{ "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": 122, "id": "fdbe2ed79de5260f", "metadata": { "ExecuteTime": { "end_time": "2025-06-12T09:52:32.455385Z", "start_time": "2025-06-12T09:52:32.050544Z" }, "execution": { "iopub.execute_input": "2025-06-12T09:57:26.356064Z", "iopub.status.busy": "2025-06-12T09:57:26.355842Z", "iopub.status.idle": "2025-06-12T09:57:26.750701Z", "shell.execute_reply": "2025-06-12T09:57:26.750286Z" } }, "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": 123, "id": "4847c36563bf71ed", "metadata": { "ExecuteTime": { "end_time": "2025-05-26T18:49:56.684867Z", "start_time": "2025-05-26T18:49:56.683163Z" }, "execution": { "iopub.execute_input": "2025-06-12T09:57:26.752490Z", "iopub.status.busy": "2025-06-12T09:57:26.752351Z", "iopub.status.idle": "2025-06-12T09:57:26.754376Z", "shell.execute_reply": "2025-06-12T09:57:26.754053Z" } }, "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": 124, "id": "eca912f8cf53045", "metadata": { "ExecuteTime": { "end_time": "2025-05-26T18:49:56.733571Z", "start_time": "2025-05-26T18:49:56.731629Z" }, "execution": { "iopub.execute_input": "2025-06-12T09:57:26.755542Z", "iopub.status.busy": "2025-06-12T09:57:26.755449Z", "iopub.status.idle": "2025-06-12T09:57:26.757116Z", "shell.execute_reply": "2025-06-12T09:57:26.756899Z" } }, "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": 125, "id": "b39d89cc213277c8", "metadata": { "ExecuteTime": { "end_time": "2025-05-26T18:49:56.784510Z", "start_time": "2025-05-26T18:49:56.780245Z" }, "execution": { "iopub.execute_input": "2025-06-12T09:57:26.758364Z", "iopub.status.busy": "2025-06-12T09:57:26.758221Z", "iopub.status.idle": "2025-06-12T09:57:26.761326Z", "shell.execute_reply": "2025-06-12T09:57:26.761117Z" } }, "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": 125, "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": 126, "id": "f2bc351e-3578-4f51-b786-71e845bd07d4", "metadata": { "ExecuteTime": { "end_time": "2025-05-26T18:49:56.877342Z", "start_time": "2025-05-26T18:49:56.871792Z" }, "execution": { "iopub.execute_input": "2025-06-12T09:57:26.762510Z", "iopub.status.busy": "2025-06-12T09:57:26.762373Z", "iopub.status.idle": "2025-06-12T09:57:26.766730Z", "shell.execute_reply": "2025-06-12T09:57:26.766505Z" } }, "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": 127, "id": "c48e7dffc54f7b62", "metadata": { "ExecuteTime": { "end_time": "2025-05-26T18:49:56.942633Z", "start_time": "2025-05-26T18:49:56.940020Z" }, "execution": { "iopub.execute_input": "2025-06-12T09:57:26.767791Z", "iopub.status.busy": "2025-06-12T09:57:26.767656Z", "iopub.status.idle": "2025-06-12T09:57:26.769668Z", "shell.execute_reply": "2025-06-12T09:57:26.769417Z" } }, "outputs": [ { "data": { "text/plain": [ "numpy.ndarray" ] }, "execution_count": 127, "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": 128, "id": "3c1f34c579af36ab", "metadata": { "ExecuteTime": { "end_time": "2025-05-26T18:49:57.133255Z", "start_time": "2025-05-26T18:49:57.012795Z" }, "execution": { "iopub.execute_input": "2025-06-12T09:57:26.770696Z", "iopub.status.busy": "2025-06-12T09:57:26.770577Z", "iopub.status.idle": "2025-06-12T09:57:26.936531Z", "shell.execute_reply": "2025-06-12T09:57:26.936055Z" } }, "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": 129, "id": "16d0f453d82aaa29", "metadata": { "ExecuteTime": { "end_time": "2025-05-26T18:52:49.817035Z", "start_time": "2025-05-26T18:52:49.814132Z" }, "execution": { "iopub.execute_input": "2025-06-12T09:57:26.937809Z", "iopub.status.busy": "2025-06-12T09:57:26.937673Z", "iopub.status.idle": "2025-06-12T09:57:26.940132Z", "shell.execute_reply": "2025-06-12T09:57:26.939922Z" } }, "outputs": [ { "data": { "text/plain": [ "array([12.815602, 12.815602, 12.815602], dtype=float32)" ] }, "execution_count": 129, "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": 130, "id": "813a39221147cfa2", "metadata": { "ExecuteTime": { "end_time": "2025-05-26T18:49:57.283191591Z", "start_time": "2025-05-14T09:11:22.943393Z" }, "execution": { "iopub.execute_input": "2025-06-12T09:57:26.941219Z", "iopub.status.busy": "2025-06-12T09:57:26.941108Z", "iopub.status.idle": "2025-06-12T09:57:26.942666Z", "shell.execute_reply": "2025-06-12T09:57:26.942436Z" } }, "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": 131, "id": "b1b6ea40a14a352a", "metadata": { "ExecuteTime": { "end_time": "2025-05-26T18:49:57.297887189Z", "start_time": "2025-05-14T09:11:22.993299Z" }, "execution": { "iopub.execute_input": "2025-06-12T09:57:26.943632Z", "iopub.status.busy": "2025-06-12T09:57:26.943493Z", "iopub.status.idle": "2025-06-12T09:57:26.945394Z", "shell.execute_reply": "2025-06-12T09:57:26.945195Z" } }, "outputs": [ { "data": { "text/plain": [ "numpy.ndarray" ] }, "execution_count": 131, "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": 132, "id": "cba45546423ba6f6", "metadata": { "ExecuteTime": { "end_time": "2025-05-26T18:49:57.300665786Z", "start_time": "2025-05-14T09:11:23.047241Z" }, "execution": { "iopub.execute_input": "2025-06-12T09:57:26.946367Z", "iopub.status.busy": "2025-06-12T09:57:26.946238Z", "iopub.status.idle": "2025-06-12T09:57:26.948221Z", "shell.execute_reply": "2025-06-12T09:57:26.947999Z" } }, "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": 133, "id": "91f8fbcd8b81050b", "metadata": { "ExecuteTime": { "end_time": "2025-05-26T18:49:57.310908859Z", "start_time": "2025-05-14T09:11:23.105070Z" }, "execution": { "iopub.execute_input": "2025-06-12T09:57:26.949213Z", "iopub.status.busy": "2025-06-12T09:57:26.949078Z", "iopub.status.idle": "2025-06-12T09:57:27.256313Z", "shell.execute_reply": "2025-06-12T09:57:27.255879Z" } }, "outputs": [ { "data": { "image/png": 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", "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": 134, "id": "fe824ac1e21e981", "metadata": { "ExecuteTime": { "end_time": "2025-05-26T18:49:57.311905134Z", "start_time": "2025-05-14T09:11:23.439889Z" }, "execution": { "iopub.execute_input": "2025-06-12T09:57:27.257583Z", "iopub.status.busy": "2025-06-12T09:57:27.257480Z", "iopub.status.idle": "2025-06-12T09:57:27.260602Z", "shell.execute_reply": "2025-06-12T09:57:27.260371Z" } }, "outputs": [ { "data": { "text/plain": [ "(-1.0, -2.1148430366511475e-15, 57.146437870855145)" ] }, "execution_count": 134, "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": 135, "id": "a01cea8854dcfd66", "metadata": { "ExecuteTime": { "end_time": "2025-05-26T18:49:57.312271888Z", "start_time": "2025-05-14T09:11:23.495448Z" }, "execution": { "iopub.execute_input": "2025-06-12T09:57:27.261770Z", "iopub.status.busy": "2025-06-12T09:57:27.261660Z", "iopub.status.idle": "2025-06-12T09:57:27.263414Z", "shell.execute_reply": "2025-06-12T09:57:27.263176Z" } }, "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": 136, "id": "ecd5a40e2dab39f7", "metadata": { "ExecuteTime": { "end_time": "2025-05-26T18:49:57.312533212Z", "start_time": "2025-05-14T09:11:23.548911Z" }, "execution": { "iopub.execute_input": "2025-06-12T09:57:27.264653Z", "iopub.status.busy": "2025-06-12T09:57:27.264477Z", "iopub.status.idle": "2025-06-12T09:57:27.709327Z", "shell.execute_reply": "2025-06-12T09:57:27.708948Z" } }, "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": 137, "id": "7bf0bd18026a4321", "metadata": { "ExecuteTime": { "end_time": "2025-05-26T18:49:57.312908382Z", "start_time": "2025-05-14T09:11:24.116557Z" }, "execution": { "iopub.execute_input": "2025-06-12T09:57:27.710759Z", "iopub.status.busy": "2025-06-12T09:57:27.710617Z", "iopub.status.idle": "2025-06-12T09:57:27.712654Z", "shell.execute_reply": "2025-06-12T09:57:27.712383Z" } }, "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": 138, "id": "eb9766512348e5ff", "metadata": { "ExecuteTime": { "end_time": "2025-05-26T18:49:57.313388230Z", "start_time": "2025-05-14T09:11:24.166222Z" }, "execution": { "iopub.execute_input": "2025-06-12T09:57:27.713861Z", "iopub.status.busy": "2025-06-12T09:57:27.713716Z", "iopub.status.idle": "2025-06-12T09:57:27.715282Z", "shell.execute_reply": "2025-06-12T09:57:27.715053Z" } }, "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": 139, "id": "416ac50cfb432a21", "metadata": { "ExecuteTime": { "end_time": "2025-05-26T18:49:57.313682547Z", "start_time": "2025-05-14T09:11:24.229156Z" }, "execution": { "iopub.execute_input": "2025-06-12T09:57:27.716465Z", "iopub.status.busy": "2025-06-12T09:57:27.716288Z", "iopub.status.idle": "2025-06-12T09:57:27.797451Z", "shell.execute_reply": "2025-06-12T09:57:27.797067Z" } }, "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": 140, "id": "8b77075a994d96f5", "metadata": { "ExecuteTime": { "end_time": "2025-05-26T18:49:57.313935907Z", "start_time": "2025-05-14T09:11:24.467147Z" }, "execution": { "iopub.execute_input": "2025-06-12T09:57:27.798837Z", "iopub.status.busy": "2025-06-12T09:57:27.798658Z", "iopub.status.idle": "2025-06-12T09:57:27.800568Z", "shell.execute_reply": "2025-06-12T09:57:27.800282Z" } }, "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=32` 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": 141, "id": "b32d06aec385921a", "metadata": { "ExecuteTime": { "end_time": "2025-05-26T18:49:57.314153518Z", "start_time": "2025-05-14T09:11:24.529827Z" }, "execution": { "iopub.execute_input": "2025-06-12T09:57:27.801605Z", "iopub.status.busy": "2025-06-12T09:57:27.801460Z", "iopub.status.idle": "2025-06-12T09:57:29.295968Z", "shell.execute_reply": "2025-06-12T09:57:29.295573Z" } }, "outputs": [], "source": [ "# Setup Simulation\n", "sim = gp.Simulation(configuration, interactions, integrator, runtime_actions,\n", " num_timeblocks=32,\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": 142, "id": "7c705329b8979a50", "metadata": { "ExecuteTime": { "end_time": "2025-05-26T18:49:57.314384355Z", "start_time": "2025-05-09T08:29:34.262359Z" }, "execution": { "iopub.execute_input": "2025-06-12T09:57:29.297380Z", "iopub.status.busy": "2025-06-12T09:57:29.297279Z", "iopub.status.idle": "2025-06-12T09:57:30.848367Z", "shell.execute_reply": "2025-06-12T09:57:30.847879Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "timeblock= 0 time= 5.120 U= -6.288 W= 0.698 K= 1.058 \n", "timeblock= 1 time= 10.240 U= -6.278 W= 0.755 K= 1.068 \n", "timeblock= 2 time= 15.360 U= -6.270 W= 0.806 K= 1.026 \n", "timeblock= 3 time= 20.480 U= -6.277 W= 0.767 K= 1.036 \n", "timeblock= 4 time= 25.600 U= -6.292 W= 0.677 K= 1.053 \n", "timeblock= 5 time= 30.720 U= -6.268 W= 0.805 K= 1.075 \n", "timeblock= 6 time= 35.840 U= -6.326 W= 0.497 K= 1.033 \n", "timeblock= 7 time= 40.960 U= -6.286 W= 0.723 K= 1.075 \n", "timeblock= 8 time= 46.080 U= -6.295 W= 0.668 K= 1.035 \n", "timeblock= 9 time= 51.200 U= -6.305 W= 0.617 K= 1.077 \n", "timeblock= 10 time= 56.320 U= -6.268 W= 0.801 K= 1.056 \n", "timeblock= 11 time= 61.440 U= -6.278 W= 0.758 K= 1.039 \n", "timeblock= 12 time= 66.560 U= -6.279 W= 0.748 K= 1.021 \n", "timeblock= 13 time= 71.680 U= -6.313 W= 0.562 K= 1.022 \n", "timeblock= 14 time= 76.800 U= -6.269 W= 0.820 K= 1.046 \n", "timeblock= 15 time= 81.920 U= -6.274 W= 0.791 K= 1.023 \n", "timeblock= 16 time= 87.040 U= -6.287 W= 0.713 K= 1.042 \n", "timeblock= 17 time= 92.160 U= -6.271 W= 0.806 K= 1.055 \n", "timeblock= 18 time= 97.280 U= -6.288 W= 0.709 K= 1.069 \n", "timeblock= 19 time= 102.400 U= -6.274 W= 0.779 K= 1.042 \n", "timeblock= 20 time= 107.520 U= -6.270 W= 0.790 K= 1.036 \n", "timeblock= 21 time= 112.640 U= -6.293 W= 0.680 K= 1.046 \n", "timeblock= 22 time= 117.760 U= -6.278 W= 0.763 K= 1.063 \n", "timeblock= 23 time= 122.880 U= -6.290 W= 0.699 K= 1.054 \n", "timeblock= 24 time= 128.000 U= -6.275 W= 0.787 K= 1.082 \n", "timeblock= 25 time= 133.120 U= -6.282 W= 0.733 K= 1.063 \n", "timeblock= 26 time= 138.240 U= -6.310 W= 0.571 K= 1.050 \n", "timeblock= 27 time= 143.360 U= -6.281 W= 0.742 K= 1.069 \n", "timeblock= 28 time= 148.480 U= -6.275 W= 0.769 K= 1.030 \n", "timeblock= 29 time= 153.600 U= -6.271 W= 0.803 K= 1.041 \n", "timeblock= 30 time= 158.720 U= -6.255 W= 0.875 K= 1.062 \n", "timeblock= 31 time= 163.840 U= -6.284 W= 0.722 K= 1.027 \n", "Particles : 2048 \n", "Steps : 32 * 1024 = 32_768 \n", "Total run time (incl. time spent between timeblocks): 4.19 s ( TPS: 7.83e+03 )\n", "Simulation time (excl. time spent between timeblocks): 1.28 s ( TPS: 2.56e+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": 143, "id": "3db65137c4f731de", "metadata": { "ExecuteTime": { "end_time": "2025-05-26T18:49:57.314623718Z", "start_time": "2025-05-09T08:29:35.770216Z" }, "execution": { "iopub.execute_input": "2025-06-12T09:57:30.852719Z", "iopub.status.busy": "2025-06-12T09:57:30.852613Z", "iopub.status.idle": "2025-06-12T09:57:30.856117Z", "shell.execute_reply": "2025-06-12T09:57:30.855880Z" } }, "outputs": [ { "data": { "text/plain": [ "numpy.ndarray" ] }, "execution_count": 143, "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": 144, "id": "f7c1efeb15c7234f", "metadata": { "ExecuteTime": { "end_time": "2025-05-26T18:49:57.314877959Z", "start_time": "2025-05-09T08:29:35.951375Z" }, "execution": { "iopub.execute_input": "2025-06-12T09:57:30.857294Z", "iopub.status.busy": "2025-06-12T09:57:30.857126Z", "iopub.status.idle": "2025-06-12T09:57:30.859090Z", "shell.execute_reply": "2025-06-12T09:57:30.858873Z" } }, "outputs": [ { "data": { "text/plain": [ "2048" ] }, "execution_count": 144, "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": 145, "id": "2fa6ea65ca92f5f0", "metadata": { "ExecuteTime": { "end_time": "2025-05-26T18:49:57.315118264Z", "start_time": "2025-05-09T08:29:36.055800Z" }, "execution": { "iopub.execute_input": "2025-06-12T09:57:30.860221Z", "iopub.status.busy": "2025-06-12T09:57:30.860086Z", "iopub.status.idle": "2025-06-12T09:57:30.861969Z", "shell.execute_reply": "2025-06-12T09:57:30.861712Z" } }, "outputs": [ { "data": { "text/plain": [ "2048" ] }, "execution_count": 145, "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": 146, "id": "899e99f81dcb7751", "metadata": { "ExecuteTime": { "end_time": "2025-05-26T18:49:57.315370712Z", "start_time": "2025-05-09T08:29:36.114957Z" }, "execution": { "iopub.execute_input": "2025-06-12T09:57:30.863013Z", "iopub.status.busy": "2025-06-12T09:57:30.862891Z", "iopub.status.idle": "2025-06-12T09:57:30.925327Z", "shell.execute_reply": "2025-06-12T09:57:30.924987Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "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": 147, "id": "8fc00eb8a9982271", "metadata": { "ExecuteTime": { "end_time": "2025-05-26T18:49:57.315603783Z", "start_time": "2025-05-09T08:29:36.202148Z" }, "execution": { "iopub.execute_input": "2025-06-12T09:57:30.926467Z", "iopub.status.busy": "2025-06-12T09:57:30.926355Z", "iopub.status.idle": "2025-06-12T09:57:30.998750Z", "shell.execute_reply": "2025-06-12T09:57:30.998411Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "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": 148, "id": "84cdd1e4317e81ca", "metadata": { "ExecuteTime": { "end_time": "2025-05-26T18:49:57.315861630Z", "start_time": "2025-05-09T08:29:36.303617Z" }, "execution": { "iopub.execute_input": "2025-06-12T09:57:31.000008Z", "iopub.status.busy": "2025-06-12T09:57:30.999915Z", "iopub.status.idle": "2025-06-12T09:57:31.002710Z", "shell.execute_reply": "2025-06-12T09:57:31.002316Z" } }, "outputs": [ { "data": { "text/plain": [ "-6.281355" ] }, "execution_count": 148, "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": 149, "id": "efefc91dd982ae25", "metadata": { "ExecuteTime": { "end_time": "2025-05-26T18:49:57.316088991Z", "start_time": "2025-05-09T08:29:36.361215Z" }, "execution": { "iopub.execute_input": "2025-06-12T09:57:31.003819Z", "iopub.status.busy": "2025-06-12T09:57:31.003693Z", "iopub.status.idle": "2025-06-12T09:57:31.006103Z", "shell.execute_reply": "2025-06-12T09:57:31.005896Z" } }, "outputs": [ { "data": { "text/plain": [ "1.4021976" ] }, "execution_count": 149, "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": "3.11.2" }, "widgets": { "application/vnd.jupyter.widget-state+json": { "state": {}, "version_major": 2, "version_minor": 0 } } }, "nbformat": 4, "nbformat_minor": 5 }