Grain boundary dynamics in stripe phases of non potential systems
arXiv:cond-mat/0612264 · doi:10.1103/PhysRevE.75.056202
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.
8 pages, 8 figures
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- Coarsening in potential and nonpotential models of oblique stripe patterns
- Exact solutions and excitations for the Davey-Stewartson equations with nonlinear and gain terms
- Exploring Spiral Defect Chaos in Generalized Swift-Hohenberg Models with Mean Flow
- Spiral defect chaos in Rayleigh-Bénard convection: Asymptotic and numerical studies of azimuthal flows induced by rotating spirals