Coarsening with non-trivial in-domain dynamics: correlations and interface fluctuations

TL;DR

This paper uses numerical simulations to study how internal spiral dynamics within coarsening domains influence the overall growth, interface fluctuations, and aging properties in a six-species population model with non-trivial internal activity.

Contribution

It reveals how internal spiral dynamics affect coarsening behavior and interface properties, providing new insights into systems with complex internal domain activity.

Findings

Non-trivial internal dynamics alter domain growth exponents.

Interface fluctuations are governed by different exponents than curvature-driven systems.

Internal spiral activity impacts aging and coarsening processes.

Abstract

Using numerical simulations we investigate the space-time properties of a system in which spirals emerge within coarsening domains, thus giving rise to non-trivial internal dynamics. Initially proposed in the context of population dynamics, the studied six-species model exhibits growing domains composed of three species in a rock-paper-scissors relationship. Through the investigation of different quantities, such as space-time correlations and the derived characteristic length, autocorrelation, density of empty sites, and interface width, we demonstrate that the non-trivial dynamics inside the domains affects the coarsening process as well as the properties of the interfaces separating different domains. Domain growth, aging, and interface fluctuations are shown to be governed by exponents whose values differ from those expected in systems with curvature driven coarsening.