7Wcv7w6gx2FBZx31m9Ob1ftu6NEJFqR4miBFu3F3Lb218z/Isl7Nu6CQ+d25f2WQ2jDktEJBJKFMXM+W4DV42YyrcrNvHrgR257uhu1KmlKUpFpPpSogi5O89NXMRfx82lSf3avHDZAA7r0jzqsEREIqdEETIzZi/bwKGds7j3zH1p1khTlIqIgBLFT9x+Wi/q1KyhDmsRkRhKFDHq1tI4TSIixamXVkRE4lKiEBGRuJQoREQkLiUKERGJS4lCRETiUqIQEZG4lChERCQuc/eoY0g6M1sJLC7n05sA68u5TUnlxcviLe98vPPfLGBVQlGXLc5EtilrXXb1uCJ1qUg9SltXFeuS7M8XVM26JPs9iRdnIttkyucLoJ27/+/YRe6uv5g/4InyblNSefGyeMs7H8f8O7mq1GVXjytSl4rUI5PqkuzPV1WtS7Lfk8quS7p+vuL96dTT/3qzAtuUVF68LN7ym6VsU16VWZdEHpdXRepR2rqqWJfq/PmKXU72e5LofqrD/5USZeSpp0xhZpPdvX/UcSSD6pKeMqUumVIPSM+6qEWR3p6IOoAkUl3SU6bUJVPqAWlYF7UoREQkLrUoREQkLiUKERGJS4lCRETiUqKoQsyso5k9ZWavRB1LRZnZqWb2LzMbZWbHRB1PRZhZdzN73MxeMbMroo6nIsysoZlNNrOToo6lIsxskJl9HL4vg6KOpyLMrIaZ3WFmD5vZL6KIQYkiYmb2tJmtMLNZxcqPM7N5ZpZjZsMA3H2Bu18WTaS7Vsa6vO7uvwKGAOdEEW88ZazLHHcfApwNHBJFvKUpSz1CfwBeqtwoE1PGujiwCagH5FZ2rLtSxroMBloDBURVl4rczai/iv8BPwP6AbNiymoC84GOQB1gOtAjZv0rUcedxLrcB/SLOvaK1gU4BRgHnB917OWtB3A0cC5wMXBS1LFXsC41wvUtgRejjr2CdRkG/DrcJpL/+2pRRMzdPwLWFCseAOR40ILYDowk+FWR1spSFwvcDYxz968qO9ZdKev74u5j3P144ILKjTS+MtZjEHAgcD7wKzNLq++HstTF3YvC9WuBupUYZkLK+L7kEtQDoLDyovxRrSgOKruUDSyNWc4FDjCzZsAdQF8zu9Hd74wkurIpsS7AlcBRQBMz6+zuj0cRXBmV9r4MAk4n+EIaG0FcZVViPdx9KICZXQysivmyTWelvSenA8cCTYFHogisHEr7v/Ig8LCZHQZ8FEVgShRViLuvJjinX+W5+0PAQ1HHkQzuPgGYEHEYSePuz0YdQ0W5+2hgdNRxJIO7bwEi7ZtMq6al/CAPaBOz3Dosq4pUl/STKfUA1aVSKFGkp0lAFzPrYGZ1CDoYx0QcU3mpLuknU+oBqkulUKKImJmNAD4DuplZrpld5u47gKHAO8Ac4CV3nx1lnIlQXdJPptQDVJcoaVBAERGJSy0KERGJS4lCRETiUqIQEZG4lChERCQuJQoREYlLiUJEROJSohARkbiUKEQqwMyamtlvSlnX3sy2mtm0mLKrzGyOmb1YynM6mdk0M9uUqphFyko33IlUgJm1B95y916JrDOzucBR7h53Ahoz2+TujZIarEg5qUUhUjF3ATtbAffG29DMHieYlGacmf3OzAaGz5tmZlPNbLdKiVikjNSiEKmAcrQoFgH93X2Vmb0J3OXun5pZIyA/HO9HLQpJK2pRiETnU+B+M7sKaLozSYikGyUKkYi4+13AL4H6wKdmtnfEIYmUSDPciVTMRqBcfQtm1sndZwIzzWx/YG9gbjKDE0kGtShEKiCcnvZTM5u1q87sElwTPm8GUACMS36EIhWnzmyRFInX0Z3Ac9WZLWlDLQqR1CkEmsTecLcrO2+4A75PXVgiZaMWhYiIxKUWhYiIxKVEISIicSlRiIhIXEoUIiISlxKFiIjE9f9IO5KGBOSZCAAAAABJRU5ErkJggg==\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "stream",
          "text": [
            "[0.20861725]\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "zz2DWUnhl_g1"
      },
      "source": [
        "### Ideal gas law  "
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "uoPaofKKl_g1",
        "outputId": "ddbf6c49-a936-4a88-86e9-35d7b8b3959b"
      },
      "source": [
        "import numpy as np\n",
        "\n",
        "# Caricamento del file\n",
        "THERMO_file = np.genfromtxt('/content/thermodynamics_620.dat', delimiter=' ')\n",
        "\n",
        "# Vettori colonna\n",
        "T = THERMO_file[:, 4]\n",
        "P = THERMO_file[:, 5]\n",
        "V = THERMO_file[:, 6]\n",
        "\n",
        "# Valori medi\n",
        "T_sim = T.mean()\n",
        "P_sim = P.mean()\n",
        "V_sim = V.mean()*10**(-27) #conversione in litri\n",
        "\n",
        "# Legge dei gas ideali\n",
        "P_ideal = (1000/(6.022*10**23))*0.0821*T_sim/V_sim\n",
        "\n",
        "# Scostamento percentuale\n",
        "dP = (P_sim-P_ideal)/P_ideal*100\n",
        "\n",
        "print('P_ideal: ', P_ideal,'atm') \n",
        "print('P_sim: ', P_sim,'atm') \n",
        "print('Scostamento percentuale: ', dP, '%')"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "P_ideal:  4.8093259404921564 atm\n",
            "P_sim:  4.689469290553117 atm\n",
            "Scostamento percentuale:  -2.492171489769614 %\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "Ci5seHCpmMpf"
      },
      "source": [
        "## TOLUENE 630"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "-PH10MFrmMpf"
      },
      "source": [
        "### Equilibration fluctuation"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 547
        },
        "id": "9hEKeFb7mMpg",
        "outputId": "2372c6a3-e4b0-4b2f-f3aa-40f6435c1c9f"
      },
      "source": [
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "\n",
        "# Caricamento del file\n",
        "THERMO_file = np.genfromtxt('/content/thermodynamics_equilibration_630.dat', delimiter=' ')\n",
        "\n",
        "time = THERMO_file[:, 0]\n",
        "T = THERMO_file[:, 4]\n",
        "P = THERMO_file[:, 5]\n",
        "V = THERMO_file[:, 6]\n",
        "\n",
        "# Calcolo della media\n",
        "P_media = np.mean(P)\n",
        "\n",
        "# Plot della pressione e del suo valore medio\n",
        "plt.figure(1)\n",
        "plt.plot(time, P)\n",
        "plt.axhline(P_media)\n",
        "print('P_media: ', P_media)\n",
        "\n",
        "# Calcolo della media\n",
        "T_media = np.mean(T)\n",
        "\n",
        "# Plot della pressione e del suo valore medio\n",
        "plt.figure(2)\n",
        "plt.plot(time, T)\n",
        "plt.axhline(T_media)\n",
        "print('T_media: ', T_media)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "P_media:  4.744095095318471\n",
            "T_media:  630.0064581213398\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "ueHDlkCgmMpg"
      },
      "source": [
        "### Diffusion coefficient"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 876
        },
        "id": "gH41t-GymMph",
        "outputId": "f6c7edeb-9d33-48a5-bd98-da3ebf073cd7"
      },
      "source": [
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "from scipy.optimize import curve_fit\n",
        "\n",
        "MSD_file = np.genfromtxt('/content/msd_630.dat', delimiter=' ')\n",
        "time = MSD_file[:, 0]\n",
        "msd = MSD_file[:, 1]\n",
        "plt.figure(1)\n",
        "plt.xlabel(\"t [fs]\")\n",
        "plt.ylabel(\"MSD [Angstrom^2]\")\n",
        "plt.title(\"MSD vs Tempo (Scala lineare)\")\n",
        "plt.plot(time,msd)\n",
        "\n",
        "plt.figure(2)\n",
        "plt.loglog(time,msd)\n",
        "plt.xlabel(\"t [fs]\")\n",
        "plt.ylabel(\"MSD [Angstrom^2]\")\n",
        "plt.title(\"MSD vs Tempo (Scala logaritmica)\")\n",
        "\n",
        "def linea_retta(t,D):\n",
        "  return 6*D*t\n",
        "\n",
        "D, err = curve_fit(linea_retta,time,msd)\n",
        "plt.figure(3)\n",
        "plt.loglog(time,msd)\n",
        "plt.loglog(time,linea_retta(time,D), '--')\n",
        "plt.xlabel(\"t [fs]\")\n",
        "plt.ylabel(\"MSD [Angstrom^2]\")\n",
        "plt.title(\"MSD vs Tempo (Scala logaritmica)\")\n",
        "plt.show()\n",
        "print(D)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "stream",
          "text": [
            "[0.20599098]\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "QnoEPIs6mMph"
      },
      "source": [
        "### Ideal gas law  "
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "1s5V2D55mMpi",
        "outputId": "4bc5489f-8000-4c16-8eb9-dc7788de3dcc"
      },
      "source": [
        "import numpy as np\n",
        "\n",
        "# Caricamento del file\n",
        "THERMO_file = np.genfromtxt('/content/thermodynamics_630.dat', delimiter=' ')\n",
        "\n",
        "# Vettori colonna\n",
        "T = THERMO_file[:, 4]\n",
        "P = THERMO_file[:, 5]\n",
        "V = THERMO_file[:, 6]\n",
        "\n",
        "# Valori medi\n",
        "T_sim = T.mean()\n",
        "P_sim = P.mean()\n",
        "V_sim = V.mean()*10**(-27) #conversione in litri\n",
        "\n",
        "# Legge dei gas ideali\n",
        "P_ideal = (1000/(6.022*10**23))*0.0821*T_sim/V_sim\n",
        "\n",
        "# Scostamento percentuale\n",
        "dP = (P_sim-P_ideal)/P_ideal*100\n",
        "\n",
        "print('P_ideal: ', P_ideal,'atm') \n",
        "print('P_sim: ', P_sim,'atm') \n",
        "print('Scostamento percentuale: ', dP, '%')"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "P_ideal:  4.886527302866154 atm\n",
            "P_sim:  4.7719824659514645 atm\n",
            "Scostamento percentuale:  -2.3440948922459635 %\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "8bxrO21ddWmj"
      },
      "source": [
        "# Diffusion Fit"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 299
        },
        "id": "014aGAcyZ6wJ",
        "outputId": "f0e33dd6-9476-4b71-8053-d1e604ff543f"
      },
      "source": [
        "# Fit della diffusività contro T\n",
        "import matplotlib.pyplot as plt\n",
        "import numpy as np\n",
        "from scipy.optimize import curve_fit\n",
        "\n",
        "T = np.array([550, 573, 590, 620, 630])\n",
        "D = np.array([0.18621044, 0.19406967, 0.19887452, 0.20861725, 0.20599098])\n",
        "\n",
        "def func(x,a,b):\n",
        "  return a*x+b\n",
        "\n",
        "parametri,err = curve_fit(func,T,D)\n",
        "print(parametri)\n",
        "\n",
        "plt.plot(T,D,'o')\n",
        "T = np.linspace(550,630,10000)\n",
        "plt.plot(T,func(T,parametri[0],parametri[1]))\n",
        "plt.show()\n",
        "\n",
        "T = np.array([550, 573, 590, 620, 630])\n",
        "y_values = func(T,parametri[0],parametri[1])\n",
        "correlation_matrix = np.corrcoef(D, y_values)\n",
        "correlation_xy = correlation_matrix[0,1]\n",
        "r_squared = correlation_xy**2\n",
        "\n",
        "print(r_squared)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "[0.0002679  0.03999324]\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "stream",
          "text": [
            "0.9502231789348127\n"
          ],
          "name": "stdout"
        }
      ]
    }
  ]
}