Champ d'indétermination — Protocole Ariane (paper pack)

Field of Indetermination — Ariane Protocol (v1.0.0) This repository provides a reproducible Python implementation of a two-dimensional stochastic partial differential equation (SPDE) model combining reaction–diffusion dynamics, non-local spectral interactions, and additive Gaussian noise. The model investigates how correlated noise and moderate non-locality may contribute to the stabilization of coherent spatial structures in nonlinear systems. It is designed as a research-oriented toy model for studying self-organization, stochastic stabilization, and noise-induced coherence phenomena. Core components include: FFT-based Laplacian diffusion Landau-type cubic double-well potential Gaussian spectral non-local operator Additive space-time white noise (Euler–Maruyama discretization) Automated coherence detection via the Ariane protocol The repository contains simulation scripts, parameter sweep utilities, evaluation pipelines, and figure-generation tools. Aggregated numerical results suggest the existence of a parameter regime in which moderate stochastic forcing (σ ≈ 0.10–0.13) combined with sufficiently negative potential parameter (a ≤ –0.15) promotes repeated emergence of stable coherent structures. The project is released under the MIT License to facilitate independent verification, reproducibility, and further development in the context of stochastic PDEs, reaction–diffusion systems, non-local dynamics, and noise-driven self-organization.