{ "cells": [ { "cell_type": "markdown", "id": "d9a43481", "metadata": {}, "source": [ "# SchNet-driven NVE dynamics: energy conservation by construction\n", "\n", "
\n", "\n", "Note: Run schnet_rmd17_train.ipynb first as it\n", "writes the runs/schnet_rmd17/best.pt checkpoint (saved by the\n", "trainer's ModelCheckpoint callback) consumed by this notebook.\n", "
\n", "\n", "One of the central design claims of the [SchNet\n", "manuscript](https://arxiv.org/pdf/1706.08566) is that predicting the energy and\n", "differentiating it yields a **curl-free, energy-conserving force field**.\n", "Combined with the infinitely differentiable shifted-softplus, this is one of the\n", "key reasons making SchNet usable for molecular dynamics.\n", "\n", "This notebook tests this claim: it loads the SchNet trained on rMD17 ethanol by\n", "`schnet_rmd17_train.ipynb`, drives ASE **NVE**\n", "(velocity-Verlet) dynamics with it through `XNNCalculator`, and checks whether\n", "total energy is conserved while kinetic and potential energy exchange freely." ] }, { "cell_type": "markdown", "id": "dfd2df8a", "metadata": {}, "source": [ "## 0. Load the trained SchNet and wrap it as an ASE calculator" ] }, { "cell_type": "code", "execution_count": 1, "id": "b4672b8c", "metadata": { "execution": { "iopub.execute_input": "2026-10-13T00:04:37.170898Z", "iopub.status.busy": "2026-10-13T00:04:37.170814Z", "iopub.status.idle": "2026-10-13T00:04:46.509400Z", "shell.execute_reply": "2026-10-13T00:04:46.508521Z" } }, "outputs": [], "source": [ "import time\n", "import warnings\n", "warnings.filterwarnings(\"ignore\")\n", "import numpy as np\n", "import torch\n", "import matplotlib.pyplot as plt\n", "\n", "torch.manual_seed(0)\n", "np.random.seed(0)\n", "\n", "import xnn\n", "from xnn.common.data import load_dataset\n", "from xnn.common.deploy import XNNCalculator\n", "from xnn.common.models.hub import load_pretrained\n", "\n", "from ase import Atoms, units\n", "from ase.md.velocitydistribution import (MaxwellBoltzmannDistribution,\n", " Stationary, ZeroRotation)\n", "from ase.md.verlet import VelocityVerlet" ] }, { "cell_type": "code", "execution_count": 2, "id": "58b82498", "metadata": { "execution": { "iopub.execute_input": "2026-10-13T00:04:46.511547Z", "iopub.status.busy": "2026-10-13T00:04:46.511320Z", "iopub.status.idle": "2026-10-13T00:04:46.526685Z", "shell.execute_reply": "2026-10-13T00:04:46.526037Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "xnn 0.13.0 | loaded runs/schnet_rmd17/best.pt (F=64, T=3, cutoff=10.0 A, torch.float64) on cpu\n" ] } ], "source": [ "# Set the device\n", "DEVICE = \"cuda\" if torch.cuda.is_available() else \"cpu\"\n", "\n", "# Load the best checkpoint of the training run: the model is rebuilt from the\n", "# config stored with the weights and served in their dtype (float64)\n", "CKPT = \"runs/schnet_rmd17/best.pt\"\n", "loaded = load_pretrained(CKPT, device=DEVICE)\n", "\n", "# Create the ASE calculator\n", "calc = XNNCalculator(loaded.model, cutoff=loaded.cutoff, device=DEVICE)\n", "\n", "# Print the model information\n", "cfg = loaded.config.model\n", "print(f\"xnn {xnn.__version__} | loaded {CKPT} \"\n", " f\"(F={cfg.n_features}, T={cfg.n_interactions}, \"\n", " f\"cutoff={loaded.cutoff} A, {calc.dtype}) on {DEVICE}\")" ] }, { "cell_type": "markdown", "id": "1b06c60b", "metadata": {}, "source": [ "## 1. NVE molecular dynamics of ethanol\n", "\n", "We start from a held-out rMD17 conformation, draw 300 K Maxwell–Boltzmann\n", "velocities, and integrate with velocity Verlet at a 0.5 fs time step (the\n", "resolution of the reference trajectories in the [SchNet\n", " manuscript](https://arxiv.org/pdf/1706.08566)) for 2 ps. \n", " \n", "We do not use a thermostat so that in the NVE ensemble, any error in the forces\n", "shows up directly as drift or noise in the total energy." ] }, { "cell_type": "code", "execution_count": 3, "id": "11b0f580", "metadata": { "execution": { "iopub.execute_input": "2026-10-13T00:04:46.527856Z", "iopub.status.busy": "2026-10-13T00:04:46.527747Z", "iopub.status.idle": "2026-10-13T00:04:57.658401Z", "shell.execute_reply": "2026-10-13T00:04:57.657524Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "4000 NVE steps (2.0 ps) in 11s\n" ] } ], "source": [ "# Load the ethanol dataset\n", "s = load_dataset(\"rmd17\", molecule=\"ethanol\", split=\"test\", n_test=1,\n", " quiet=True)[0]\n", "\n", "# Initialize the ASE Atoms object\n", "atoms = Atoms(numbers=s[\"atomic_numbers\"], positions=s[\"pos\"])\n", "\n", "# Attach the calculator to the atoms\n", "atoms.calc = calc\n", "\n", "# Set the initial velocities\n", "MaxwellBoltzmannDistribution(atoms, temperature_K=300)\n", "\n", "# Remove the center of mass motion and rotation\n", "Stationary(atoms)\n", "ZeroRotation(atoms)\n", "\n", "# 2 ps\n", "DT_FS, N_STEPS = 0.5, 4000\n", "\n", "# Initialize the molecular dynamics\n", "dyn = VelocityVerlet(atoms, timestep=DT_FS * units.fs)\n", "\n", "# Record the trajectory\n", "t_ps, e_pot, e_kin, temp = [], [], [], []\n", "def record(a=atoms):\n", " t_ps.append(dyn.nsteps * DT_FS / 1000.0)\n", " e_pot.append(a.get_potential_energy())\n", " e_kin.append(a.get_kinetic_energy())\n", " temp.append(a.get_temperature())\n", "\n", "# Attach the recording function to the molecular dynamics\n", "dyn.attach(record, interval=4)\n", "\n", "# Run the molecular dynamics\n", "t0 = time.time()\n", "record() \n", "dyn.run(N_STEPS)\n", "\n", "# Print the results\n", "print(f\"{N_STEPS} NVE steps ({N_STEPS*DT_FS/1000:.1f} ps) \"\n", " f\"in {time.time()-t0:.0f}s\")\n", "\n", "# Calculate the total energy\n", "e_pot, e_kin = np.array(e_pot), np.array(e_kin)\n", "e_tot = e_pot + e_kin" ] }, { "cell_type": "markdown", "id": "9204806e", "metadata": {}, "source": [ "## 2. Total-energy conservation" ] }, { "cell_type": "code", "execution_count": 4, "id": "aac9a276", "metadata": { "execution": { "iopub.execute_input": "2026-10-13T00:04:57.660039Z", "iopub.status.busy": "2026-10-13T00:04:57.659843Z", "iopub.status.idle": "2026-10-13T00:04:58.242606Z", "shell.execute_reply": "2026-10-13T00:04:58.242115Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "potential-energy fluctuation : 86.15 meV\n", "total-energy fluctuation : 0.947 meV\n", "total-energy drift : -0.122 meV/ps\n", "conservation ratio std(E_tot)/std(E_pot) = 0.0110\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Fit a line to the dynamics data to determine the energy drift (in meV/ps)\n", "drift = np.polyfit(t_ps, (e_tot - e_tot[0]) * 1e3, 1)[0]\n", "\n", "# Print the results\n", "print(f\"potential-energy fluctuation : {e_pot.std()*1e3:8.2f} meV\")\n", "print(f\"total-energy fluctuation : {e_tot.std()*1e3:8.3f} meV\")\n", "print(f\"total-energy drift : {drift:8.3f} meV/ps\")\n", "print(f\"conservation ratio std(E_tot)/std(E_pot) = \"\n", " f\"{e_tot.std()/e_pot.std():.4f}\")\n", "\n", "# Plot the NVE dynamics data\n", "fig, (a1, a2) = plt.subplots(2, 1, figsize=(6.5, 5), sharex=True,\n", " height_ratios=[2, 1])\n", "a1.plot(t_ps, (e_pot - e_pot[0]) * 1e3, label=r\"$E_\\mathrm{pot}$\", lw=0.9)\n", "a1.plot(t_ps, (e_kin - e_kin[0]) * 1e3, label=r\"$E_\\mathrm{kin}$\", lw=0.9)\n", "a1.plot(t_ps, (e_tot - e_tot[0]) * 1e3, \"k\", label=r\"$E_\\mathrm{tot}$\", lw=1.2)\n", "a1.set_ylabel(\"energy - initial (meV)\")\n", "a1.set_title(\"SchNet NVE dynamics of ethanol (0.5 fs, no thermostat)\")\n", "a1.legend(ncols=3, fontsize=9)\n", "a2.plot(t_ps, temp, lw=0.9, color=\"tab:red\")\n", "a2.set_xlabel(\"time (ps)\")\n", "a2.set_ylabel(\"T (K)\")\n", "fig.tight_layout()\n", "fig.savefig(\"schnet_nve_energy.png\", dpi=110)\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "1396cfb8", "metadata": {}, "source": [ "## Summary\n", "\n", "Kinetic and potential energy exchange on the 100 meV scale while the total\n", "energy fluctuates by under a meV (about 1% of the potential-energy\n", "fluctuation) with no systematic drift over 2 ps of thermostat-free dynamics.\n", "Thus, the resulting atomic forces of SchNet, computed by the autograd are\n", "conservative to integration accuracy as guaranteed by construction." ] }, { "cell_type": "markdown", "id": "84e87545", "metadata": {}, "source": [ "## References\n", "\n", "- [Schütt et al., *SchNet: A continuous-filter convolutional neural network for modeling quantum interactions* arXiv.1706.08566 (2017)](https://arxiv.org/pdf/1706.08566)\n", "- [Schütt et al., *SchNet: A deep learning architecture for molecules and materials*, J. Chem. Phys. 148, 241722 (2018)](https://doi.org/10.1063/1.5019779)" ] } ], "metadata": { "kernelspec": { "display_name": "xnns (3.13.12)", "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": "3.12.3" } }, "nbformat": 4, "nbformat_minor": 5 }