Domain coarsening of stripe patterns close to onset

D. Boyer, J. Viñals

Research output: Contribution to journalArticle

55 Citations (Scopus)

Abstract

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
Volume64
Issue number5
DOIs
StatePublished - Nov 1 2001

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Grain Boundary
Coarsening
grain boundaries
Motion
Structure Factor
Finite-size Scaling
Perimeter
Rayleigh
Order Parameter
Convection
Numerical Study
Power Law
convection
Bifurcation
Curvature
Exponent
curvature
exponents
scaling
Configuration

Cite this

Domain coarsening of stripe patterns close to onset. / Boyer, D.; Viñals, J.

In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 64, No. 5, 01.11.2001.

Research output: Contribution to journalArticle

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