{ "cells": [ { "cell_type": "markdown", "id": "39798053e938702d", "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "source": [ "# My first simulation\n", "\n", "As introduction to the `gamdpy` package let us setting up a simulation\n", "of a Lennard-Jones FCC crystal in the constant $NVT$ ensemble.\n", "For a short summary, see the [minimal.py](../examples/minimal.py) example script. Also, the line `sim = gp.get_default_simulation()` will create a simulation object similar to the below.\n", "\n", "If `gamdpy` is installed correctly, the following package should be imported without any errors. It is recommended to import the package as `gp`." ] }, { "cell_type": "code", "execution_count": 1, "id": "fdbe2ed79de5260f", "metadata": { "ExecuteTime": { "end_time": "2025-08-23T07:57:38.825291Z", "start_time": "2025-08-23T07:57:38.438590Z" }, "execution": { "iopub.execute_input": "2026-05-18T13:26:32.432147Z", "iopub.status.busy": "2026-05-18T13:26:32.431788Z", "iopub.status.idle": "2026-05-18T13:26:32.922968Z", "shell.execute_reply": "2026-05-18T13:26:32.922396Z" } }, "outputs": [], "source": [ "import gamdpy as gp" ] }, { "cell_type": "markdown", "id": "272994b9cf64bd48", "metadata": {}, "source": [ "*We will also import NumPy for numerical calculations and Matplotlib for plotting." ] }, { "cell_type": "code", "execution_count": 2, "id": "4847c36563bf71ed", "metadata": { "ExecuteTime": { "end_time": "2025-08-23T07:57:38.832782Z", "start_time": "2025-08-23T07:57:38.830870Z" }, "execution": { "iopub.execute_input": "2026-05-18T13:26:32.924204Z", "iopub.status.busy": "2026-05-18T13:26:32.924030Z", "iopub.status.idle": "2026-05-18T13:26:32.925821Z", "shell.execute_reply": "2026-05-18T13:26:32.925531Z" } }, "outputs": [], "source": [ "import numpy as np # For numerical operations\n", "import matplotlib.pyplot as plt # For plotting" ] }, { "cell_type": "markdown", "id": "8a72b43d82522780", "metadata": {}, "source": [ "## Initial particle positions\n", "\n", "We wish to set up a configuration of a FCC lattice with $8 \\times 8 \\times 8$ unit cells, with a density of $\\rho = 0.973$. First we create an empty configuration object." ] }, { "cell_type": "code", "execution_count": 3, "id": "eca912f8cf53045", "metadata": { "ExecuteTime": { "end_time": "2025-08-23T07:57:38.880573Z", "start_time": "2025-08-23T07:57:38.878606Z" }, "execution": { "iopub.execute_input": "2026-05-18T13:26:32.926808Z", "iopub.status.busy": "2026-05-18T13:26:32.926717Z", "iopub.status.idle": "2026-05-18T13:26:32.928390Z", "shell.execute_reply": "2026-05-18T13:26:32.928064Z" } }, "outputs": [], "source": [ "configuration = gp.Configuration(D=3)" ] }, { "cell_type": "markdown", "id": "d5d79c20db8a9b9e", "metadata": {}, "source": [ "Information for a few crystal unit cells are avalible with the `gamdpy` package. For example, the FCC unit cell is stored as `rp.unit_cells.FCC`." ] }, { "cell_type": "code", "execution_count": 4, "id": "b39d89cc213277c8", "metadata": { "ExecuteTime": { "end_time": "2025-08-23T07:57:38.927717Z", "start_time": "2025-08-23T07:57:38.924264Z" }, "execution": { "iopub.execute_input": "2026-05-18T13:26:32.929256Z", "iopub.status.busy": "2026-05-18T13:26:32.929174Z", "iopub.status.idle": "2026-05-18T13:26:32.932403Z", "shell.execute_reply": "2026-05-18T13:26:32.932092Z" } }, "outputs": [ { "data": { "text/plain": [ "{'fractional_coordinates': [[0.0, 0.0, 0.0],\n", " [0.5, 0.5, 0.0],\n", " [0.5, 0.0, 0.5],\n", " [0.0, 0.5, 0.5]],\n", " 'lattice_constants': [1.0, 1.0, 1.0]}" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "gp.unit_cells.FCC" ] }, { "cell_type": "markdown", "id": "12ee7e31dbba7918", "metadata": {}, "source": [ "We use the `make_lattice` method to assign positions and a simulation box to the configuration object." ] }, { "cell_type": "code", "execution_count": 5, "id": "f2bc351e-3578-4f51-b786-71e845bd07d4", "metadata": { "ExecuteTime": { "end_time": "2025-08-23T07:57:38.978850Z", "start_time": "2025-08-23T07:57:38.973444Z" }, "execution": { "iopub.execute_input": "2026-05-18T13:26:32.933216Z", "iopub.status.busy": "2026-05-18T13:26:32.933128Z", "iopub.status.idle": "2026-05-18T13:26:32.937897Z", "shell.execute_reply": "2026-05-18T13:26:32.937588Z" } }, "outputs": [], "source": [ "# Setup configuration: FCC Lattice\n", "configuration.make_lattice(\n", " unit_cell=gp.unit_cells.FCC,\n", " cells=[8, 8, 8],\n", " rho=0.973\n", ")" ] }, { "cell_type": "markdown", "id": "8bfbc6d96f2080d4", "metadata": {}, "source": [ "The positions can be accessed with `['r']`. All vector properties, like the positions, are NumPy arrays." ] }, { "cell_type": "code", "execution_count": 6, "id": "c48e7dffc54f7b62", "metadata": { "ExecuteTime": { "end_time": "2025-08-23T07:57:39.027304Z", "start_time": "2025-08-23T07:57:39.024894Z" }, "execution": { "iopub.execute_input": "2026-05-18T13:26:32.939255Z", "iopub.status.busy": "2026-05-18T13:26:32.939110Z", "iopub.status.idle": "2026-05-18T13:26:32.941361Z", "shell.execute_reply": "2026-05-18T13:26:32.941054Z" } }, "outputs": [ { "data": { "text/plain": [ "numpy.ndarray" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "positions = configuration['r']\n", "type(positions)" ] }, { "cell_type": "markdown", "id": "8fa2ef37792d3364", "metadata": {}, "source": [ "To confirm that the positions are as expected, we can visualize the configuration using Matplotlib. " ] }, { "cell_type": "code", "execution_count": 7, "id": "3c1f34c579af36ab", "metadata": { "ExecuteTime": { "end_time": "2025-08-23T07:57:39.186164Z", "start_time": "2025-08-23T07:57:39.072871Z" }, "execution": { "iopub.execute_input": "2026-05-18T13:26:32.942279Z", "iopub.status.busy": "2026-05-18T13:26:32.942191Z", "iopub.status.idle": "2026-05-18T13:26:33.131009Z", "shell.execute_reply": "2026-05-18T13:26:33.129715Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Make 3D plot using matplotlib\n", "fig = plt.figure()\n", "ax = fig.add_subplot(111, projection='3d')\n", "ax.set_title('Initial configuration')\n", "ax.scatter(positions[:,0], positions[:,1], positions[:,2])\n", "ax.set_xlabel('x')\n", "ax.set_ylabel('y')\n", "ax.set_zlabel('z')\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "686d719eba828b28", "metadata": {}, "source": [ "The configuration object also contains a simulation box. Here we use an orthorhombic box. The box lengths can be accessed as seen below." ] }, { "cell_type": "code", "execution_count": 8, "id": "16d0f453d82aaa29", "metadata": { "ExecuteTime": { "end_time": "2025-08-23T07:57:39.196309Z", "start_time": "2025-08-23T07:57:39.193654Z" }, "execution": { "iopub.execute_input": "2026-05-18T13:26:33.133770Z", "iopub.status.busy": "2026-05-18T13:26:33.133522Z", "iopub.status.idle": "2026-05-18T13:26:33.139472Z", "shell.execute_reply": "2026-05-18T13:26:33.138187Z" } }, "outputs": [ { "data": { "text/plain": [ "array([12.815602, 12.815602, 12.815602], dtype=float32)" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "configuration.simbox.get_lengths() # Box lengths" ] }, { "cell_type": "markdown", "id": "f283a4b3544c0a76", "metadata": {}, "source": [ "## Masses and initial velocities\n", "\n", "We set all particle masses to one (the value is broadcast to all particles)." ] }, { "cell_type": "code", "execution_count": 9, "id": "813a39221147cfa2", "metadata": { "ExecuteTime": { "end_time": "2025-08-23T07:57:39.242254Z", "start_time": "2025-08-23T07:57:39.240587Z" }, "execution": { "iopub.execute_input": "2026-05-18T13:26:33.141988Z", "iopub.status.busy": "2026-05-18T13:26:33.141733Z", "iopub.status.idle": "2026-05-18T13:26:33.145647Z", "shell.execute_reply": "2026-05-18T13:26:33.144504Z" } }, "outputs": [], "source": [ "configuration['m'] = 1.0 # Set all masses to 1.0" ] }, { "cell_type": "markdown", "id": "fab961ce1c4b4678", "metadata": {}, "source": [ "Note that `configuration['m']` refer to an NumPy array. For convenience, we above used a `float` to set all masses to the same value. This value will automatically be broadcast to all particles." ] }, { "cell_type": "code", "execution_count": 10, "id": "b1b6ea40a14a352a", "metadata": { "ExecuteTime": { "end_time": "2025-08-23T07:57:39.289927Z", "start_time": "2025-08-23T07:57:39.287762Z" }, "execution": { "iopub.execute_input": "2026-05-18T13:26:33.148555Z", "iopub.status.busy": "2026-05-18T13:26:33.148288Z", "iopub.status.idle": "2026-05-18T13:26:33.152742Z", "shell.execute_reply": "2026-05-18T13:26:33.152055Z" } }, "outputs": [ { "data": { "text/plain": [ "numpy.ndarray" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "type(configuration['m']) # configuration['m'] is a NumPy array" ] }, { "cell_type": "markdown", "id": "cb081d5657bbecc6", "metadata": {}, "source": [ "After masses are set, we can assign random velocities corresponding to an initial kinetic temperature $T = 0.7$." ] }, { "cell_type": "code", "execution_count": 11, "id": "cba45546423ba6f6", "metadata": { "ExecuteTime": { "end_time": "2025-08-23T07:57:39.338073Z", "start_time": "2025-08-23T07:57:39.335159Z" }, "execution": { "iopub.execute_input": "2026-05-18T13:26:33.155027Z", "iopub.status.busy": "2026-05-18T13:26:33.154811Z", "iopub.status.idle": "2026-05-18T13:26:33.158723Z", "shell.execute_reply": "2026-05-18T13:26:33.158233Z" } }, "outputs": [], "source": [ "temperature = 0.7\n", "configuration.randomize_velocities(temperature=temperature)" ] }, { "cell_type": "markdown", "id": "cbb4cc11d857168d", "metadata": {}, "source": [ "To confirm that the initial velocity distribution is as expected, we can compare it the the theoretical Maxwell-Boltzmann distribution." ] }, { "cell_type": "code", "execution_count": 12, "id": "91f8fbcd8b81050b", "metadata": { "ExecuteTime": { "end_time": "2025-08-23T07:57:39.491851Z", "start_time": "2025-08-23T07:57:39.381093Z" }, "execution": { "iopub.execute_input": "2026-05-18T13:26:33.161223Z", "iopub.status.busy": "2026-05-18T13:26:33.161015Z", "iopub.status.idle": "2026-05-18T13:26:33.441048Z", "shell.execute_reply": "2026-05-18T13:26:33.440689Z" } }, "outputs": [ { "data": { "image/png": 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pgKWgqFKlinWB6czMTNatW0fnzp0BWLp0KQ8++CDPPPMMO3fu5OOPP2bOnDm8bseZ10+dOsW8efNo3bq1dVtiYiK33347rVq1YuvWrUybNo1Zs2Yxfvz4fM+xcOFCatasaV11ICkpybo9531SUhJ33303DRo0IDAw0Hrsa6+9Rv/+/YmLi+OGG27ggQce4PHHH2f06NFs3rwZgKeeesq6/7lz57j99tv59ddfiY2NpXv37vTq1SvPqgYTJ06kZcuWxMbGMnToUJ544gn++uuvXPuMGTOGkSNHEhcXR/369bn//vuLXEhel7mMS01NNQPm1NRUo6OULd98YzaD2Vy5stl87px1c8jzP9rtUSj9+lnydO9u5y9UpPhcvHjRvHPnTvPFixf/3njunOXfckk//vH/cUEMGDDA3Lt3b/OJEyfMHh4e5oMHD5oPHTpk9vT0NJ84ccLcu3dv84ABA/I9Njk52QyYt2/fbt126tQpc82aNc1PPPGEOTAw0Dx+/HjrZ9nZ2eYqVaqY58+fbzabzeZmzZqZJ0yYYK5atarZbDab161bZ3ZzczOfPXvWbDabzR07djS/8cYbua75+eefm4OCgqzvAfOiRYvMZrPZfPDgQTNgjo2NverX27lzZ3O5cuXMPj4+Zm9vbzNgrl+/vvngwYPWfV544QVzgwYNzNnZ2dZtH374odnX19eclZVlPc+wYcOsn4eEhJgnT5581etOmjTJXKFCBfPu3btzZX/xxRet79evX28GzLNmzbJu+/rrr82enp5XPa/ZbDY3atTI/MEHH+TK8uCDD1rfZ2dnm6tWrWqeNm2a2Wz++/s0c+ZM6z47duwwA+Zdu3ble418/41fUZjf32rZkZJnNsNbb1leP/00+PgYmwcs3WhubrB0KaxcaXQakTKjSpUq9OzZk08//ZRPPvmEnj17UqVK7oV/9+/fzwMPPEDt2rXx8/MjLCwMIFerQsWKFZk1axbTpk2jTp06jBo1yvqZyWSiU6dOrFy5kjNnzrBjxw6GDBlCVlYWu3btYuXKlbRo0QLfKy3MMTExjBs3Dl9fX+sjZ7xNQZYnuvHGG63H9ejRw7q9X79+xMXFsXXrVtauXUvdunWJjIzk7NmzAOzatYu2bdtau6MA2rdvz7lz5zhy5Eihv7c///wzo0aNYu7cudSvXz/XZ02aNLG+zmnx+WdXX2BgIJcuXSItLQ2wtK4999xzNGrUiAoVKuDr68tff/2Vp2Xnn+c1mUxUq1aN5OTkq+4TFBQEkGcfe3O4tbGkDFi+HGJjwcvr7wHKRqtTBx57zDK54ejRsG6dpWtLpLTx9oZz54y5ro0eeeQRa5fJP8fR5OjVqxfBwcHMmDGD6tWrk52dTXh4OBkZGbn2W716Na6urhw9epTz58/j5+dn/axLly5Mnz6dNWvW0LRpUypUqECnTp1YtWoVK1eupEuXLtZ9s7OzGTt2LHfffXeeLJ6entf9epYsWcLly5cB8PLysm739/enbt26ANStW5dZs2YRFBTE3LlzGTx4MGazOVehA2C+0j347+3Xs3PnTu677z7efPNNIiMj83xerlw56+ucc+e3Laer8Nlnn2Xp0qW8++671K1bFy8vL/773//m+W/wz3PknCf7XzPVX+s6xUXFjpS8t9+2PA8eDP/6C85QL75oGTS9YQP88APceafRiUQKz2RyjNbSQrjtttusvzS7d++e67OTJ0+ya9cuPv74Yzp27AjA2rVr85xj3bp1vP322/zwww+MGjWKp59+mk8//dT6eZcuXRg2bBjz58+3FjadO3fm119/Zd26dQwbNsy6b4sWLdi9e7e1MCmskJCQAu3n6uoKYL0brVGjRixYsCBX0bNu3TrKly9PjRo18j2Hu7s7Wf+aJ+zkyZP06tWLu+++mxEjRtj0NfzbmjVrGDhwIH369AEsY3hyBjyXBurGkpK1ZQtER1vm1YmKMjpNbkFBlgkOAV54QRMNipQQV1dXdu3axa5du6wFQI6KFStSuXJlpk+fzr59+/jtt9+I+tfPjrNnz/LQQw/x9NNP06NHD7766iu+/fZb5s2bZ90nPDycypUr8+WXX1qLnS5durB48WIuXrxIhw4drPu+/PLLfPbZZ7z66qvs2LGDXbt2MXfuXF588cUifZ0XLlzg2LFjHDt2jK1btzJ06FA8PT2tLS9Dhw4lISGBp59+mr/++ovvvvuOV155haioKFxc8v91HRoayurVq0lMTLQOwL777rvx8vLi1VdftV7v2LFjeYqiwqhbty4LFy60dsM98MADxd4aY08qdqRkvfOO5blvX8uyDY7m2WehQgXYsQO++sroNCJlhp+fX65upxwuLi588803xMTEEB4ezogRI3gn5+fIFcOGDcPHx4c33ngDsIyZeeuttxgyZAiJiYmApbsk526rnBaiJk2a4O/vT/PmzXNdu3v37vz4449ER0fTqlUr2rRpw6RJkwrcYnM1M2bMICgoiKCgILp27cqJEydYsmQJDRo0AKBGjRosWbKEP/74g6ZNmzJkyBAGDRp0zSJr3LhxHDp0iDp16hAQEABYuvN27NhBaGio9XpBQUEkJCTYnH3y5MlUrFiRdu3a0atXL7p3706LFi1sPl9JM5lzOgTLqLS0NPz9/UlNTc33fzSxowMHoF49y0rjsbHQrFmeXUJH/WS3yx16s6dtB775pmXcTmioZaLBf/VBiziKS5cucfDgQcLCwgo0lkSktLnWv/HC/P5Wy46UnEmTLIVO9+75FjoO45lnoGpVOHQIFiwwOo2IiBSRih0pGWlpMHu25fVzzxmb5Xq8vf++S2ziRJsnSxMREcegYkdKxrx5lrWwbrgBunY1Os31PfEEeHjA5s3w++9GpxERkSJQsSMlI+cW0AEDSsf8NQEB0L+/5bVWRBcRKdVU7EjxO3AA1qyxFDmlaYXfnNvQFy+GfyyIJ+Joyvh9JuLE7PVvW8WOFL/PPrM833KLZYXz0qJRI+jRwzJm5733jE4jkkfOTLQFWcJApDTKmWzy3/MvFZZmUJbilZ39d7EzYICxWWwRFQU//2wZXD12LFSsaHQiEStXV1cqVKhgXVfI29u70MsKiDiq7OxsTpw4gbe3N25uRStXVOxI8Vq7Fg4ehPLl4co046VKt27QpAls2wYzZjj+nWRS5lSrVg0o/oUURYzg4uJCrVq1ilzEq9iR4pUzMPmee4q0UKBhTCZL687AgfD++zBihCYZFIdiMpkICgqiatWq1sUnRZyFu7v7VZfKKAwVO1Ik15rx2PPyJTZ98TXlgXsv1ecPO86OXKLuuw9GjYLERPj2W+jXz+hEInm4uroWeVyDiLPSAGUpNt33rKd8xkXi/QPZVLOR0XFs5+EBTz1leT1liqFRRESk8FTsSLH5z5+/AbAw/GbMplL+T+2xxyzdV5s3Q1yc0WlERKQQSvlvIHFU1dJS6HAoDoCFN95sbBh7CAiAu+6yvJ41y9AoIiJSOCp2pFj02bkCF8z8UbMR8RWDjI5jH48+ann+4gvL0hciIlIqqNiRYnHnzlUALAjvZnASO+rWDUJC4MwZrYYuIlKKqNgRuws+c4yGJw6RaXJhaf22RsexHxcXGDTI8nrmTGOziIhIganYEbuL3LsBgD+Cwznj5WdwGjt7+GFL0bNqFezZY3QaEREpABU7Ync5xc6yem0MTlIMata0rJcFGqgsIlJKqNgRu6p0IZWWR3YCEO2MxQ7A4MGW5zlzQDPWiog4PM2gLHbVbd8fuJqz+TOwDon+VQ3Ncq3ZnW1x6M2elhc9e0JgIBw/Dj/+WDrX/BIRKUPUsiN25dRdWDnKlbOM3QENVBYRKQVU7IjdeGVcouOhWMDJix2ARx6xPP/yCyQkGJtFRESuScWO2E2ng1vwzMwg3j+QvwJCjY5TvOrVgy5dIDsbPvnE6DQiInINDlfsTJ06lbCwMDw9PYmIiGDNmjXX3D89PZ0xY8YQEhKCh4cHderUYfbs2SWUVv4pcu96AMvcOiaTwWlKQE7rzhdfgNlsbBYREbkqhxqgPHfuXIYPH87UqVNp3749H3/8MT169GDnzp3UqlUr32Puvfdejh8/zqxZs6hbty7JyclkZmaWcHJxy8qk2/5NQBnowsrRpw94e8PevZYFQlu1MjqRiIjkw6GKnUmTJjFo0CAGX7m1d8qUKSxdupRp06YxYcKEPPv/8ssvrFq1igMHDlCpUiUAQkNDr3mN9PR00tPTre/T0tLs9wWUYa2O7KDCpXOc9PIjpkZDo+OUDF9f6N0bvv4avvxSxY6IiINymG6sjIwMYmJiiIyMzLU9MjKSdevW5XvM999/T8uWLXn77bepUaMG9evXZ+TIkVy8xiKNEyZMwN/f3/oIDg6269dRVuXchfVr3dZku7ganKYE9etnef76a1CLooiIQ3KYYiclJYWsrCwCAwNzbQ8MDOTYsWP5HnPgwAHWrl3Ln3/+yaJFi5gyZQrz58/nySefvOp1Ro8eTWpqqvWRoDtpis5sJnLPlVvO65eRLqwckZFQpQokJ8Py5UanERGRfDhMsZPD9K+BrWazOc+2HNnZ2ZhMJr788ktuuukmbr/9diZNmsScOXOu2rrj4eGBn59frocUzY3H91Pj7AkulPNgbUgzo+OUrHLloG9fy+svvzQ2i4iI5Mthip0qVarg6uqapxUnOTk5T2tPjqCgIGrUqIG/v791W8OGDTGbzRw5cqRY88rfIvduBGBVWATp5TwMTmOAnK6sRYvgwgVjs4iISB4OU+y4u7sTERFBdHR0ru3R0dG0a9cu32Pat2/P0aNHOXfunHXbnj17cHFxoWbNmsWaV/7W6eAWAH6r09LgJAZp0wZq14Zz5+D7741OIyIi/+IwxQ5AVFQUM2fOZPbs2ezatYsRI0YQHx/PkCFDAMt4m/79+1v3f+CBB6hcuTIPP/wwO3fuZPXq1Tz77LM88sgjeHl5GfVllCn+F8/S5NheANaEtjA4jUFMJnjgAcvrL74wNouIiOThUMVO3759mTJlCuPGjaNZs2asXr2aJUuWEBISAkBSUhLx8fHW/X19fYmOjubMmTO0bNmSfv360atXL95//32jvoQyp93hrbias9lTuRbH/KoYHcc4OV1ZS5dCSoqxWUREJBeT2Vy2p35NS0vD39+f1NRUDVa2wVfNbuOBrUuZ1bI3r3V71Og4xcq66vnVRETAli3w4YcwdGjJhBIRKaMK8/vboVp2pJQxm+l00LLw55rQ5gaHcQAPPmh51l1ZIiIORcWO2G7vXmqmJZPu6sbG4HCj0xjvvvvAxQXWrYMDB4xOIyIiV6jYEdstWwbA5pqNuOjuaXAYBxAUBDffbHk9d66xWURExErFjtjuSrFTZu/Cys+991qe580zNoeIiFip2BHbZGTAihUArAnTeB2rPn3A1RViY2H/fqPTiIgIKnbEVhs2wLlzpHj7s7NqmNFpHEeVKtC1q+W1WndERByCih2xjbULqzlmk/4Z5XLPPZZnFTsiIg5Bv6XENkuXAurCyldOV9aWLborS0TEAajYkcJLSYGYGEDz6+QrIAC6dLG8VuuOiIjhVOxI4S1fDmYzNG7MCd9KRqdxTOrKEhFxGCp2pPCujNchMtLYHI6sTx/LBIMxMerKEhExmIodKRyzWcVOQVSt+ndX1vz5hkYRESnrVOxI4fz1Fxw5Ah4e0LGj0Wkcm7qyREQcgoodKZzffrM8d+gAXl7GZnF0d99t6cravBkOHjQ6jYhImaViRwpn1SrLc04XjVxd1arQubPltbqyREQMo2JHCs5s/rvYyfklLtemriwREcOp2JGC270bkpPB0xNuusnoNKVDTlfWpk1w+LDRaUREyiQVO1JwOa06bdpYBijL9QUGWsY3ASxebGgUEZGyys3oAFKKrFxpeS6j43VCR/1k03GPuDXgZVazYeJM7kuqa91+6M2e9oomIiLXoJYdKRiN17HZsvptAGh1ZCeVLqQanEZEpOwpUrFz+fJlEhIS2L17N6dOnbJXJnFE+/ZBUhK4u0Pr1kanKVWO+AfyZ2AdXM3ZdNu30eg4IiJlTqGLnXPnzvHxxx/TpUsX/P39CQ0NpVGjRgQEBBASEsKjjz7Kpk2biiOrGCmnVad1a82vY4Ol9SytO933rDc4iYhI2VOoYmfy5MmEhoYyY8YMbr75ZhYuXEhcXBy7d+9m/fr1vPLKK2RmZnLrrbdy2223sXfv3uLKLSVNXVhFsrR+WwA6HorDJ/2CwWlERMqWQg1QXrduHStWrKBx48b5fn7TTTfxyCOP8NFHHzFr1ixWrVpFvXr17BJUDKTxOkW2p0oIBysGEXY6ic4Ht7Dkhg5GRxIRKTMKVezMK+DEaB4eHgwdOtSmQOKADh2ChARwc4O2bY1OUzqZTCyr15bH/1hI9z3rVeyIiJQg3Y0l15fTqtOqFfj4GJulFFtaz1Iodt2/iXJZlw1OIyJSdqjYketTF5ZdxNZoQLJPRfwyLtDu8Daj44iIlBmF6sYKCwvDZDIV+iLDhw/nmWeeKfRx4iBU7NiF2eRCdL3W9Iv7RXdliYiUoEIVO3PmzLHpIqGhoTYdJw4gIQEOHgRXV2jf3ug0pd7Sem3pF/cLt+7bAFlZlu+riIgUq0IVO53/8Zf9wYMHCQsLs3sgcTA5rTotWkD58sZmcQLrQ5qQ5uFDwPkzsGGDCkgRkRJg85idhg0bMnz4cFJSUuyZRxxNznpY6sKyi8uu5fitTkvLm0WLjA0jIlJG2FzsrFmzhh07dlCnTh1ef/11LlzQRGlOSeN17G7ZlbuyWLzYMoeRiIgUK5uLnVatWhEdHc28efNYvHgxdevWZfr06WRnZ9sznxjp2DHLmlgmE3TQvDD2srJ2BOmubrB/P+zcaXQcERGnV+RbzyMjI9m0aROTJ09m4sSJNGrUiIULF9ojmxht3TrLc+PGUKGCoVGcyQV3L9aFNLW8+f57Y8OIiJQBdptnp2fPnsyaNYtKlSpxzz332Ou0YqTff7c8t2tnbA4n9GvdKyvHq9gRESl2hbob659mz57Njh072LlzJzt27CAxMRGTyUStWrW444477JlRjJLTsqM7huzu17o38fqyqbBxo6W7sFo1oyOJiDgtm4ud0aNHEx4eTuPGjfnPf/5D48aNCQ8Px0fLCTiHS5cgJsbyWi07dne8fBVo2RI2b4Yff4TBg42OJCLitGwudo4fP27PHOJoYmLg8mUIDATNp1Q87rzTUux8/72KHRGRYuRwa2NNnTqVsLAwPD09iYiIYM2aNVfdd+XKlZhMpjyPv/76qwQTO6mcLqx27Sx3Y4n99e5teY6OhvPnjc0iIuLEHKrYmTt3LsOHD2fMmDHExsbSsWNHevToQXx8/DWP2717N0lJSdZHvXr1SiixE/tnsSPFo3FjCAmxdBn++qvRaUREnJZDLQQ6adIkBg0axOArTfpTpkxh6dKlTJs2jQkTJlz1uKpVq1JBt0bbj9msYqckmEyWrqwPPrB0ZeW09IiIiF05zEKgGRkZxMTEMGrUqFzbIyMjWZfzi/cqmjdvzqVLl2jUqBEvvvgiXbt2veq+6enppKenW9+npaVdN1uZs38/JCeDu7tlTSwpPr17W4qdH37QwqAiIsXE5oVA7S0lJYWsrCwCAwNzbQ8MDOTYsWP5HhMUFMT06dOJiIggPT2dzz//nG7durFy5Uo6deqU7zETJkxg7Nixds/vVHKKy5YtwdPT2CzOrlMn8PeHEycst6GrJU1ExO4KNWbnemNn/i0xMbFQ+wN5usnMZvNVu84aNGjAo48+SosWLWjbti1Tp06lZ8+evPvuu1c9/+jRo0lNTbU+EhISCp3R6akLq+SUKwc9elhea4JBEZFiUahip1WrVjz66KP88ccfV90nNTWVGTNmEB4eXqhlI6pUqYKrq2ueVpzk5OQ8rT3X0qZNG/bu3XvVzz08PPDz88v1kH9RsVOycsbqfPedsTlERJxUobqxdu3axRtvvMFtt91GuXLlaNmyJdWrV8fT05PTp09bZ1Nu2bIl77zzDj1y/mItAHd3dyIiIoiOjqZPnz7W7dHR0fQuxMDN2NhYgoKCCvNlyT+lpsKff1pet21rbJay4rbbwM0N/voL9uyB+vWNTiQi4lQKVexUqlSJd999l/Hjx/Pzzz+zevVqDh06xMWLF6lSpQr9+vWje/fuhIeH2xQmKiqKhx56iJYtW9K2bVumT59OfHw8Q4YMASxdUImJiXz22WeA5W6t0NBQbrzxRjIyMvjiiy9YsGABCxYssOn6ZUHoqJ+u+XnHg1v43GzmcIVqdJ4SU0KpyrgKFaBzZ1i+3DJQ+X//MzqRiIhTsWkG5ePHj+Pm5sb999/PTTfdZLcwffv25eTJk4wbN46kpCTCw8NZsmQJISEhACQlJeUaN5SRkcHIkSNJTEzEy8uLG2+8kZ9++onbb7/dbpnKmpZHdgEQU6OhwUnKmN69LcXO99+r2BERsTOT2Ww2F+aAr7/+mgEDBpCZmYnJZKJ58+b8/PPPBAQEFFfGYpWWloa/vz+pqallYvzO9Vp2Pv/mRToejmNM5FC+bK6isTgderPnP94csizL4epque2/UiXDcomIlAaF+f1d6JadsWPH0r9/f1544QUSEhJ49tlnGTVqFLNmzbI5sDgGl+wsmiftBtSyUxL+XXj+UiWEG1IOM2zAG3x349XnirqaXMWTiIhYFXq5iAMHDvDSSy9Ru3ZtOnfuzOeff84333xTHNmkhDVIOYxvxkXOunuxp0oto+OUOcvrWrqEb9l39bsdRUSk8Apd7GRmZuLl5WV936BBA7Kzs6868Z+UHhGJlgVUY6vfQLaLZvItaTnFTueDW3DLyjQ4jYiI87BpIdBPP/2UdevWce7cOQDc3Ny4cOGCXYNJyWuRaBmcvKXGDQYnKZviguqT4u2PX/p5Wh3ZYXQcERGnUehip0OHDowfP54OHTpQoUIF6tWrx6VLl5g1axYrVqzQWlOlWEROsVNdxY4Rsl1cWVG7FaCuLBEReyp0sbN69WpSU1PZvXs3X3zxBX369KFTp05MmzaNbt26UalSJRo21ODW0qbShVRCzli6IuOqNzA4Tdn165WurG77/rCsPi8iIkVm0zw7APXq1aNevXrcd9991m0HDx5k8+bNxMbG2iWclJymSXsA2F+pJmmevganKbvWhDUn3dWN0DNJ1Dl5hP1Vgo2OJCJS6tlc7OQnLCyMsLAw7rnnHnueVkpAs6OWW87jqmupAiNdcPdiQ60mdD64hW77/1CxIyJiBzYNUBbn0/xKsRMbpC4so+XqyhIRkSJTsSNgNlu7sTRex3i/1bEUOy0Td1Hhogb8i4gUlYodIez0UfzTz3PJzZ2/AkKNjlPmJfpXZVdAKK7mbLoc0GKsIiJFpWJHrON1/gysQ6arXYdxiY1+rdsa0C3oIiL2oGJHaHZlPaytQRqc7ChyZlPudCCGclmXDU4jIlK6FUux4+Liws0330xMjJrgS4NmR6+M11Gx4zC2BtXjhE8F/DIu0CpBsymLiBRFsRQ7s2fPpnPnzjzzzDPFcXqxI4/MDBomHwQgVoOTHYbZ5MJvmk1ZRMQuiqXYGThwIK+88gq///57cZxe7KjR8QO4Z2eS4u3PEf9Ao+PIP+R0ZXXbr9mURUSKwuZiZ+DAgaxevdqeWcQAOeN14oLqg8lkcBr5p7WhzUh3dSPkzDHqnDxidBwRkVLL5mLn7NmzREZGUq9ePd544w0SExPtmUtKiHW8jrqwHM4Fdy/W12oKXGndERERm9hc7CxYsIDExESeeuop5s2bR2hoKD169GD+/Plcvqy7R0qLv1t2VOw4ouV1LeN2NJuyiIjtijRmp3LlygwbNozY2Fj++OMP6taty0MPPUT16tUZMWIEe/futVdOKQb/XOl8W1A9g9NIfjSbsohI0dllgHJSUhLLli1j2bJluLq6cvvtt7Njxw4aNWrE5MmT7XEJKQZa6dzx/XM25c6aTVlExCY2FzuXL19mwYIF3HHHHYSEhDBv3jxGjBhBUlISn376KcuWLePzzz9n3Lhx9swrdvT3eB3Nr+PIcu7K0i3oIiK2sXltgKCgILKzs7n//vv5448/aNasWZ59unfvToUKFYoQT4pTzngdrXTu2JbXuYmn1n9L54NbcMvK1JIeIiKFZPNPzcmTJ3PPPffg6el51X0qVqzIwYMHbb2EFCetdF5qbA2qR4q3P1UupNLqyE7WhzQxOpKISKliczdW586d8fDwyLPdbDYTHx9fpFBS/MJOH6XCpXNa6bwUyHZxZUXtnLuyNhqcRkSk9LG52AkLC+PEiRN5tp86dYqwsLAihZLip5XOSxfrLeiaTVlEpNBsLnbMZjOmfGbcPXfu3DW7tsQx5HRhaaXz0mFNaHMyXNwIO51E7VOawFNEpDAK/Sd9VFQUACaTiZdeeglvb2/rZ1lZWWzcuDHfwcriWJqp2ClVznt4s6FWYzodiqXbvj84ULmm0ZFEREqNQhc7sbGxgKVlZ/v27bi7u1s/c3d3p2nTpowcOdJ+CcXuymVdtq50vlWTCZYay+veZCl29v/BjNZ3Gx1HRKTUKHSxs2LFCgAefvhh3nvvPfz8/OweSopX/ROH8ci6zBlPXw5XCDI6jhTQ8jqtGPvrx7Q8shP/i2dJ9SpvdCQRkVLB5jE7n3zyiQqdUqrpMcsyHtuq1dNK56XIkQrV2F2lFm7mbDof1GzKIiIFVaiWnaioKF577TV8fHysY3euZtKkSUUKJsWnSZKl2Nlera7BSaSwlte9iQYp8dyy7w++b9TF6DgiIqVCoYqd2NhY64rmOWN38pPfXVriOJrktOxovE6p82ud1gzdMJ8uB2I0m7KISAEV6idlznidf7+W0sPz8iXqnzgMwNZquhOrtImrXp+TXn5Uvpim2ZRFRArI5jE7Fy9e5MKFC9b3hw8fZsqUKSxbtswuwaR4NDp+EDdzNsk+FTlWvrLRcaSQsl1c+a1OzsKgmk1ZRKQgbC52evfuzWeffQbAmTNnuOmmm5g4cSK9e/dm2rRpdgso9tX0mGV+nW3V6mpwcin165VV0Lvt02zKIiIFYXOxs2XLFjp27AjA/PnzqVatGocPH+azzz7j/ffft1tAsa/Gx/YBsE2TCZZaa8Kak+7qRuiZJOqcPGJ0HBERh2dzsXPhwgXKl7fM87Fs2TLuvvtuXFxcaNOmDYcPH7ZbQLGvpkn/uO1cSqUL7l5sqGUZq3PLfnVliYhcj83FTt26dVm8eDEJCQksXbqUyMhIAJKTkzX/jqNKTaXOKUtLgO7EKt1ydWWJiMg12VzsvPzyy4wcOZLQ0FBat25N27ZtAUsrT/PmzW0ONHXqVMLCwvD09CQiIoI1a9YU6Ljff/8dNzc3rct1LTGWieiO+FXllLe/wWGkKHIGKUck/kWFi2kGpxERcWw2Fzv//e9/iY+PZ/Pmzfzyyy/W7d26dWPy5Mk2nXPu3LkMHz6cMWPGEBsbS8eOHenRowfx8fHXPC41NZX+/fvTrVs3m65bZmzeDGg9LGeQ6F+VnVXDcDVn03X/ZqPjiIg4NJuLHYBq1arRvHlzXFz+Ps1NN93EDTfcYNP5Jk2axKBBgxg8eDANGzZkypQpBAcHX/furscff5wHHnjA2rp0Lenp6aSlpeV6lBmbNgHqwnIWv9ZRV5aISEEUafrV5cuXs3z5cpKTk8nOzs712ezZswt1royMDGJiYhg1alSu7ZGRkaxbt+6qx33yySfs37+fL774gvHjx1/3OhMmTGDs2LGFyuY0coodTSboFJbXvYln1s+l88EYymVdNjqOiIjDsrllZ+zYsURGRrJ8+XJSUlI4ffp0rkdhpaSkkJWVRWBgYK7tgYGBHDt2LN9j9u7dy6hRo/jyyy9xcytY3TZ69GhSU1Otj4SEhEJnLZVOnIArd8n9Wa2OwWHEHrYF1SPZpyLlMy7SOv5Po+OIiDgsm1t2PvroI+bMmcNDDz1kzzx51tUym835rrWVlZXFAw88wNixY6lfv+AtFR4eHnh4eBQ5Z6lzpVVnf6WanPXwMTiM2IPZ5MJvdVpx37ZldNuvriwRkauxuWUnIyODdu3a2S1IlSpVcHV1zdOKk5ycnKe1B+Ds2bNs3ryZp556Cjc3N9zc3Bg3bhxbt27Fzc2N3377zW7ZnIIGJzul5XVzlo7QbMoiIldjc7EzePBgvvrqK7sFcXd3JyIigujo6Fzbo6Oj8y2q/Pz82L59O3FxcdbHkCFDaNCgAXFxcbRu3dpu2ZyCdbyOih1nsjakGZfc3AlOPQ5/qitLRCQ/NndjXbp0ienTp/Prr7/SpEkTypUrl+vzSZMmFfqcUVFRPPTQQ7Rs2ZK2bdsyffp04uPjGTJkCGAZb5OYmMhnn32Gi4sL4eHhuY6vWrUqnp6eebaXeWazih0nddHdk7UhTbll/yb4/nto3NjoSCIiDsfmYmfbtm3WCfz+/NdflPmNsSmIvn37cvLkScaNG0dSUhLh4eEsWbKEkJAQAJKSkq47547k48gROH4cXF3ZGRhmdBqxs+h6bSzFznffwZgxRscREXE4JrO5bHf0p6Wl4e/vT2pqqvMuc7FoEdx9NzRtSuhtrxudRuws4NxpNn7YHxfMkJgI1asbHUlEpNgV5vd3kSYVXLNmDQ8++CDt2rUjMTERgM8//5y1a9cW5bRib1cGJ9OypbE5pFic8K1IXPUrdyT+8IOxYUREHJDNxc6CBQvo3r07Xl5ebNmyhfT0dMByl9Qbb7xht4BiByp2nN6vda8MyP/+e2ODiIg4IJuLnfHjx/PRRx8xY8aMXIOT27Vrx5YtW+wSTuzAbFaxUwYsq9fG8mL5cjh3ztgwIiIOxuZiZ/fu3XTq1CnPdj8/P86cOVOUTGJPhw/DqVNQrpzu1HFi+yoHQ506kJ4Oy5YZHUdExKHYXOwEBQWxb9++PNvXrl1L7dq1ixRK7CinVadxYyiLM0eXFSYT9O5tef3dd8ZmERFxMDYXO48//jjDhg1j48aNmEwmjh49ypdffsnIkSMZOnSoPTNKUagLq+y4807L808/QWamsVlERByIzfPsPPfcc6SmptK1a1cuXbpEp06d8PDwYOTIkTz11FP2zChFoWKn7GjfHipVgpMnYd06yKebWUSkLCrSreevv/46KSkp/PHHH2zYsIETJ07w2muv2SubFJXZDDExltcqdpyfmxv07Gl5rbuyRESsilTsAHh7e9OyZUtuuukmfH197ZFJ7OXAAThzBtzd4cYbjU4jJeGf43bK9nyhIiJWherGioqKKvC+tqyNJXaW04XVtKml4BHnFxlp+W+9bx/89Rc0bGh0IhERwxWq2ImNjc31PiYmhqysLBo0aADAnj17cHV1JSIiwn4JxXYar1P2lC8P3brBzz9bWndU7IiIFK7YWbFihfX1pEmTKF++PJ9++ikVK1YE4PTp0zz88MN07NjRvinFNhqvUzbdeeffxc6oUUanERExnM1jdiZOnMiECROshQ5AxYoVGT9+PBMnTrRLOCmC7Oy/ix21tJUtObegb9gAR48am0VExAHYXOykpaVx/PjxPNuTk5M5e/ZskUKJHezbB2lp4OkJjRoZnUZKUvXq0FprZYmI5LC52OnTpw8PP/ww8+fP58iRIxw5coT58+czaNAg7r77bntmFFvkjNdp1syyVISULX36WJ4XLTI2h4iIA7C52Pnoo4/o2bMnDz74ICEhIYSEhNCvXz969OjB1KlT7ZlRbKHxOmVbTrHz22+W6QdERMowm4sdb29vpk6dysmTJ4mNjWXLli2cOnWKqVOn4uPjY8+MYouclh2N1ymb6te33ImVmQlLlhidRkTEUEWeVNDHx4cmTZrQtGlTFTmOIisLtmyxvFbLTtmlriwREaAIa2OJA9uzB86dA29vuOEGo9NICQkd9VOu942TAvgBOP/dj7T430LSyxV81ftDb/a0czoREeMUuWVHHFDOeJ3mzS3rJUmZtL1aXY6Wr4LP5Uu0P7zV6DgiIoZRseOMNF5HAEwmltVrA0D3PesNDiMiYhz92V8K/Lt74nrmzY+mFTBivxuLCnmsOJel9dsycMuP3LJvI67ZWWS5uBodSUSkxNncsjNw4EBWr15tzyxiBy7ZWdyYvB+AbdXqGZxGjLap5o2c8fSl8sU0IhJ3GR1HRMQQNhc7Z8+eJTIyknr16vHGG2+QmJhoz1xiozonj+B9OZ3z5Tw5WKm60XHEYJmubiyvexOgriwRKbtsLnYWLFhAYmIiTz31FPPmzSM0NJQePXowf/58Ll++bM+MUghNju0D4M/AOmSry0KApfXaAleKHbPZ4DQiIiWvSAOUK1euzLBhw4iNjeWPP/6gbt26PPTQQ1SvXp0RI0awd+9ee+WUAmp8zPI9316trsFJxFGsDmvORTcPaqYl0yj5oNFxRERKnF3uxkpKSmLZsmUsW7YMV1dXbr/9dnbs2EGjRo2YPHmyPS4hBdT4SsvOtiCN1xGLS+U8WR3WHIDue9YZnEZEpOTZXOxcvnyZBQsWcMcddxASEsK8efMYMWIESUlJfPrppyxbtozPP/+ccePG2TOvXINrdhY3Jh8A4M9AtezI336p3w6AHrtV7IhI2WPzredBQUFkZ2dz//3388cff9CsWbM8+3Tv3p0KFSoUIZ4URr2UeDwzMzjr7qXByZLL8ro3keHiRv2T8dRJSWB/lWCjI4mIlBibW3aGDRvGkSNH+PDDD3MVOmazmfj4eAAqVqzIwYMaI1BScrqw/qxWF7NJ80XK39I8ffk9tCkAPfb8bnAaEZGSZfNvxFdffZVz587l2X7q1CnCwsKKFEpsk1PsbFcXluRjSYP2gLqyRKTssbnYMV/lFtZz587h6elpcyCxXRPdiSXXEF2vDZkmF25MPkDI6aNGxxERKTGFHrMTFRUFgMlk4uWXX8bb29v6WVZWFhs3bsx3/I4UL7esTBpeua1Yd2JJfs54+bG+VhM6Ho6jx+51fNTmv0ZHEhEpEYUudmJjYwFLy8727dtxd3e3fubu7k7Tpk0ZOXKk/RJKgdRPiccj6zJpHj4crhBkdBxxUD/f0J6Oh+O4bc/vKnZEpMwodLGzYsUKAB5++GHee+89/Pz87B5KCu/vyQTrgMlkcBpxVMvqteG1ZdNolrSXGqnJJPpXNTqSiEixs3nMzieffKJCx4H8PV5HXVhydSk+FdlUsxEAt2mCQREpIwrVshMVFcVrr72Gj4+PdezO1UyaNKlIwaRwwo9ZVjrXnVhyPUsatKdNwp/02P07s1rdZXQcEZFiV6hiJzY21rrIZ87YnfyY1I1SotwzL2twshTYL/XbMe7Xj2mZuIvAsykcL1/F6EgiIsWqUN1YK1assM6IvGLFiqs+fvvtN5sDTZ06lbCwMDw9PYmIiGDNmjVX3Xft2rW0b9+eypUr4+XlxQ033FAm1+Kqn3IY9+xMznj6kuAfaHQccXDJ5SuzuUZD4MpK6CIiTs6hptmdO3cuw4cPZ8yYMcTGxtKxY0d69OhhnZH533x8fHjqqadYvXo1u3bt4sUXX+TFF19k+vTpJZzcWLkmE1SrmhTAz1cmGLx9t2ZTFhHnV+gxOwVly5idSZMmMWjQIAYPHgzAlClTWLp0KdOmTWPChAl59m/evDnNmze3vg8NDWXhwoWsWbOGxx57rNDXL62sd2IFabyOFMzPDdrx0m8zaXVkJ1XOnybFp6LRkUREik2hx+wUhC1jdjIyMoiJiWHUqFG5tkdGRrJuXcHuGomNjWXdunWMHz/+qvukp6eTnp5ufZ+WllborI6myZWWnW26E0sK6KhfVeKC6tEsaS+37VnPF81vNzqSiEixKVSxkzPHTnFISUkhKyuLwMDcY04CAwM5duzYNY+tWbMmJ06cIDMzk1dffdXaMpSfCRMmMHbsWLtkdgQemRnUP3EYsCwAKlJQP97QkWZJe7lj12oVOyLi1BxqzA7kbRUym83XbSlas2YNmzdv5qOPPmLKlCl8/fXXV9139OjRpKamWh8JCQl2yW2UBicO4Z6dySkvP474aYI4KbifbugIwE0JO6h69qTBaUREio/DzLNTpUoVXF1d87TiJCcn52nt+becVdYbN27M8ePHefXVV7n//vvz3dfDwwMPD49CZXNkOV1Y26tpcLIUTpJfAJtqNKJV4k567l7LJy17Gx1JRKRYOMw8O+7u7kRERBAdHU2fPn2s26Ojo+ndu+A/hM1mc64xOc4u/J/Fjkgh/diwI60Sd9Jr12oVOyLitGwes1Mc43eioqJ46KGHaNmyJW3btmX69OnEx8czZMgQwNIFlZiYyGeffQbAhx9+SK1atbjhhhsAy7w77777Lk8//bTdszmqv5eJULEjhbekQXte+XU6LY7upmbqcY5oniYRcUKFXgg0P2azGSj6zMl9+/bl5MmTjBs3jqSkJMLDw1myZAkhISEAJCUl5ZpzJzs7m9GjR3Pw4EHc3NyoU6cOb775Jo8//niRcpQWHpfTrYOTVeyILU74VmJDrca0i99Gz7/W8HFrrYQuIs6nSAOUZ82aRXh4OJ6ennh6ehIeHs7MmTOLFGjo0KEcOnSI9PR0YmJi6NSpk/WzOXPmsHLlSuv7p59+mj///JPz58+TmprKli1beOKJJ3Bxcbhx18XixuQDuJmzOeFdgaPlA4yOI6XUjw0tA5Xv2HX12cpFREozm6uCl156iWHDhtGrVy/mzZvHvHnz6NWrFyNGjODFF1+0Z0a5iiZJli6sbUH1NDhZbPZz/XZkmlxofHw/oacSjY4jImJ3NndjTZs2jRkzZuS66+nOO++kSZMmPP3009ec2E/sI2e8jiYTlKI47e3P76HN6HxwC3f8tYb/a3ef0ZFEROzK5padrKwsWrZsmWd7REQEmZmZRQolBZPTsrNVK51LEf14Zc6dXrtWG5xERMT+bC52HnzwQaZNm5Zn+/Tp0+nXr1+RQsn1+aZfoPaVLoftatmRIlpavy0ZLm40SImn/olDRscREbErmxcCNZlMzJw5k2XLltGmTRsANmzYQEJCAv3797dvSsmj8bF9uGDmiF8AJ30qGB1HSrk0T19W1W7Brfv+uDJQ+UmjI4mI2E2RFgKNiIgAYP/+/QAEBAQQEBDAjh077BRPrqaxxuuInf14Q0du3fcHvf5aDWazBr2LiNNwmIVApXByxuts13gdsZNf67bmkps7YaeTICYG8hmTJyJSGhV5UsGdO3cSHx9PRkaGdZvJZKJXr15FPbVcQ9MrLTtb1bIjdnLew5vouq3p9dca+OILFTsi4jRsLnYOHDhAnz592L59OyaTKc8syllZWfZJKHlUvJBKcOpxAP7UzMliRwvDb7YUO19/De++C252mWRdRMRQNt+NNWzYMMLCwjh+/Dje3t7s2LGD1atX07Jly1yzHIv95ax0vr9SDdI8fQ1OI85kTWhzTnr5QXIyREcbHUdExC5sLnbWr1/PuHHjCAgIwMXFBRcXFzp06MCECRN45pln7JlR/qVJ0h5A62GJ/WW6uvFDwytLtHzxhbFhRETspEiTCvr6WloVqlSpwtGjRwEICQlh9+7d9kkn+cpp2dlWrb7BScQZLb6xq+XFokVw9qyxYURE7MDmYic8PJxt27YB0Lp1a95++21+//13xo0bR+3ate0WUPLKWSZCMydLcYgLqg/16sHFi7B4sdFxRESKzOZi58UXXyQ7OxuA8ePHc/jwYTp27MiSJUt4//337RZQcgs8m0LguVNkmVzYWVVFpRQDkwkefNDyWl1ZIuIEbL7Vonv37tbXtWvXZufOnZw6dYqKFSta78gS+8vpwtpTpRYX3T0NTiNOq18/eOUV+PVXSEqCoCCjE4mI2Mzmlp1/MpvNmM1mKlWqpEKnmOVMJqiZk6VY1akDbdtCdrblNnQRkVKsSMXOrFmzCA8Px9PTE09PT8LDw5k5c6a9skk+ml65E2ubxutIcVNXlog4CZuLnZdeeolhw4bRq1cv5s2bx7x58+jVqxcjRozgxRdftGdGyWE209h6J5aKHSlmfftaJhWMjQWtdycipZjNY3amTZvGjBkzuP/++63b7rzzTpo0acLTTz/N+PHj7RJQ/hacepyKl86S7urGX1VDjY4jzq5yZbj9dvj+e/jyS3jjDaMTiYjYpEjz7LTMZ+2ciIgIMjMzixRK8pfThbWrahiXXcsZnEbKhH92ZWkJGBEppWwudh588EGmTZuWZ/v06dPp169fkUJJ/qwrnasLS0pKr15QoQIkJMDy5UanERGxSaG6saKioqyvTSYTM2fOZNmyZbRp0waADRs2kJCQQP/+/e2bUoC/VzrXeB0pMZ6eltvQP/wQPvkEIiONTiQiUmiFKnZiY2NzvY+IiABg//79AAQEBBAQEMAODWa0O9fsLBpfKXZiqzcwOI2UKY88Yil2Fi2CU6egUiWjE4mIFEqhip0VK1YUVw65jvoph/G+nM5Zdy/2V65pdBwpS5o3h6ZNYetWy5w7Tz5pdCIRkUKx+W4sgDNnzjBr1ix27dqFyWSiUaNGPPLII/j7+9srn1zR7Ojf8+uYTXaZC1KkYEwmS+vOsGEwe7aKHREpdWz+rbl582bq1KnD5MmTOXXqFCkpKUyaNIk6deqwZcsWe2YU/r4TKy5IXVhigH79wN0dtmyxtPCIiJQiNrfsjBgxgjvvvJMZM2bg5mY5TWZmJoMHD2b48OGsXr3abiEFmh3dDUCcxutICQgd9VOebR+GtaLn7t+ZPehlxt3yWKHOd+jNnvaKJiJSaEVq2Xn++eethQ6Am5sbzz33HJs3b7ZLOLHwSb9A/ZR4QC07Ypx5jW8F4K6dK3HPvGxwGhGRgrO52PHz8yM+Pj7P9oSEBMqXL1+kUJJbk2P7cMHMEb8ATvhWNDqOlFGrw5qT5FuZShfT6LZvo9FxREQKzOZip2/fvgwaNIi5c+eSkJDAkSNH+Oabbxg8eHCuJSSk6JolXenCUquOGCjbxZUFjbsBcO/2aIPTiIgUnM1jdt59911MJhP9+/e3Lg9Rrlw5nnjiCd588027BZS/x+tsDapvcBIp6+Y1voWn1n9Lp4OxVEtL4ZhfFaMjiYhcl80tO+7u7rz33nucPn2auLg4YmNjOXXqFJMnT8bDw8OeGcs2s5lmOXdiVVexI8Y6XLE6G4PDcTVn858/tXyEiJQONhU7ly9fpmvXruzZswdvb28aN25MkyZN8Pb2tnc+SUwk8NwpMk0ubK9W1+g0Inx7ZaDyfduW4ZKtxUFFxPHZVOyUK1eOP//8E5PJZO888m8bLQNBdweEcqmcp8FhRODHGzpwxtOX4NTjdDqoObVExPHZ3I3Vv39/Zs2aZc8skp8rxY66sMRRpJfzYH64ZaDyg7FLDE4jInJ9Ng9QzsjIYObMmURHR9OyZUt8fHxyfT5p0qQihxP+LnZ0J5Y4kK+a9WDw5u+4ef9maqQmk+hf1ehIIiJXZXOx8+eff9KiRQsA9uzZk+szdW/ZSWYmXJmgMU53YokDOVC5Jr+HNKH94W3ct3UpEzs9ZHQkEZGrsrnY0QroJWDHDrhwQSudi0P6otntlmJn21Leb38fl13LGR1JRCRfhR6zc+HCBZ588klq1KhB1apVeeCBB0hJSSmObHKlC2tbUD2yXVwNDiOSW3S9NiT7VCTg/Blu3asZlUXEcRW62HnllVeYM2cOPXv25L777iM6OponnnjCboGmTp1KWFgYnp6eREREsGbNmqvuu3DhQm699VYCAgLw8/Ojbdu2LF261G5ZDPfHH4DG64hjynR145smkYAGKouIYyt0sbNw4UJmzZrF9OnTef/99/npp59YvHgxWVlFn29j7ty5DB8+nDFjxhAbG0vHjh3p0aNHvmtwAaxevZpbb72VJUuWEBMTQ9euXenVqxexsbFFzuIQrHdiqdgRx/RNs+5kmVxoF7+NOicTjI4jIpIvk9lsNhfmAHd3dw4ePEiNGjWs27y8vNizZw/BwcFFCtO6dWtatGjBtGnTrNsaNmzIXXfdxYQJEwp0jhtvvJG+ffvy8ssvF2j/tLQ0/P39SU1Nxc/Pz6bcxeLsWfD3B7OZVk9+xgnfSkYnEsnXjAXjuHXfH8xq2ZvXuj2a7z6H3uxZwqlExNkV5vd3oVt2srKycHd3z7XNzc3Nuj6WrTIyMoiJiSEyMjLX9sjISNatW1egc2RnZ3P27FkqVbp6YZCenk5aWlquh0PavBnMZggOVqEjDu3LZrcD8N/tv+J5+ZLBaURE8ir03Vhms5mBAwfmWv/q0qVLDBkyJNdcOwsXLizUeVNSUsjKyiIwMDDX9sDAQI4dO1agc0ycOJHz589z7733XnWfCRMmMHbs2EJlM8SVLixatzY2h8h1rKrdggT/QIJTj3PnztV82zTy+geJiJSgQrfsDBgwgKpVq+Lv7299PPjgg1SvXj3XNlv9e44es9lcoHl7vv76a1599VXmzp1L1apXn+Bs9OjRpKamWh8JCQ46zuD33y3P7doZm0PkOswmFz5vbmndeTjme0uLpIiIAyl0y84nn3xSHDmoUqUKrq6ueVpxkpOT87T2/NvcuXMZNGgQ8+bN45Zbbrnmvh4eHo6/KrvZDDldd+3awSLd2i+O7Zum3Rn2+9c0PHGIdoe3si60mdGRRESsbF4by97c3d2JiIggOjo61/bo6GjaXaN14+uvv2bgwIF89dVX9OzpJIMg9+yBU6fA0xOaNzc6jch1pXn6Mq+x5Q+NQZu/MziNiEhuDlPsAERFRTFz5kxmz57Nrl27GDFiBPHx8QwZMgSwdEH179/fuv/XX39N//79mThxIm3atOHYsWMcO3aM1NRUo74E+8jpwmrVCv41GFzEUc2J6EU2Jrrt30Ttk0eMjiMiYuVQxU7fvn2ZMmUK48aNo1mzZqxevZolS5YQEhICQFJSUq45dz7++GMyMzN58sknCQoKsj6GDRtm1JdgH//swhIpJQ5VqsHyuq0AGBjzg8FpRET+Vuh5dpyNQ86z07Ah/PUXfP899OpF6KifjE4kUiBtD2/j629e4EI5D9o+MYdUr/KA5tkREfsr1nl2pJidPGkpdADatjU2i0ghra/VmJ1Vw/C+nM79W51o6RYRKdVU7Dia9estzw0aQJUqxmYRKSyTidktewPQf8uPuGUVbbJRERF7ULHjaDReR0q57xt25oRPBaqfTaHH7t+NjiMiomLH4eQUO+3bG5tDxEYZbuX4vLlljM6gzd9pkkERMZyKHUdy+TL88YfltVp2pBT7slkP0l3L0SxpD62O7DA6joiUcSp2HElcHFy8CBUrWsbsiJRSJ30qML9xNwCeXD/P4DQiUtap2HEk/1wPy0X/aaR0+6j1f8kyudDlYAxs2WJ0HBEpw/Qb1ZFocLI4kYQK1fi+YSfLmwkTjA0jImWaih1HYTb/3bKjwcniJKa2ucfyYsGCv+ePEhEpYSp2HEV8PBw9Cm5uljWxRJzA3oAQltZrYynm33zT6DgiUkap2HEUOV1YzZuDt7exWUTsyNq688UXcOiQoVlEpGxSseMo/jk4WcSJbK3eAG65BbKy4N13jY4jImWQih1HocHJ4sxeeMHyPHMmHDtmbBYRKXNU7DiCs2dh61bLaxU74oy6dIE2bSA9HSZPNjqNiJQxKnYcwYYNkJ0NtWpBzZpGpxGxP5MJxoyxvP7wQzhxwtg8IlKmqNhxBKtWWZ47dzY2h0hx6tkTIiLg/HndmSUiJUrFjiNYudLy3KWLkSlEipfJBOPHW15/+CEkJhqbR0TKDBU7Rjt//u/FP1XsiLPr3h06dLCM3ckpfEREipmKHaOtX29Z7Tw4GMLCjE4jUrxMJnjjDcvrmTPhwAFj84hImaBix2g5XVidO1t+EYg4u44dLS08mZnw6qtGpxGRMkDFjtFyBierC0vKkpwurC++gB07jM0iIk7PzegAZdqFC7Bxo+W1ih1xYqGjfsqzbVr9dvTYs46f736MJ/q8UKjzHXqzp72iiUgZoJYdI+WM16lZE2rXNjqNSIma1KEf2ZjosWcd4cf2GR1HRJyYih0j/fOWc43XkTJmb0AIi2/sAsColZ9YVkYXESkGKnaMpPl1pIyb1KEf6a5udDi8lW77/zA6jog4KRU7RtF4HRGOVKjGrFZ3ATDmt1mUy7psbCARcUoqdoyi8ToiAExtcy8nfCpQ+/RR+sf8aHQcEXFCKnaMovl1RAA45+HNOx37AzBs3TdUupBqcCIRcTYqdoyi8ToiVvMbd+PPwDr4pZ9nxNovjY4jIk5GxY4RLlzQelgi/5Dt4sprNw8G4IG4X2hw4pCxgUTEqajYMcKGDZCRATVqQJ06RqcRcQgbazVmSf12uJqzeWn5DN2KLiJ2o2LHCJpfRyRfb3R9xHor+q37NhodR0SchIodI2i8jki+jlSoxsxWfQB4NfpjfNIvGJxIRJyBip2Sdv783/PrdO5sbBYRB/RBu77E+wdS4+wJ/rfmC6PjiIgTULFT0lautIzXCQmBunWNTiPicC6V82RM9ycBGBjzA02S9hicSERKOxU7Je2XXyzPPXpovI7IVawJa8GiRl1wwcybv3yAW1am0ZFEpBRTsVPScoqd224zNoeIgxt/82BOe5anUfJBHtn8ndFxRKQUU7FTkvbtszzc3ODmm41OI+LQTvpU4PWbBwEwYu1X1DxzzOBEIlJauRkdwBmFjvop3+39Y35gHLC+ekPuf311yYYSKYXmh3fj7j9/o138Nl5fNpUB94xV96+IFJrDtexMnTqVsLAwPD09iYiIYM2aNVfdNykpiQceeIAGDRrg4uLC8OHDSy6oDTof3ALAqrAIg5OIlBImE2O6P0m6azk6H9zCPdujjU4kIqWQQxU7c+fOZfjw4YwZM4bY2Fg6duxIjx49iI+Pz3f/9PR0AgICGDNmDE2bNi3htIXjkZlB2/htAKyq3cLgNCKlx8FKNZjUsR8AryyfQa3TSQYnEpHSxqGKnUmTJjFo0CAGDx5Mw4YNmTJlCsHBwUybNi3f/UNDQ3nvvffo378//v7+BbpGeno6aWlpuR4loeWRnXhfTue4byV2BYSVyDVFnMWMVn3YGByOb8ZFJv84ETJ1d5aIFJzDFDsZGRnExMQQGRmZa3tkZCTr1q2z23UmTJiAv7+/9REcHGy3c19L5wMxAKwKa6ExByKFlO3iSlTPKNLcvYk4+he8+abRkUSkFHGYYiclJYWsrCwCAwNzbQ8MDOTYMfvdhTF69GhSU1Otj4SEBLud+1o6H8wpdjReR8QWif5VeTnyCcubV1+FTZsMzSMipYfDFDs5TP9q9TCbzXm2FYWHhwd+fn65HsUtKO0EDVLiyTK5sDa0WbFfT8RZLW7UhR9v6AhZWfDgg5blV0RErsNhip0qVarg6uqapxUnOTk5T2tPadPpyl1YcUH1SfUqb3AakVLMZGJM5FCoUQP27IH//c/oRCJSCjhMsePu7k5ERATR0blvLY2OjqZdu3YGpbIP63id2urCEimqVK/y8OmnljcffwxffWVsIBFxeA5T7ABERUUxc+ZMZs+eza5duxgxYgTx8fEMGTIEsIy36d+/f65j4uLiiIuL49y5c5w4cYK4uDh27txpRPx8uWVl0uFQHHBlcLKIFF23bvDCC5bXjz4K27cbm0dEHJpDzaDct29fTp48ybhx40hKSiI8PJwlS5YQEhICWCYR/PecO82bN7e+jomJ4auvviIkJIRDhw6VZPSran70L/wyLnDSy49tQfWMjiPiPMaNswxSjo6Gu++2vK5QwehUIuKAHKrYARg6dChDhw7N97M5c+bk2WY2m4s5UdHkzJq8Jqw5ZpNDNaSJlG6urpYurIgIy5pz/fvD4sXgov/PRCQ3/VQoZjfvt9weu1pdWCL2V6UKLFwIHh7www8wYYLRiUTEAanYKUahpxJplHyQTJMLv9VpZXQcEecUEQFTp1pev/QSLF1qbB4RcTgqdorR7bt/B2BdSFPOeBX/fD4iZdYjj8Bjj4HZDPfeqwHLIpKLip1i1POvtQD8dEMHg5OIlAHvvw+dOkFaGtx+Oxw5YnQiEXEQKnaKScjpo9yYfIBMkwvL6rUxOo6I8/PwgEWL4IYbLIVOz56WwkdEyjwVO8Ukp1VnXUhTTnsXbEV2ESmiSpXg55+hWjXYtg3+8x/IyDA6lYgYTMVOMckZr7OkQXuDk4iUMaGh8NNP4OMDv/5qmXTQwaeoEJHipWKnGNQ6nUT48f1kmlxYWr+t0XFEyp4WLWD+fMtcPJ99Bs8+q4JHpAxTsVMMeu62dGGtr9VEXVgiRrntNpg+3fJ64kR4/nkVPCJllIqdYnD7lfE6S3QXloixHnkEPvzQ8vqdd2D0aBU8ImWQih17O3CAxurCEnEcQ4fC//2f5fVbb1kWEFXBI1KmqNixt3nzANhQqzGn1IUl4hiefBI++MDy+s03YcwYFTwiZYiKHXu7UuyoC0vEwTz1lGXiQbCsofX005CVZWwmESkRJrOjLxtezNLS0vD39yc1NRU/vyIu6XDgANSpQ5bJhZue/IyTPhXsklFE7OehLT8yNvpjXDDzS/223Ba3HLy8jI4lIoVUmN/fatmxp2+/BWBDrXAVOiIO6vMWd/BU7+dJdy3HbXvWQ7dukJJidCwRKUYqduwlOxtmzADgu4ZdjM0iIte05IYOPNj3NVI9fGD9emjf3tIyKyJOScWOvSxbZvlh6e/P9406GZ1GRK5jU3A4/3nwHahVC/bsgTZtYMUKo2OJSDFQsWMvU6danh9+mEvlPI3NIiIFsq9KLUvLTrNmcOIE3HILvP227tQScTIqduzh0CH48UfL6yFDDI0iIoVUvTr8/jv072/pjn7+ebj7bkhNNTqZiNiJih17mD7d8pfgLbdAgwZGpxGRwvL2hjlz4KOPwN0dFi+GVq0sK6eLSKmnYqeo0tNh5kzL66FDjc0iIrYzmeDxx2HtWss4nr17LQXPW29pPh6RUk7FTlEtWGDp669RA3r1MjqNiBRVq1YQEwN33AEZGTBqFHToALt3G51MRGykYqeocgYmP/44uLkZm0VE7KNKFfj+e5g9G/z8YMMGyyDmKVMs43pEpFRRsVMUW7daBja6ucHgwUanERF7Mpng4Yfhzz/h1lvh0iUYMcJyi/rGjUanE5FCUFNEUUybZnm++24ICjI2i4jYJHTUT9ffqfkzPOBSn9ErZlN+0yZo04Z54bfwducBnPCtmGvXQ2/2LKakImIrtezYKjUVvvjC8loDk0Wcm8nEV816cPOj05kXfgsA9/z5K7/NeIxHNy7EPfOywQFF5FpU7NhqyhQ4fx4aNYJOmjFZpCw44VuRZ3sO566HJhIXVI/yGRcZs3I2K6c/yoOxS1T0iDgorXpuy6rnR45A/fpw8aJl8c977sn1cYGaxUWkVDOZs/nv9l+JWvMlQedOAnDEL4Ca74yHgQMt8/WISLHRqufF7YUXLIVOhw7w3/8anUZEDGA2uTCvSSRdHp/By7c8znHfStRMO2G5M7NePXj3XTh92uiYIoKKncLbtAk+/9zyevJkyx0bIlJmpbu581lELzo9NoOx3R6FatUgPh6efRZq1rSM6du1y+iYImWaip3CMJstt56CZR2dli2NzSMiDiO9nAeftOwNBw5YZlVv3BguXLDctdmoEXTrZvlD6fx5o6OKlDkqdgpj3jzLvDre3vDGG0anERFH5OUFgwZZ5uFasQLuusvSAvzbb5Y/kqpVs8zfs3KlJigUKSEqdgrq0iXLashgea5Rw9g8IuLYTCbo0gUWLbK09owdC3XqwLlzlkVHu3a1dHM98QQsXWpZmkJEioWKnYKaMgUOHbL8cBo50ug0IlKahIbCyy9bFhdds8Yy47qfHyQlWVZav+02CAiABx6Azz6DxESjE4s4Fd16fuXWteDh3+Li4Z3vPo2OH+Dbr57HN+Miw+/4H4tv7FrCKUWktCjwDMrp6ZZurkWL4Lvv4Pjx3J83bAi33GIZ69OunaUYEhGrwtx6rmLnOsVO2KlE5n35HFUupLKuVhP63Tces0kNYiJiPyZzNs2P7qbbvj9ofziOJkn7cOFfP5rr1oW2bS2P1q3hxhvBw8OYwCIOQMVOIVyr2KmWlsL8L5+lZtoJ/gysw/33v8FZDx+DkopIWeF/8Sxt4rfT8VAsNyXsoP7J+Dz7XHZxZV/lYHZWDWNn1drsCQhhf+WaJJWvctU/yLRulziTwhQ7Wgj0KipdSOWLuS9SM+0E+yvVYMA9Y1XoiEiJSPUqz9IG7VjaoB0AfpfO0fzoblok/kWLxF00Pr6PCpfO0fDEIRqeOMR/dqywHnuhnAcHKtVkf6WaHK5QjYQKgRzxr0Z8hWqQlQWurkZ9WSKGcbiWnalTp/LOO++QlJTEjTfeyJQpU+jYseNV91+1ahVRUVHs2LGD6tWr89xzzzFkyJACXy+/lh3f9At89c0LNDm2j8TyAdzz4Fsc9ata5K9NRMQuzGaCzqbQKPkAjY4foFHyQeqeTCD09FHKZWdd/ThXVwgKstxoUbOm5a7S6tUhMBCqVrU8BwZClSrqIhOHV2pbdubOncvw4cOZOnUq7du35+OPP6ZHjx7s3LmTWrVq5dn/4MGD3H777Tz66KN88cUX/P777wwdOpSAgAD+85//FPr6oacSuWvnSv7z528Epx7npJcfD/V9TYWOiDgWk4kkvwCS/AJYXre1dbNbVibBqcepc/IIdU4lEHzmOLXOHKNm6nFqpibjnpVpWdvvyJHrX8PHBypVgsqVLc8VKoC/f+5H+fLg62t5lC9vOcbb+++Hjw94eqo1SQznUC07rVu3pkWLFkybNs26rWHDhtx1111MmDAhz/7PP/8833//Pbv+MRX7kCFD2Lp1K+vXry/QNXMqw9WBdel4fJ91+0kvP/rfO44d1eoW4SsSEXEMLtlZHHimheW29sTEv4ueY8csd4IlJ//9nHWN1iFblCtnKXo8PP5+dnf/+9nd3bLPvx9ubn8/u7lZiqac538+XFxyv8555Lw3ma7+nPPIeQ+5t/97W87ra2375/PVtv37s+tts2Wf4jjWFn5+ljsL7axUtuxkZGQQExPDqFGjcm2PjIxk3bp1+R6zfv16IiMjc23r3r07s2bN4vLly5QrVy7PMenp6aSnp1vfp6amAhB2fB+nMLEutCk/3tCR32q34pK7J6RfKOqXJiJiuGyg1sR//hEYZHlUxvJoZNlqMmfjm34B/0vn8L90jgqXzuJ/8SzlMy5SPv085dMv4JtxgfLpF7i9tp9lksTz5/9+vnjR8rh06e9LXb5seZw9W2JfrziQhg1hwwa7nzYtLQ2AgrTZOEyxk5KSQlZWFoGBgbm2BwYGcuzYsXyPOXbsWL77Z2ZmkpKSQlBQUJ5jJkyYwNixY/NsDwbADIfiLA8REbm2PUYHkFJh1y5Lt2cxOXv2LP7XOb/DFDs5TP9qXjObzXm2XW///LbnGD16NFFRUdb3Z86cISQkhPj4+Ot+s8S+0tLSCA4OJiEh4bpNkGI/+r4bR997Y+j7bpzi/N6bzWbOnj1L9erVr7uvwxQ7VapUwdXVNU8rTnJycp7WmxzVqlXLd383NzcqV66c7zEeHh545HOXgb+/v/4nMIifn5++9wbQ9904+t4bQ9934xTX976gjRQOMxWwu7s7ERERREdH59oeHR1Nu3bt8j2mbdu2efZftmwZLVu2zHe8joiIiJQ9DlPsAERFRTFz5kxmz57Nrl27GDFiBPHx8dZ5c0aPHk3//v2t+w8ZMoTDhw8TFRXFrl27mD17NrNmzWKkFuoUERGRKxymGwugb9++nDx5knHjxpGUlER4eDhLliwhJCQEgKSkJOLj/542PSwsjCVLljBixAg+/PBDqlevzvvvv1+oOXY8PDx45ZVX8u3akuKl770x9H03jr73xtD33TiO8r13qHl2REREROzNobqxREREROxNxY6IiIg4NRU7IiIi4tRU7IiIiIhTK/PFztSpUwkLC8PT05OIiAjWrFljdCSnt3r1anr16kX16tUxmUwsXrzY6EhlwoQJE2jVqhXly5enatWq3HXXXezevdvoWE5v2rRpNGnSxDqpWtu2bfn555+NjlUmTZgwAZPJxPDhw42O4tReffVVTCZTrke1atUMzVSmi525c+cyfPhwxowZQ2xsLB07dqRHjx65bm8X+zt//jxNmzbl//7v/4yOUqasWrWKJ598kg0bNhAdHU1mZiaRkZGcP3/e6GhOrWbNmrz55pts3ryZzZs3c/PNN9O7d2927NhhdLQyZdOmTUyfPp0mTZoYHaVMuPHGG0lKSrI+tm/fbmieMn3reevWrWnRogXTpk2zbmvYsCF33XUXEyZMMDBZ2WEymVi0aBF33XWX0VHKnBMnTlC1alVWrVpFp06djI5TplSqVIl33nmHQYMGGR2lTDh37hwtWrRg6tSpjB8/nmbNmjFlyhSjYzmtV199lcWLFxMXF2d0FKsy27KTkZFBTEwMkZGRubZHRkaybt06g1KJlJzU1FTA8otXSkZWVhbffPMN58+fp23btkbHKTOefPJJevbsyS233GJ0lDJj7969VK9enbCwMO677z4OHDhgaB6HmkG5JKWkpJCVlZVnkdHAwMA8i4uKOBuz2UxUVBQdOnQgPDzc6DhOb/v27bRt25ZLly7h6+vLokWLaNSokdGxyoRvvvmGLVu2sGnTJqOjlBmtW7fms88+o379+hw/fpzx48fTrl07duzYcdVFuotbmS12cphMplzvzWZznm0izuapp55i27ZtrF271ugoZUKDBg2Ii4vjzJkzLFiwgAEDBrBq1SoVPMUsISGBYcOGsWzZMjw9PY2OU2b06NHD+rpx48a0bduWOnXq8OmnnxIVFWVIpjJb7FSpUgVXV9c8rTjJycl5WntEnMnTTz/N999/z+rVq6lZs6bRccoEd3d36tatC0DLli3ZtGkT7733Hh9//LHByZxbTEwMycnJREREWLdlZWWxevVq/u///o/09HRcXV0NTFg2+Pj40LhxY/bu3WtYhjI7Zsfd3Z2IiAiio6NzbY+OjqZdu3YGpRIpPmazmaeeeoqFCxfy22+/ERYWZnSkMstsNpOenm50DKfXrVs3tm/fTlxcnPXRsmVL+vXrR1xcnAqdEpKens6uXbsICgoyLEOZbdkBiIqK4qGHHqJly5a0bduW6dOnEx8fz5AhQ4yO5tTOnTvHvn37rO8PHjxIXFwclSpVolatWgYmc25PPvkkX331Fd999x3ly5e3tmr6+/vj5eVlcDrn9cILL9CjRw+Cg4M5e/Ys33zzDStXruSXX34xOprTK1++fJ4xaT4+PlSuXFlj1YrRyJEj6dWrF7Vq1SI5OZnx48eTlpbGgAEDDMtUpoudvn37cvLkScaNG0dSUhLh4eEsWbKEkJAQo6M5tc2bN9O1a1fr+5w+3AEDBjBnzhyDUjm/nCkWunTpkmv7J598wsCBA0s+UBlx/PhxHnroIZKSkvD396dJkyb88ssv3HrrrUZHEykWR44c4f777yclJYWAgADatGnDhg0bDP3dWqbn2RERERHnV2bH7IiIiEjZoGJHREREnJqKHREREXFqKnZERETEqanYEREREaemYkdEREScmoodERERcWoqdkRERMSpqdgRERERp6ZiR0RERJyaih0RsasuXbowfPhwu+9b2tj7a1u5ciWhoaHFfoyIM1KxI+LkBg4ciMlkwmQyUa5cOWrXrs3IkSM5f/58kc57tV/mCxcu5LXXXivSuUVE7KlMr3ouUlbcdtttfPLJJ1y+fJk1a9YwePBgzp8/b10JvTAyMjJwd3e/6ueVKlUqSlQREbtTy45IGeDh4UG1atUIDg7mgQceoF+/fixevBiAX375hQ4dOlChQgUqV67MHXfcwf79+63HdunShaeeeoqoqCiqVKnCrbfeysCBA1m1ahXvvfeetdXo0KFD1v1zWnyys7N56623qFu3Lh4eHtSqVYvXX3/9qjnNZjNvv/02tWvXxsvLi6ZNmzJ//vxrfm3z58+ncePGeHl5UblyZW655RZrq1VO9qeeesr69b344ouYzeYCX7Mgmc6fP0///v3x9fUlKCiIiRMnFiqnrapWrcrMmTNzbdu0aRMeHh65/huKlHVq2REpg7y8vLh8+TJg+UUdFRVF48aNOX/+PC+//DJ9+vQhLi4OFxfL30OffvopTzzxBL///jtms5mgoCD27NlDeHg448aNAyAgICDPdUaPHs2MGTOYPHkyHTp0ICkpib/++uuquV588UUWLlzItGnTqFevHqtXr+bBBx8kICCAzp0759k/KSmJ+++/n7fffps+ffpw9uxZ1qxZk6uY+fTTTxk0aBAbN25k8+bNPPbYY4SEhPDoo48W6JoFyfTss8+yYsUKFi1aRLVq1XjhhReIiYmhWbNmBc5pi/DwcHbs2JHne/7YY49Rp04dEhISinR+EadhFhGnNmDAAHPv3r2t7zdu3GiuXLmy+d577813/+TkZDNg3r59u9lsNps7d+5sbtasWZ79OnfubB42bNhVt6elpZk9PDzMM2bMuGq2f57j3LlzZk9PT/O6dety7TNo0CDz/fffn+/xMTExZsB86NChq56/YcOG5uzsbOu2559/3tywYcMCXbMgmc6ePWt2d3c3f/PNN9bPT548afby8rJ+bdfLWRArVqwwh4SE5Nr2zDPPmCMjI63vly5davb19TUfP378qseIlEVq2REpA3788Ud8fX3JzMzk8uXL9O7dmw8++ACA/fv389JLL7FhwwZSUlLIzs4GID4+nvDwcABatmxZ6Gvu2rWL9PR0unXrVqD9d+7cyaVLl7j11ltzbc/IyKB58+b5HtO0aVO6detG48aN6d69O5GRkfz3v/+lYsWK1n3atGmDyWSyvm/bti0TJ04kKyvrutcsSKb9+/eTkZFB27ZtrZ9XqlSJBg0aFCqnLcLDw1mwYAFg6W574YUXePbZZ6latWqRzivibFTsiJQBXbt2Zdq0aZQrV47q1atTrlw562e9evUiODiYGTNmUL16dbKzswkPDycjI8O6j4+PT6Gv6eXlVaj9c4qsn376iRo1auT6zMPDI99jXF1diY6OZt26dSxbtowPPviAMWPGsHHjRsLCwop8zaNHj143k7kAXVFFzXk1jRs3JjExkbS0NH7++WeOHDlCVFSUzecTcVYaoCxSBvj4+FC3bl1CQkJyFTonT55k165dvPjii3Tr1o2GDRty+vTpAp3T3d2drKysq35er149vLy8WL58eYHO16hRIzw8PIiPj6du3bq5HsHBwVc9zmQy0b59e8aOHUtsbCzu7u4sWrTI+vmGDRty7b9hwwbq1auHq6vrda9ZkEx169alXLlyua5z+vRp9uzZU6ictggPD8dkMrF161ZeeuklXnnlFXx9fYt0ThFnpJYdkTKsYsWKVK5cmenTpxMUFER8fDyjRo0q0LGhoaFs3LiRQ4cO4evrS6VKlawDmgE8PT15/vnnee6553B3d6d9+/acOHGCHTt2MGjQoDznK1++PCNHjmTEiBFkZ2fToUMH0tLSWLduHb6+vgwYMCDPMRs3bmT58uVERkZStWpVNm7cyIkTJ2jYsKF1n4SEBKKionj88cfZsmULH3zwgfVuqYJc83qf+/r6MmjQIJ599lkqV65MYGAgY8aMyfW9KEhOW/j6+hISEsJzzz0HYB10LSK5qdgRKcNcXFz45ptveOaZZwgPD6dBgwa8//77dOnS5brHjhw5kgEDBtCoUSMuXrzIwYMH88zW+9JLL+Hm5sbLL7/M0aNHCQoKYsiQIVc952uvvUbVqlWZMGECBw4coEKFCrRo0YIXXngh3/39/PxYvXo1U6ZMIS0tjZCQECZOnEiPHj2s+/Tv35+LFy9y00034erqytNPP81jjz1W4GsWJNM777zDuXPnuPPOOylfvjz/+9//SE1NLXDOOXPm8PDDD9t0d1bjxo354Ycf+Pbbb3Fz0490kfyYzLb83yUiUgp06dKFZs2aMWXKFKOjXNOrr77KypUrWbly5VX3WblyJQMHDrTOZ1QQthwj4oz0Z4CIiMGWLl3Ke++9Z3QMEaelYkdExGDr1683OoKIU1OxIyJO61rdQqVNaGhooVdRt+UYEWekMTsiIiLi1DTPjoiIiDg1FTsiIiLi1FTsiIiIiFNTsSMiIiJOTcWOiIiIODUVOyIiIuLUVOyIiIiIU1OxIyIiIk5NxY6IiIg4tf8HkxJ5jv07Hg0AAAAASUVORK5CYII=", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure()\n", "# Histogram of particle speeds\n", "vel = configuration['v']\n", "speeds = np.linalg.norm(vel, axis=1)\n", "bins = np.linspace(0, 5, 25)\n", "plt.hist(speeds, bins=bins, density=True, label='Simulation')\n", "# Theoretical Maxwell-Boltzmann distribution\n", "v = np.linspace(0, 5, 100)\n", "maxwell_boltzmann = (2*np.pi*temperature)**(-3/2)*4*np.pi*v**2*np.exp(-v**2/(2*temperature))\n", "plt.plot(v, maxwell_boltzmann, label='Maxwell-Boltzmann', color='r')\n", "# Plot settings\n", "plt.xlabel(r'Particle speeds, $|v|$')\n", "plt.ylabel(r'Probability density, $P(|v|)$')\n", "plt.xlim(0, None)\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "14e8e0d8fd2046c2", "metadata": {}, "source": [ "## Pair potential\n", "Next, we set up the Lennard-Jones pair potential. We use the 12-6 Lennard-Jones potential\n", "\n", "$$\n", " v_\\infty(r) = 4\\varepsilon \\left[\\left(\\frac{\\sigma}{r}\\right)^{12} - \\left(\\frac{\\sigma}{r}\\right)^{6}\\right]\n", "$$\n", "\n", "(the substript refer to a \"truncation\" at $\\infty$). Here $\\sigma$ (`sigma`) is length, and $\\varepsilon$ (`epsilon`) is an energy. We will use Lennard-Jones units, where $\\sigma = 1$ and $\\varepsilon = 1$.\n", "\n", "Several pair potentials functions are implemented in `gamdpy`, and the above 12-6 Lennard-Jones potential is implemented as `gp.LJ_12_6_sigma_epsilon`. This is a Python function that takes distances, parameters as input and returns the potential energy, the force and the second derivative of the potential energy.\n", "\n", "Let us confirm values are as expected in the minimum of the potential:\n", "\n", "\\begin{align}\n", " r_{min} &= 2^{1/6} \\\\\n", " v(r_{min}) &= -\\varepsilon \\\\\n", " f(r_{min}) &= 0 \\\\\n", " \\left.\\frac{d^2v}{dr^2}\\right|_{r_{min}} &= (624\\cdot2^{-7/3}-168\\cdot2^{-4/3})\\frac{\\varepsilon}{\\sigma^2} \\simeq 57.146\\frac{\\varepsilon}{\\sigma^2}\n", "\\end{align}\n" ] }, { "cell_type": "code", "execution_count": 13, "id": "fe824ac1e21e981", "metadata": { "ExecuteTime": { "end_time": "2025-08-23T07:57:39.501881Z", "start_time": "2025-08-23T07:57:39.498894Z" }, "execution": { "iopub.execute_input": "2026-05-18T13:26:33.442582Z", "iopub.status.busy": "2026-05-18T13:26:33.442459Z", "iopub.status.idle": "2026-05-18T13:26:33.445236Z", "shell.execute_reply": "2026-05-18T13:26:33.444891Z" } }, "outputs": [ { "data": { "text/plain": [ "(np.float32(-0.99999994), np.float32(-5.6769886e-07), np.float32(57.146423))" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pair_func = gp.LJ_12_6_sigma_epsilon # Pair potential function\n", "r_min = 2**(1/6)\n", "u_min, f_min, curvature_min = pair_func(r_min, (1.0, 1.0, np.inf))\n", "u_min, f_min, curvature_min" ] }, { "cell_type": "markdown", "id": "48ed360ea8a7b0c2", "metadata": {}, "source": [ "\n", "To allow for a $O(N)$ algorithm for force calculations, we truncate the pair potential at radius of $r_c = 2.5\\sigma$ (`cutoff`). The potential is shifted to zero at the cutoff radius, so the actual potential is\n", "\n", "$$\n", " v(r) = v_\\infty(r) - v_\\infty(r_c)\n", "$$\n", "\n", "For this, we can use `gp.apply_shifted_potential_cutoff` to modify the pair potential." ] }, { "cell_type": "code", "execution_count": 14, "id": "a01cea8854dcfd66", "metadata": { "ExecuteTime": { "end_time": "2025-08-23T07:57:39.548141Z", "start_time": "2025-08-23T07:57:39.546312Z" }, "execution": { "iopub.execute_input": "2026-05-18T13:26:33.446151Z", "iopub.status.busy": "2026-05-18T13:26:33.446054Z", "iopub.status.idle": "2026-05-18T13:26:33.447831Z", "shell.execute_reply": "2026-05-18T13:26:33.447555Z" } }, "outputs": [], "source": [ "pair_func = gp.apply_shifted_potential_cutoff(gp.LJ_12_6_sigma_epsilon)" ] }, { "cell_type": "markdown", "id": "e09505ebb8d74724", "metadata": {}, "source": [ "Let us plot the pair potential, so confirm that it looks as we expect." ] }, { "cell_type": "code", "execution_count": 15, "id": "ecd5a40e2dab39f7", "metadata": { "ExecuteTime": { "end_time": "2025-08-23T07:57:39.945788Z", "start_time": "2025-08-23T07:57:39.593069Z" }, "execution": { "iopub.execute_input": "2026-05-18T13:26:33.448807Z", "iopub.status.busy": "2026-05-18T13:26:33.448711Z", "iopub.status.idle": "2026-05-18T13:26:33.831059Z", "shell.execute_reply": "2026-05-18T13:26:33.830771Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sigma, epsilon, cutoff = 1.0, 1.0, 2.5\n", "pair_distances = np.linspace(0.95, 3.0, 128)\n", "pair_energies = [pair_func(dist, [sigma, epsilon, cutoff])[0] for dist in pair_distances]\n", "\n", "plt.figure()\n", "plt.plot(pair_distances, pair_energies)\n", "plt.xlabel(r'Pair distance, r')\n", "plt.ylabel(r'Pair energy, $v(r)$')\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "e997fab41eea0a32", "metadata": {}, "source": [ "We can now create an interaction objects using this pair potential function we made." ] }, { "cell_type": "code", "execution_count": 16, "id": "7bf0bd18026a4321", "metadata": { "ExecuteTime": { "end_time": "2025-08-23T07:57:39.952965Z", "start_time": "2025-08-23T07:57:39.950835Z" }, "execution": { "iopub.execute_input": "2026-05-18T13:26:33.832393Z", "iopub.status.busy": "2026-05-18T13:26:33.832216Z", "iopub.status.idle": "2026-05-18T13:26:33.833947Z", "shell.execute_reply": "2026-05-18T13:26:33.833673Z" } }, "outputs": [], "source": [ "pair_pot = gp.PairPotential(pair_func, params=[sigma, epsilon, cutoff], max_num_nbs=1000)" ] }, { "cell_type": "markdown", "id": "f441989eba2b5afc", "metadata": {}, "source": [ "Finally, we create a list will all the interactions in our simulations. In this simulation, we only have one, but later we may want to include more like bonds, walls, or gravity." ] }, { "cell_type": "code", "execution_count": 17, "id": "eb9766512348e5ff", "metadata": { "ExecuteTime": { "end_time": "2025-08-23T07:57:39.998289Z", "start_time": "2025-08-23T07:57:39.996617Z" }, "execution": { "iopub.execute_input": "2026-05-18T13:26:33.834836Z", "iopub.status.busy": "2026-05-18T13:26:33.834729Z", "iopub.status.idle": "2026-05-18T13:26:33.836207Z", "shell.execute_reply": "2026-05-18T13:26:33.835965Z" } }, "outputs": [], "source": [ "interactions = [pair_pot, ]" ] }, { "cell_type": "markdown", "id": "4fb178da11418e73", "metadata": {}, "source": [ "## Integrator\n", "\n", "Next, create an integrator object. These are available in the submodule `gamdpy.integrators`.\n", "Here, we chose to use and implementation of the Nosé-Hoover thermostat discretion using the Leap-Frog scheme (others are available).\n", "We set a time-step of $dt=0.005$ and a thermostat relaxation time to $\\tau = 0.2$ (both in Lennard-Jones units)." ] }, { "cell_type": "code", "execution_count": 18, "id": "416ac50cfb432a21", "metadata": { "ExecuteTime": { "end_time": "2025-08-23T07:57:40.178836Z", "start_time": "2025-08-23T07:57:40.042036Z" }, "execution": { "iopub.execute_input": "2026-05-18T13:26:33.837150Z", "iopub.status.busy": "2026-05-18T13:26:33.837056Z", "iopub.status.idle": "2026-05-18T13:26:33.894301Z", "shell.execute_reply": "2026-05-18T13:26:33.893945Z" } }, "outputs": [], "source": [ "# Setup integrator: Nosé-Hoover NVT, Leap-frog algorithm\n", "integrator = gp.integrators.NVT(temperature=temperature, tau=0.2, dt=0.005)" ] }, { "cell_type": "markdown", "id": "d756518abb2b8422", "metadata": {}, "source": [ "## Runtime actions\n", "We typically want to perform some actions during the simulations. These 'runtime actions' are collected in a list.\n", "\n", "* The `gp.TrajectorySaver` saves positions using a logarithmic timescale in each timeblock. This can later be used to calculate properties such as the mean-square displacement etc.\n", "* The `gp.ScalarSaver` save scalar properties like energy every `steps_between_output=16` timestep.\n", "* The `gp.RestartSaver` saves a 'restart', at the beginning of each timeblock. A restart contains all the information about a configuration, so that a new simulation can be initialized from this.\n", "* During long-time simulations, there might be a drift of the total momentum due to floating point rounding erros. Thus, the `gp.MomentumReset` reset the total momentum every `steps_between_reset=100` timestep. All the runtime actions are collected in a list." ] }, { "cell_type": "code", "execution_count": 19, "id": "8b77075a994d96f5", "metadata": { "ExecuteTime": { "end_time": "2025-08-23T07:57:40.185428Z", "start_time": "2025-08-23T07:57:40.183631Z" }, "execution": { "iopub.execute_input": "2026-05-18T13:26:33.895695Z", "iopub.status.busy": "2026-05-18T13:26:33.895572Z", "iopub.status.idle": "2026-05-18T13:26:33.897380Z", "shell.execute_reply": "2026-05-18T13:26:33.897108Z" } }, "outputs": [], "source": [ "steps_between_output = 16\n", "runtime_actions = [\n", " gp.TrajectorySaver(),\n", " gp.ScalarSaver(steps_between_output=steps_between_output),\n", " gp.RestartSaver(),\n", " gp.MomentumReset(steps_between_reset=100),\n", "]" ] }, { "cell_type": "markdown", "id": "6f7755310cb229a6", "metadata": {}, "source": [ "\n", "## The Simulation object\n", "\n", "We now have all the components to set up a simulation object.\n", "\n", "* An configuration object (particle positions, velocities, masses, ...).\n", "* A list of interactions (here the Lennard-Jones potential).\n", "* An integrator object (here NVT using the Nosé-Hoover thermostat).\n", "* A list of runtime actions\n", "\n", "For the simulation object we also specify that we want `num_timeblocks=8` time blocks of `steps_per_timeblock=1024` steps. We also specify that we want to store the simulation data in a file with `storage='LJ_T0.70.h5'`. Change to `storage='memory'` if you do not want to save a file to the disk." ] }, { "cell_type": "code", "execution_count": 20, "id": "b32d06aec385921a", "metadata": { "ExecuteTime": { "end_time": "2025-08-23T07:57:41.503196Z", "start_time": "2025-08-23T07:57:40.229283Z" }, "execution": { "iopub.execute_input": "2026-05-18T13:26:33.898649Z", "iopub.status.busy": "2026-05-18T13:26:33.898538Z", "iopub.status.idle": "2026-05-18T13:26:37.404887Z", "shell.execute_reply": "2026-05-18T13:26:37.404041Z" } }, "outputs": [], "source": [ "# Setup Simulation\n", "sim = gp.Simulation(configuration, interactions, integrator, runtime_actions,\n", " num_timeblocks=8,\n", " steps_per_timeblock=1024,\n", " storage='LJ_T0.70.h5')" ] }, { "cell_type": "markdown", "id": "825e5830d1317551", "metadata": {}, "source": [ "## Running the simulation\n", "\n", "Finally, we run the simulation using the `sim.run_timeblocs` iterator that will loop over all the timeblocs.\n", "Below we print the status of the simulation after each timeblock." ] }, { "cell_type": "code", "execution_count": 21, "id": "7c705329b8979a50", "metadata": { "ExecuteTime": { "end_time": "2025-08-23T07:57:42.129701Z", "start_time": "2025-08-23T07:57:41.558083Z" }, "execution": { "iopub.execute_input": "2026-05-18T13:26:37.407894Z", "iopub.status.busy": "2026-05-18T13:26:37.407633Z", "iopub.status.idle": "2026-05-18T13:26:38.285245Z", "shell.execute_reply": "2026-05-18T13:26:38.284056Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "timeblock= 0 time= 5.120 U= -6.293 W= 0.676 K= 1.067 \n", "timeblock= 1 time= 10.240 U= -6.280 W= 0.747 K= 1.029 \n", "timeblock= 2 time= 15.360 U= -6.297 W= 0.657 K= 1.083 \n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "timeblock= 3 time= 20.480 U= -6.285 W= 0.721 K= 1.028 \n", "timeblock= 4 time= 25.600 U= -6.258 W= 0.863 K= 1.054 \n", "timeblock= 5 time= 30.720 U= -6.265 W= 0.839 K= 1.038 \n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "timeblock= 6 time= 35.840 U= -6.233 W= 1.000 K= 1.055 \n", "timeblock= 7 time= 40.960 U= -6.301 W= 0.630 K= 1.038 \n", "Particles : 2048 \n", "Steps : 8 * 1024 = 8_192 \n", "Total run time (incl. time spent between timeblocks): 0.87 s ( TPS: 9.42e+03 )\n", "Simulation time (excl. time spent between timeblocks): 0.32 s ( TPS: 2.53e+04 )\n", "\n" ] } ], "source": [ "for timeblock in sim.run_timeblocks():\n", " print(sim.status(per_particle=True))\n", "print(sim.summary())" ] }, { "cell_type": "markdown", "id": "ae8b2b40-9d6b-48c0-8927-449b5da8d7a0", "metadata": {}, "source": [ "The `sim.status()` and `sim.summary()` methods prints some basic information.\n", "\n", "## Analysis of simulation\n", "\n", "The recomended workflow is to use seperate notebooks and/or python scripts to analyse the results from a simulation, utlilizing the data stored in a h5 file (in this case: LJ_T0.70.h5). \n", "\n", "Examples of doing such data analysis are: [post_analysis.ipynb](../tutorials/post_analysis.ipynb), [analyze_dynamics.py](../examples/analyze_dynamics.py), [analyze_structure.py](../examples/analyze_structure.py), [analyze_thermodynamics.py](../examples/analyze_thermodynamics.py)\n", "\n", "In the following, we perform some data analysis, utlizing that the simulation data stored in the h5 file also is accecible immediatly in `sim.output`." ] }, { "cell_type": "markdown", "id": "306f7174-469a-4b6a-91af-0cad0e6c207f", "metadata": {}, "source": [ "First, we extract some thermodynamic quantities stored in the simulation object." ] }, { "cell_type": "code", "execution_count": 22, "id": "3db65137c4f731de", "metadata": { "ExecuteTime": { "end_time": "2025-08-23T07:57:42.140829Z", "start_time": "2025-08-23T07:57:42.137203Z" }, "execution": { "iopub.execute_input": "2026-05-18T13:26:38.288162Z", "iopub.status.busy": "2026-05-18T13:26:38.287794Z", "iopub.status.idle": "2026-05-18T13:26:38.297434Z", "shell.execute_reply": "2026-05-18T13:26:38.296584Z" } }, "outputs": [ { "data": { "text/plain": [ "numpy.ndarray" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Extract potential energy, virial and kinetic energy\n", "U, W, K = gp.ScalarSaver.extract(sim.output, ['U', 'W', 'K'], per_particle=False)\n", "type(U)" ] }, { "cell_type": "markdown", "id": "3141dcd71b41bfcb", "metadata": {}, "source": [ "The variables `U`, `W` and `K` are NumPy arrays with the potential energy, virial and kinetic energy, respectively, for selected timesteps. The number of stored timestep can be found with `len(U)`." ] }, { "cell_type": "code", "execution_count": 23, "id": "f7c1efeb15c7234f", "metadata": { "ExecuteTime": { "end_time": "2025-08-23T07:57:42.190255Z", "start_time": "2025-08-23T07:57:42.187816Z" }, "execution": { "iopub.execute_input": "2026-05-18T13:26:38.299980Z", "iopub.status.busy": "2026-05-18T13:26:38.299653Z", "iopub.status.idle": "2026-05-18T13:26:38.304198Z", "shell.execute_reply": "2026-05-18T13:26:38.303497Z" } }, "outputs": [ { "data": { "text/plain": [ "512" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" } ], "source": [ "len(U)" ] }, { "cell_type": "markdown", "id": "b2b9bbc3769cf520", "metadata": {}, "source": [ "For plotting below, we get the times related to when the scalar quantities were stored (in Lennard-Jones units)." ] }, { "cell_type": "code", "execution_count": 24, "id": "2fa6ea65ca92f5f0", "metadata": { "ExecuteTime": { "end_time": "2025-08-23T07:57:42.244219Z", "start_time": "2025-08-23T07:57:42.238978Z" }, "execution": { "iopub.execute_input": "2026-05-18T13:26:38.306205Z", "iopub.status.busy": "2026-05-18T13:26:38.306008Z", "iopub.status.idle": "2026-05-18T13:26:38.312476Z", "shell.execute_reply": "2026-05-18T13:26:38.311490Z" } }, "outputs": [ { "data": { "text/plain": [ "512" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], "source": [ "times = gp.ScalarSaver.get_times(sim.output)\n", "len(times)" ] }, { "cell_type": "markdown", "id": "c1564e3c98f831d7", "metadata": {}, "source": [ "We can use Matplotlib to plot the potential energy per particle as a function of time. We use sim.configuration.N to get the number of particles." ] }, { "cell_type": "code", "execution_count": 25, "id": "899e99f81dcb7751", "metadata": { "ExecuteTime": { "end_time": "2025-08-23T07:57:42.343377Z", "start_time": "2025-08-23T07:57:42.287915Z" }, "execution": { "iopub.execute_input": "2026-05-18T13:26:38.315020Z", "iopub.status.busy": "2026-05-18T13:26:38.314757Z", "iopub.status.idle": "2026-05-18T13:26:38.377312Z", "shell.execute_reply": "2026-05-18T13:26:38.376991Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "N = sim.configuration.N # Number of particles\n", "\n", "plt.figure()\n", "plt.plot(times, U/N)\n", "plt.xlabel(r'Time, $t$ [$\\sigma\\sqrt{m/\\varepsilon}$]') # Time in LJ units\n", "plt.ylabel(r'Potential energy per particle, $U$ [$\\varepsilon$]') # Energy in LJ units\n", "plt.xlim(0, None)\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "32c872d6a4d0e40d", "metadata": {}, "source": [ "The first part of the simulation show large fluctuations in the potential energy since the system is not yet equilibrated (it was setup in a perfect crystal). Since we are not interested in the equilibration phase, we can discard the fir st timeblock by using the `first_block=1` argument in the `extract_scalars` function. We then need to recalculate the time array." ] }, { "cell_type": "code", "execution_count": 26, "id": "8fc00eb8a9982271", "metadata": { "ExecuteTime": { "end_time": "2025-08-23T07:57:42.419272Z", "start_time": "2025-08-23T07:57:42.351006Z" }, "execution": { "iopub.execute_input": "2026-05-18T13:26:38.378539Z", "iopub.status.busy": "2026-05-18T13:26:38.378426Z", "iopub.status.idle": "2026-05-18T13:26:38.449763Z", "shell.execute_reply": "2026-05-18T13:26:38.449364Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "U, W, K = gp.ScalarSaver.extract(sim.output, ['U', 'W', 'K'], per_particle=False, first_block=1)\n", "times = gp.ScalarSaver.get_times(sim.output, first_block=1)\n", "\n", "plt.figure()\n", "plt.plot(times, U/N, label='Potential energy per particle')\n", "plt.xlabel(r'Time, $t$ [$\\sigma\\sqrt{m/\\varepsilon}$]') # Time in LJ units\n", "plt.ylabel(r'Energy [$\\varepsilon$]') # Energy in LJ units\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "3100c824223f3433", "metadata": {}, "source": [ "After we have ensured that we have an equilibrium simulation, the expectation value of the potential energy per particle can be found with the `np.mean` NumPy function." ] }, { "cell_type": "code", "execution_count": 27, "id": "84cdd1e4317e81ca", "metadata": { "ExecuteTime": { "end_time": "2025-08-23T07:57:42.430591Z", "start_time": "2025-08-23T07:57:42.427659Z" }, "execution": { "iopub.execute_input": "2026-05-18T13:26:38.450876Z", "iopub.status.busy": "2026-05-18T13:26:38.450761Z", "iopub.status.idle": "2026-05-18T13:26:38.452947Z", "shell.execute_reply": "2026-05-18T13:26:38.452691Z" } }, "outputs": [ { "data": { "text/plain": [ "np.float32(-6.2808747)" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.mean(U/N)" ] }, { "cell_type": "markdown", "id": "b67418bdee40433a", "metadata": {}, "source": [ "In an $NVT$ simulation the pressure is often an important quantity, but is not stored in the simulation data directly. The pressure can be calculated from the virial, $W$. Recall,\n", "\n", "$$\n", " pV = Nk_BT + W\n", "$$\n", "\n", "where $p$ is the pressure, $V$ is the volume, $N$ is the number of particles, $k$ is the Boltzmann constant and $T$ is the temperature. The volume can be calculated from the box lengths. In Lennard-Jones units boltzmann constant is $k_B = 1$. Below we use this to calculate the pressure." ] }, { "cell_type": "code", "execution_count": 28, "id": "efefc91dd982ae25", "metadata": { "ExecuteTime": { "end_time": "2025-08-23T07:57:42.480949Z", "start_time": "2025-08-23T07:57:42.478181Z" }, "execution": { "iopub.execute_input": "2026-05-18T13:26:38.454151Z", "iopub.status.busy": "2026-05-18T13:26:38.454049Z", "iopub.status.idle": "2026-05-18T13:26:38.456363Z", "shell.execute_reply": "2026-05-18T13:26:38.456114Z" } }, "outputs": [ { "data": { "text/plain": [ "np.float32(1.4064928)" ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" } ], "source": [ "V = sim.configuration.get_volume() # Volume\n", "dof = 3*N - 3 # Degrees of freedom\n", "T_kin = 2*K/dof # Kinetic temperature\n", "p = (N*T_kin + W)/V # Pressure\n", "np.mean(p) # Mean pressure" ] }, { "cell_type": "markdown", "id": "27ad045fdfbc27e3", "metadata": {}, "source": [ "## Concluding remarks\n", "Congratulations! You have now set up and executed your first simulation with `gamdpy`.\n", "Simulation data have been stored to the disk for later analysis." ] } ], "metadata": { "kernelspec": { "display_name": "gamdpy", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.13.5" }, "widgets": { "application/vnd.jupyter.widget-state+json": { "state": {}, "version_major": 2, "version_minor": 0 } } }, "nbformat": 4, "nbformat_minor": 5 }