{ "cells": [ { "cell_type": "markdown", "id": "6411c939", "metadata": {}, "source": [ "# Structure of packings\n", "\n", "The growth rate decides the structure of a packing. This notebook makes two packings of 4000 equal spheres, one by fast compression (random close packing) and one by slow compression, and compares them with the tools in `spheropack.analysis`: the pair distribution function, bond-orientational order, crystallinity, contact numbers, and density profiles next to walls." ] }, { "cell_type": "markdown", "id": "a9fa793a", "metadata": { "spheropack-header": true }, "source": [ "[![Open in Colab](https://colab.research.google.com/assets/colab-badge.svg)](https://colab.research.google.com/github/computational-chemical-engineering/spheropack/blob/main/docs/notebooks/03_structure_analysis.ipynb) [![Download notebook](https://img.shields.io/badge/download-notebook-orange?logo=jupyter)](https://computational-chemical-engineering.github.io/spheropack/notebooks/03_structure_analysis.ipynb)" ] }, { "cell_type": "code", "execution_count": null, "id": "5cd5ae74", "metadata": { "spheropack-header": true }, "outputs": [], "source": [ "# Install spheropack when it is not available (for example on Google Colab).\n", "import importlib.util\n", "\n", "if importlib.util.find_spec(\"spheropack\") is None:\n", " %pip install -q spheropack" ] }, { "cell_type": "code", "execution_count": 1, "id": "bb2db500", "metadata": { "execution": { "iopub.execute_input": "2026-10-01T14:13:50.934289Z", "iopub.status.busy": "2026-10-01T14:13:50.934040Z", "iopub.status.idle": "2026-10-01T14:31:18.706616Z", "shell.execute_reply": "2026-10-01T14:31:18.704978Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "fast: density 0.6412, 4296 collisions per sphere, 67 s\n", "slow: density 0.6520, 68154 collisions per sphere, 981 s\n" ] } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import spheropack as sp\n", "from spheropack import analysis\n", "from spheropack.plotting import plot_section\n", "\n", "fast = sp.pack(n=4000, density=\"max\", growth_rate=0.02, seed=1)\n", "slow = sp.pack(n=4000, density=\"max\", growth_rate=0.0005, seed=1)\n", "for name, p in [(\"fast\", fast), (\"slow\", slow)]:\n", " print(f\"{name}: density {p.density:.4f}, {p.n_collisions / p.n:.0f} collisions per sphere, {p.wall_time:.0f} s\")" ] }, { "cell_type": "markdown", "id": "3d17592b", "metadata": {}, "source": [ "## Pair distribution function\n", "\n", "$g(r)$ is the density of sphere centres at distance $r$ from a sphere, relative to the mean density. In a jammed random packing it has a delta-like peak at contact ($r = d$), a split second peak at $r = \\sqrt{3}\\,d$ and $r = 2d$ (two spheres in contact with a common neighbour, in a plane or in a line), and decaying oscillations. A crystal shows sharp peaks at the lattice distances ($\\sqrt 2\\, d$, $\\sqrt 3\\, d$, $2d$ for FCC)." ] }, { "cell_type": "code", "execution_count": 2, "id": "8a07e1a5", "metadata": { "execution": { "iopub.execute_input": "2026-10-01T14:31:18.711021Z", "iopub.status.busy": "2026-10-01T14:31:18.710268Z", "iopub.status.idle": "2026-10-01T14:31:18.972366Z", "shell.execute_reply": "2026-10-01T14:31:18.971684Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(9, 4))\n", "for name, p in [(\"fast\", fast), (\"slow\", slow)]:\n", " d = p.diameters.mean()\n", " rdf = analysis.radial_distribution(p, r_max=3.5 * d, bins=700)\n", " ax.plot(rdf.r / d, rdf.g, label=f\"{name}, phi = {p.density:.3f}\", lw=1)\n", "for x in (np.sqrt(2), np.sqrt(3), 2):\n", " ax.axvline(x, color=\"k\", lw=0.5, ls=\":\")\n", "ax.set_xlim(0.8, 3.5); ax.set_ylim(0, 8)\n", "ax.set_xlabel(\"r / d\"); ax.set_ylabel(\"g(r)\"); ax.legend();" ] }, { "cell_type": "markdown", "id": "9de4e815", "metadata": {}, "source": [ "## Bond-orientational order and crystallinity\n", "\n", "Steinhardt's $q_6$ measures the local orientational order of the bonds to the neighbours of a sphere: 0.575 for FCC, 0.485 for HCP, around 0.35 to 0.45 in random packings. The ten Wolde-Frenkel criterion (`analysis.crystalline`) marks a sphere as crystalline when at least 7 of its bonds connect it to neighbours with a similar orientation of local order." ] }, { "cell_type": "code", "execution_count": 3, "id": "fb87c87f", "metadata": { "execution": { "iopub.execute_input": "2026-10-01T14:31:18.975281Z", "iopub.status.busy": "2026-10-01T14:31:18.975045Z", "iopub.status.idle": "2026-10-01T14:31:19.367660Z", "shell.execute_reply": "2026-10-01T14:31:19.366756Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(1, 2, figsize=(11, 4))\n", "for name, p in [(\"fast\", fast), (\"slow\", slow)]:\n", " q6 = analysis.bond_order(p, l=6)\n", " cryst = analysis.crystalline(p)\n", " axes[0].hist(q6.local, bins=60, range=(0.2, 0.65), histtype=\"step\", lw=1.5,\n", " label=f\"{name}: Q6 = {q6.global_value:.3f}, crystalline {100 * cryst.mean():.0f}%\")\n", "for x, lab in ((0.575, \"FCC\"), (0.485, \"HCP\")):\n", " axes[0].axvline(x, color=\"k\", lw=0.5, ls=\":\"); axes[0].text(x, 5, lab, rotation=90)\n", "axes[0].set_xlabel(\"local $q_6$\"); axes[0].set_ylabel(\"spheres\"); axes[0].legend(fontsize=8)\n", "\n", "cryst = analysis.crystalline(slow)\n", "plot_section(slow, axis=2, ax=axes[1], color=\"lightgray\")\n", "p_c = sp.Packing(**{**slow.__dict__, \"positions\": slow.positions[cryst], \"radii\": slow.radii[cryst]})\n", "plot_section(p_c, axis=2, ax=axes[1], color=\"tab:red\")\n", "axes[1].set_title(\"slow packing, section z = 0.5: crystalline spheres in red\");" ] }, { "cell_type": "markdown", "id": "c3a16397", "metadata": {}, "source": [ "## Contacts\n", "\n", "In a jammed packing every force-bearing sphere touches on average close to $2D = 6$ others (isostatic); rattlers carry no force. The distribution of contact numbers differs between random and crystalline packings: crystals have up to 12 contacts." ] }, { "cell_type": "code", "execution_count": 4, "id": "9f58ded5", "metadata": { "execution": { "iopub.execute_input": "2026-10-01T14:31:19.371000Z", "iopub.status.busy": "2026-10-01T14:31:19.370865Z", "iopub.status.idle": "2026-10-01T14:31:19.514340Z", "shell.execute_reply": "2026-10-01T14:31:19.513419Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(7, 4))\n", "for k, (name, p) in enumerate([(\"fast\", fast), (\"slow\", slow)]):\n", " rat = analysis.rattlers(p)\n", " z = analysis.contact_numbers(p, tol=1e-6)[~rat]\n", " counts = np.bincount(z, minlength=13)\n", " ax.bar(np.arange(13) + 0.4 * k - 0.2, counts / counts.sum(), width=0.4,\n", " label=f\"{name}: = {z.mean():.2f}, rattlers {100 * rat.mean():.1f}%\")\n", "ax.set_xlabel(\"contacts per force-bearing sphere\"); ax.set_ylabel(\"fraction\"); ax.legend();" ] }, { "cell_type": "markdown", "id": "9f1d8832", "metadata": {}, "source": [ "## Layering next to a wall\n", "\n", "Near a flat wall spheres order in layers. The exact local solid fraction (`analysis.density_profile`, spheres sliced analytically) shows the layers as oscillations that decay over a few diameters. Here a slab between two walls, periodic in the other directions, packed to jamming:" ] }, { "cell_type": "code", "execution_count": 5, "id": "1bbc7e07", "metadata": { "execution": { "iopub.execute_input": "2026-10-01T14:31:19.516246Z", "iopub.status.busy": "2026-10-01T14:31:19.516110Z", "iopub.status.idle": "2026-10-01T14:33:21.268729Z", "shell.execute_reply": "2026-10-01T14:33:21.267780Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "overall density 0.6365\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "slab = sp.Box([1.0, 1.0, 2.0], periodic=[True, True, False])\n", "s = sp.pack(n=8000, density=\"max\", container=slab, seed=2)\n", "z, phi = analysis.density_profile(s, axis=2, bins=800)\n", "d = s.diameters.mean()\n", "fig, ax = plt.subplots(figsize=(9, 3.5))\n", "ax.plot(z / d, phi, lw=1)\n", "ax.axhline(s.density, color=\"k\", lw=0.5, ls=\":\")\n", "ax.set_xlabel(\"distance from the lower wall / d\"); ax.set_ylabel(\"local solid fraction\")\n", "ax.set_xlim(0, 6)\n", "print(f\"overall density {s.density:.4f}\")" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "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" } }, "nbformat": 4, "nbformat_minor": 5 }