Numerical study of domain coarsening in anisotropic stripe patterns

Abstract

We study the coarsening of two-dimensional smectic polycrystals characterized by grains of oblique stripes with only two possible orientations. For this purpose, an anisotropic Swift-Hohenberg equation is solved. For quenches close enough to the onset of stripe formation, the average domain size increases with time as $t^{1/2}$. Further from onset, anisotropic pinning forces similar to Peierls stresses in solid crystals slow down defects, and growth becomes anisotropic. In a wide range of quench depths, dislocation arrays remain mobile and dislocation density roughly decays as $t^{-1/3}$, while chevron boundaries are totally pinned. We discuss some agreements and disagreements found with recent experimental results on the coarsening of anisotropic electroconvection patterns.

8 pages, 11 figures. Phys. Rev E, to appear

References in corpus (5)

• Grain boundary pinning and glassy dynamics in stripe phases
• Ordering kinetics of stripe patterns
• Defect Structures in the Growth Kinetics of the Swift-Hohenberg Model
• Weakly nonlinear theory of grain boundary motion in patterns with crystalline symmetry
• Domain Coarsening in Electroconvection

Cited by in corpus (10)

• Anisotropic velocity statistics of topological defects under shear flow
• Growth of Order in An Anisotropic Swift-Hohenberg Model
• Grain boundary dynamics in stripe phases of non potential systems
• Coarsening in potential and nonpotential models of oblique stripe patterns
• Coarsening of Topological Defects in Oscillating Systems with Quenched Disorder
• Amplitude Modulation and Relaxation-Oscillation of Counterpropagating Rolls within a Broken-Symmetry Laser-Induced Electroconvection Strip
• Impact of noise on domain growth in electroconvection
• Strain and defects in oblique stripe growth
• Activated vortex lattice transition in a superconductor with combined sixfold and twelvefold anisotropic interactions
• Early time evolution of Freedericks patterns generated from states of electroconvection