Grain boundary dynamics in stripe phases of non potential systems

TL;DR

This paper investigates the dynamics of grain boundaries in stripe patterns within nonpotential systems, revealing decay modes, boundary motion, and domain coarsening behaviors through numerical modeling.

Contribution

It introduces numerical analysis of grain boundary behavior in nonpotential models, highlighting decay modes and wavenumber selection mechanisms.

Findings

Identified three regimes of boundary behavior based on system parameters.

Described decay modes including undulations and defect formation.

Linked boundary dynamics to domain coarsening processes.

Abstract

We describe numerical solutions of two non potential models of pattern formation in nonequilibrium systems to address the motion and decay of grain boundaries separating domains of stripe configurations of different orientations. We first address wavenumber selection because of the boundary, and possible decay modes when the periodicity of the stripe phases is different from the selected wavenumber for a stationary boundary. We discuss several decay modes including long wavelength undulations of the moving boundary as well as the formation of localized defects and their subsequent motion. We find three different regimes as a function of the distance to the stripe phase threshold and initial wavenumber, and then correlate these findings with domain morphology during domain coarsening in a large aspect ratio configuration.