Domain coarsening of stripe patterns close to onset

D. Boyer, J. Viñals

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57 Scopus citations


We study domain coarsening of two-dimensional stripe patterns by numerically solving the Swift-Hohenberg model of Rayleigh-Bénard convection. Near the bifurcation threshold, the evolution of disordered configurations is dominated by grain-boundary motion through a background of largely immobile curved stripes. A numerical study of the distribution of local stripe curvatures, of the structure factor of the order parameter, and a finite size scaling analysis of the grain-boundary perimeter, suggest that the linear scale of the structure grows as a power law of time [formula presented] with [formula presented] We interpret theoretically the exponent [formula presented] from the law of grain-boundary motion.

Original languageEnglish (US)
Number of pages1
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Issue number5
StatePublished - Nov 1 2001


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