title: Domain coarsening of stripe patterns close to onset.
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 t(1/z), with z=3. We interpret theoretically the exponent z=3 from the law of grain-boundary motion.
authors.affiliation: School of Computational Science and Information Technology, Florida State University, Tallahassee, Florida 32306-4120, USA.
authors.forename: D
authors.initials: D
authors.lastname: Boyer
authors.forename: J
authors.initials: J
authors.lastname: Viñals