{ "cells": [ { "cell_type": "markdown", "id": "cell00", "metadata": {}, "source": [ "# 02 — Modèle d'Ising : la température sociale et sa valeur critique\n", "\n", "Ce notebook est le **test de validité** du dépôt. L'analogie physique-social n'est\n", "pas falsifiable en tant que telle, mais l'implémentation qui la porte l'est : un\n", "modèle d'Ising 2D correct doit retrouver la température critique exacte calculée par\n", "Onsager en 1944,\n", "\n", "$$\\frac{T_c}{J} = \\frac{2}{\\ln(1 + \\sqrt{2})} \\approx 2{,}269$$\n", "\n", "Si le code y parvient, les résultats sociologiques qui en découlent reposent sur une\n", "mécanique statistique juste. Sinon, tout le reste est sans valeur." ] }, { "cell_type": "code", "execution_count": 1, "id": "cell01", "metadata": { "execution": { "iopub.execute_input": "2026-08-23T13:36:57.182851Z", "iopub.status.busy": "2026-08-23T13:36:57.182640Z", "iopub.status.idle": "2026-08-23T13:36:57.727430Z", "shell.execute_reply": "2026-08-23T13:36:57.726964Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "température critique attendue : 2.2692\n" ] } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "from ide.ising import IsingModel, onsager_critical_temperature\n", "from ide.plotting import PALETTE, save_figure, use_project_style\n", "\n", "use_project_style()\n", "\n", "LATTICE = 24\n", "temperatures = np.round(np.arange(1.6, 3.41, 0.1), 2)\n", "critical = onsager_critical_temperature()\n", "print(f\"température critique attendue : {critical:.4f}\")" ] }, { "cell_type": "markdown", "id": "cell02", "metadata": {}, "source": [ "## Balayage en température\n", "\n", "Pour chaque température sociale, on thermalise la population puis on mesure\n", "l'aimantation $|M|$ — le degré de consensus — et la susceptibilité\n", "\n", "$$\\chi = \\frac{N\\left(\\langle M^2 \\rangle - \\langle |M| \\rangle^2\\right)}{T}$$\n", "\n", "qui mesure la sensibilité de l'opinion collective à une perturbation. Son maximum\n", "localise la transition." ] }, { "cell_type": "code", "execution_count": 2, "id": "cell03", "metadata": { "execution": { "iopub.execute_input": "2026-08-23T13:36:57.728241Z", "iopub.status.busy": "2026-08-23T13:36:57.728149Z", "iopub.status.idle": "2026-08-23T13:36:58.562543Z", "shell.execute_reply": "2026-08-23T13:36:58.562132Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "pic de susceptibilité mesuré : 2.40 (réseau 24x24)\n", "écart à la valeur d'Onsager : +0.13\n" ] } ], "source": [ "measurements = [\n", " IsingModel(\n", " size=LATTICE, temperature=float(temperature), seed=3, initial_state=\"aligned\"\n", " ).sample(sweeps=400, burn_in=400)\n", " for temperature in temperatures\n", "]\n", "\n", "consensus = np.array([m[\"abs_magnetisation\"] for m in measurements])\n", "susceptibility = np.array([m[\"susceptibility\"] for m in measurements])\n", "peak = float(temperatures[int(np.argmax(susceptibility))])\n", "\n", "print(f\"pic de susceptibilité mesuré : {peak:.2f} (réseau {LATTICE}x{LATTICE})\")\n", "print(f\"écart à la valeur d'Onsager : {peak - critical:+.2f}\")" ] }, { "cell_type": "markdown", "id": "cell04", "metadata": {}, "source": [ "### Lecture de l'écart\n", "\n", "Le pic mesuré est décalé **vers le haut** par rapport à 2,269. Ce n'est pas une\n", "erreur d'implémentation : sur un réseau fini, la longueur de corrélation ne peut\n", "pas diverger, et le maximum de susceptibilité ne converge vers la valeur exacte que\n", "dans la limite thermodynamique. C'est la raison pour laquelle la suite de tests\n", "tolère ±0,25 sur ce point plutôt qu'une égalité stricte." ] }, { "cell_type": "code", "execution_count": 3, "id": "cell05", "metadata": { "execution": { "iopub.execute_input": "2026-08-23T13:36:58.563284Z", "iopub.status.busy": "2026-08-23T13:36:58.563217Z", "iopub.status.idle": "2026-08-23T13:36:58.781837Z", "shell.execute_reply": "2026-08-23T13:36:58.781419Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "figure, (left, right) = plt.subplots(1, 2, figsize=(10, 3.8), sharex=True)\n", "\n", "for axes in (left, right):\n", " axes.axvline(critical, color=PALETTE[\"neutral\"], linestyle=\"--\", linewidth=1.2)\n", " axes.set_xlabel(\"température sociale $T / J$\")\n", "\n", "left.plot(temperatures, consensus, \"o-\", color=PALETTE[\"order\"], markersize=3.5)\n", "left.set_ylabel(r\"consensus $\\langle |M| \\rangle$\")\n", "left.set_title(\"Le consensus s'effondre à la traversée de $T_c$\")\n", "left.text(critical + 0.05, 0.9, r\"$T_c$ (Onsager)\", color=PALETTE[\"neutral\"], fontsize=9)\n", "\n", "right.plot(temperatures, susceptibility, \"o-\", color=PALETTE[\"disorder\"], markersize=3.5)\n", "right.axvline(peak, color=PALETTE[\"disorder\"], linestyle=\":\", linewidth=1.2)\n", "right.set_ylabel(r\"susceptibilité $\\chi$\")\n", "right.set_title(f\"Pic de susceptibilité mesuré à $T = {peak:.2f}$\")\n", "\n", "save_figure(figure, \"fig02_transition.png\")\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "cell06", "metadata": {}, "source": [ "## Ce que le notebook établit\n", "\n", "1. Le modèle reproduit la transition de phase d'Onsager, aux effets de taille finie\n", " près : la mécanique statistique du dépôt est correcte.\n", "2. La **température sociale** est un paramètre de contrôle réel, pas une métaphore :\n", " sous $T_c$ la population gèle dans un consensus, au-dessus elle fluctue sans\n", " jamais s'accorder.\n", "3. Le passage n'est pas graduel mais **critique**. Une société peut donc basculer\n", " d'un régime à l'autre sur une variation modeste d'agitation — ce qui est\n", " précisément l'inquiétude que le mémorandum cherche à instrumenter." ] } ], "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": "3.12.14" } }, "nbformat": 4, "nbformat_minor": 5 }