{ "cells": [ { "cell_type": "markdown", "id": "cell00", "metadata": {}, "source": [ "# 04 — Fokker-Planck : le paysage de l'opinion publique\n", "\n", "On passe des individus à la **densité de probabilité** $P(x, t)$ de l'opinion\n", "macroscopique :\n", "\n", "$$\\frac{\\partial P}{\\partial t}\n", " = -\\frac{\\partial}{\\partial x}\\big[A(x) P\\big]\n", " + \\frac{\\partial^2}{\\partial x^2}\\big[B(x) P\\big]$$\n", "\n", "Ce notebook porte les deux corrections les plus importantes de l'audit\n", "(points 1 et 3), et il vaut la peine de les énoncer avant de calculer.\n", "\n", "**La dérive du fil, $A(x) = Jx + H$, ne peut pas produire de transition de phase.**\n", "Elle dérive du potentiel $V(x) = -\\frac{J}{2}x^2 - Hx$, dont l'exponentielle est\n", "convexe : la distribution serait maximale aux extrêmes *à toute température*. Le\n", "terme manquant est l'**entropie de mélange**, c'est-à-dire le nombre de\n", "configurations individuelles compatibles avec une opinion moyenne $x$. En l'ajoutant\n", "on retrouve exactement l'énergie libre $F = E - TS$ que le fil invoquait :\n", "\n", "$$f(x) = -\\frac{J}{2}x^2 - Hx + T\\left[\\frac{1+x}{2}\\ln\\frac{1+x}{2} + \\frac{1-x}{2}\\ln\\frac{1-x}{2}\\right]$$\n", "\n", "d'où $A(x) = -f'(x) = Jx + H - T\\,\\mathrm{artanh}(x)$, et une température critique de\n", "champ moyen $T_c = J$." ] }, { "cell_type": "code", "execution_count": 1, "id": "cell01", "metadata": { "execution": { "iopub.execute_input": "2026-08-23T13:37:02.554723Z", "iopub.status.busy": "2026-08-23T13:37:02.554512Z", "iopub.status.idle": "2026-08-23T13:37:03.104900Z", "shell.execute_reply": "2026-08-23T13:37:03.104428Z" } }, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "from ide.fokker_planck import (\n", " FokkerPlanckSolver,\n", " diffusion_term,\n", " mean_field_free_energy,\n", " stationary_distribution,\n", ")\n", "from ide.plotting import PALETTE, save_figure, use_project_style\n", "\n", "use_project_style()\n", "\n", "grid = np.linspace(-0.98, 0.98, 601)\n", "POPULATION = 400" ] }, { "cell_type": "markdown", "id": "cell02", "metadata": {}, "source": [ "## Le paysage d'énergie libre décide de tout\n", "\n", "Trois régimes, lisibles directement sur la forme de $f(x)$ :\n", "\n", "| Régime | Paysage | Société |\n", "|---|---|---|\n", "| $T > T_c$ | un seul puits, centré | débat fluide, modération majoritaire |\n", "| $T < T_c$, $H = 0$ | deux puits symétriques | polarisation en deux blocs égaux |\n", "| $T < T_c$, $H > 0$ | deux puits inclinés | faux consensus imposé par le champ |" ] }, { "cell_type": "code", "execution_count": 2, "id": "cell03", "metadata": { "execution": { "iopub.execute_input": "2026-08-23T13:37:03.105809Z", "iopub.status.busy": "2026-08-23T13:37:03.105708Z", "iopub.status.idle": "2026-08-23T13:37:03.108379Z", "shell.execute_reply": "2026-08-23T13:37:03.108019Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "fluide ($T=2.0$, $H=0$) opinion moyenne = -0.000 densité de modérés = 5.66e+00\n", "polarisée ($T=0.7$, $H=0$) opinion moyenne = -0.000 densité de modérés = 1.35e-15\n", "manipulée ($T=0.7$, $H=0.1$) opinion moyenne = +0.883 densité de modérés = 1.57e-36\n" ] } ], "source": [ "scenarios = {\n", " \"fluide ($T=2.0$, $H=0$)\": dict(temperature=2.0, field=0.0, colour=PALETTE[\"remedy\"]),\n", " \"polarisée ($T=0.7$, $H=0$)\": dict(temperature=0.7, field=0.0, colour=PALETTE[\"order\"]),\n", " \"manipulée ($T=0.7$, $H=0.1$)\": dict(temperature=0.7, field=0.1, colour=PALETTE[\"field\"]),\n", "}\n", "\n", "for label, setup in scenarios.items():\n", " density = stationary_distribution(\n", " grid, field=setup[\"field\"], temperature=setup[\"temperature\"], population=POPULATION\n", " )\n", " mean_opinion = float(np.trapezoid(grid * density, grid))\n", " moderate = float(density[len(grid) // 2])\n", " print(f\"{label:30s} opinion moyenne = {mean_opinion:+.3f} densité de modérés = {moderate:.2e}\")" ] }, { "cell_type": "markdown", "id": "cell04", "metadata": {}, "source": [ "## La diffusion en $1/N$ : ce qu'une grande population fait réellement\n", "\n", "Le terme de diffusion retenu est $B(x) = T(1-x^2)/N$. Il dit quelque chose de\n", "**contraire au récit initial** : plus la population est grande, plus le bruit de sa\n", "variable macroscopique est faible. C'est la loi des grands nombres.\n", "\n", "Il n'y a pas de contradiction, mais deux échelles qu'il faut cesser de confondre :\n", "\n", "* l'entropie de configuration **totale** est extensive et croît avec $N$ ;\n", "* les fluctuations de la **moyenne** $x$ décroissent en $1/N$.\n", "\n", "La thèse défendable est donc : *une grande population ne devient pas bruyante, elle\n", "devient rigide.* Et c'est cette rigidité qui rend la polarisation irréversible — un\n", "système sans plasticité stochastique ne peut plus quitter le puits où il est tombé." ] }, { "cell_type": "code", "execution_count": 3, "id": "cell05", "metadata": { "execution": { "iopub.execute_input": "2026-08-23T13:37:03.109043Z", "iopub.status.busy": "2026-08-23T13:37:03.108984Z", "iopub.status.idle": "2026-08-23T13:37:03.111478Z", "shell.execute_reply": "2026-08-23T13:37:03.111110Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "N = 50 : B(0) = 2.00e-02 densité de modérés = 1.96e-02\n", "N = 400 : B(0) = 2.50e-03 densité de modérés = 1.35e-15\n", "N = 5000 : B(0) = 2.00e-04 densité de modérés = 2.53e-194\n" ] } ], "source": [ "for population in (50, 400, 5_000):\n", " print(\n", " f\"N = {population:6d} : B(0) = {float(diffusion_term(0.0, population=population)):.2e}\"\n", " f\" densité de modérés = {stationary_distribution(grid, temperature=0.7, population=population)[len(grid) // 2]:.2e}\"\n", " )" ] }, { "cell_type": "markdown", "id": "cell06", "metadata": {}, "source": [ "## Évolution temporelle : la scission en direct\n", "\n", "On part d'une société modérée — une gaussienne centrée sur $x = 0$ — et on laisse\n", "l'équation agir. Sous $T_c$, la distribution se creuse au centre et se scinde. Le\n", "solveur est en volumes finis à flux nul aux bords : la masse de probabilité est\n", "conservée **exactement**, ce qui permet de distinguer un vrai effondrement de la\n", "modération d'une fuite numérique." ] }, { "cell_type": "code", "execution_count": 4, "id": "cell07", "metadata": { "execution": { "iopub.execute_input": "2026-08-23T13:37:03.112168Z", "iopub.status.busy": "2026-08-23T13:37:03.112095Z", "iopub.status.idle": "2026-08-23T13:37:03.573717Z", "shell.execute_reply": "2026-08-23T13:37:03.573224Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "dérive de masse sur toute l'intégration : 3.77e-15\n", "modes finaux : [-0.832 0.832]\n" ] } ], "source": [ "solver = FokkerPlanckSolver(points=601, temperature=0.7, population=POPULATION)\n", "solution = solver.solve(total_time=80.0, snapshots=5)\n", "\n", "print(f\"dérive de masse sur toute l'intégration : {solution.mass_drift:.2e}\")\n", "print(f\"modes finaux : {np.round(solution.modes, 3)}\")" ] }, { "cell_type": "code", "execution_count": 5, "id": "cell08", "metadata": { "execution": { "iopub.execute_input": "2026-08-23T13:37:03.574453Z", "iopub.status.busy": "2026-08-23T13:37:03.574387Z", "iopub.status.idle": "2026-08-23T13:37:03.967332Z", "shell.execute_reply": "2026-08-23T13:37:03.966796Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "<>:11: SyntaxWarning: invalid escape sequence '\\m'\n", "<>:11: SyntaxWarning: invalid escape sequence '\\m'\n", "/tmp/ipykernel_130/2627606867.py:11: SyntaxWarning: invalid escape sequence '\\m'\n", " landscape.set_ylabel(\"énergie libre $f(x) - f_{\\min}$\")\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "figure, axes = plt.subplots(1, 3, figsize=(13, 3.8))\n", "landscape, stationary, evolution = axes\n", "\n", "for label, setup in scenarios.items():\n", " energies = mean_field_free_energy(\n", " grid, field=setup[\"field\"], temperature=setup[\"temperature\"]\n", " )\n", " landscape.plot(grid, energies - energies.min(), color=setup[\"colour\"], label=label)\n", "\n", "landscape.set_xlabel(\"opinion collective $x$\")\n", "landscape.set_ylabel(\"énergie libre $f(x) - f_{\\min}$\")\n", "landscape.set_title(\"Le paysage : $F = E - TS$\")\n", "landscape.legend(fontsize=8)\n", "\n", "for label, setup in scenarios.items():\n", " density = stationary_distribution(\n", " grid, field=setup[\"field\"], temperature=setup[\"temperature\"], population=POPULATION\n", " )\n", " stationary.plot(grid, density, color=setup[\"colour\"], label=label)\n", "\n", "stationary.set_xlabel(\"opinion collective $x$\")\n", "stationary.set_ylabel(\"densité stationnaire $P(x)$\")\n", "stationary.set_title(\"Les trois régimes de l'opinion publique\")\n", "stationary.legend(fontsize=8)\n", "\n", "shades = np.linspace(0.25, 1.0, len(solution.times))\n", "for snapshot, time, shade in zip(solution.history, solution.times, shades):\n", " evolution.plot(solver.grid, snapshot, color=PALETTE[\"order\"], alpha=shade,\n", " label=f\"$t = {time:.0f}$\")\n", "\n", "evolution.set_xlabel(\"opinion collective $x$\")\n", "evolution.set_ylabel(\"densité $P(x, t)$\")\n", "evolution.set_title(\"Scission d'une société initialement modérée\")\n", "evolution.legend(fontsize=8)\n", "\n", "save_figure(figure, \"fig04_paysage.png\")\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "cell09", "metadata": {}, "source": [ "## Ce que le notebook établit\n", "\n", "1. Avec l'entropie de mélange rétablie, le modèle possède une **vraie transition de\n", " phase** à $T_c = J$ — ce que la formulation initiale ne pouvait pas produire.\n", "2. Les trois scénarios de la note (fluide, polarisé, manipulé) apparaissent comme\n", " trois formes du même paysage d'énergie libre, obtenues en changeant deux\n", " paramètres. Le « faux consensus » n'est pas une hypothèse ad hoc : c'est le puits\n", " incliné.\n", "3. La densité de modérés s'effondre exponentiellement avec $N$ : dans une grande\n", " population sous $T_c$, la modération n'est pas minoritaire, elle est\n", " **statistiquement inaccessible**.\n", "4. La masse de probabilité est conservée à la précision machine : les conclusions ne\n", " sont pas un artefact du schéma numérique." ] } ], "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 }