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| Format: | Recurso digital |
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Zenodo
2025
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| Online Access: | https://doi.org/10.5281/zenodo.17978247 |
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Table of Contents:
- <p>This repository contains the Python simulation scripts used to generate all<br>numerical results and figures in the manuscript:</p> <p> Christian Ader,<br> “Emergent Metastable Structure in a Nonlinear Diffusion–Reaction–Decay<br> Scalar Field”, submitted to <span lang="EN-US">Communications in Nonlinear Science and Numerical Simulation</span>.</p> <p>The scripts implement and explore the nonlinear scalar-field equation</p> <p> ∂_t Q = D ∇² Q + η Q^α – ξ Q,</p> <p>on two- and three-dimensional periodic domains, using explicit finite-difference<br>time stepping. The repository includes:</p> <p>• 2D solver for the full PDE (Q-field evolution, statistics, and power spectra) <br>• 2D Q-field + tracer dynamics with Φ obtained from ∇²Φ = Q <br>• 2D static-source comparison solver using ∇²Φ = ρ <br>• 3D extension of the nonlinear Q-field solver </p> <p>All simulations use dimensionless (“a.u.”) time and space units. <br>No physical scales are assumed or implied. The scripts reproduce exactly the<br>numerical experiments presented in the associated manuscript.</p> <p>All code is self-contained and requires only NumPy, SciPy, and Matplotlib.</p> <p>This dataset is provided to ensure transparency, reproducibility, and ease of<br>reuse in nonlinear dynamics and PDE modelling research.</p>