Spatial Patterns Induced Purely by Dichotomous Disorder

TL;DR

This paper investigates how quenched dichotomous disorder alone can induce spatial patterns in extended systems, combining theoretical analysis and numerical simulations.

Contribution

It provides a theoretical framework and numerical evidence showing disorder-induced pattern formation without intrinsic system instabilities.

Findings

Disorder can generate spatial patterns in coupled systems.

Theoretical predictions align with numerical simulations.

Pattern formation occurs solely due to dichotomous disorder.

Abstract

We study conditions under which spatially extended systems with coupling a la Swift-Hohenberg exhibit spatial patterns induced purely by the presence of quenched dichotomous disorder. Complementing the theoretical results based on a generalized mean-field approximation, we also present numerical simulations of particular dynamical systems that exhibit the proposed phenomenology.