Noise-Driven Mechanism for Pattern Formation

TL;DR

This paper introduces a novel noise-driven mechanism for pattern formation that differs from traditional short-time instability models, supported by mean field analysis and simulations.

Contribution

It extends existing noise-induced phase transition models to explain pattern formation through a new mechanism not reliant on short-time instabilities.

Findings

The mechanism is distinct from known noise-induced pattern formation processes.

Mean field approximation and simulations validate the proposed mechanism.

Abstract

We extend the mechanism for noise-induced phase transitions proposed by Ibanes et al. [Phys. Rev. Lett. 87, 020601-1 (2001)] to pattern formation phenomena. In contrast with known mechanisms for pure noise-induced pattern formation, this mechanism is not driven by a short-time instability amplified by collective effects. The phenomenon is analyzed by means of a modulated mean field approximation and numerical simulations.