PMID: 15244671Jul 13, 2004Paper

Numerical study of domain coarsening in anisotropic stripe patterns

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Denis Boyer

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.

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Citations

May 23, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·C Reichhardt, C J Olson Reichhardt
Oct 10, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Mary Griffith, Michael Dennin
Nov 13, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·J R Gomez-Solano, D Boyer
Mar 10, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Luiza AnghelutaNigel Goldenfeld
Apr 12, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Hai Qian, Gene F Mazenko
Apr 12, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Daniel R SpiegelSkyler R Saucedo
Jun 29, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Denis Funfschilling, Michael Dennin
Aug 7, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Zhi-Feng Huang, Jorge Viñals

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