Coarsening in potential and nonpotential models of oblique stripe patterns
arXiv:0709.2119 · doi:10.1103/PhysRevE.76.041131
Abstract
We study the coarsening of two-dimensional oblique stripe patterns by numerically solving potential and nonpotential anisotropic Swift-Hohenberg equations. Close to onset, all models exhibit isotropic coarsening with a single characteristic length scale growing in time as . Further from onset, the characteristic lengths along the preferred directions and grow with different exponents, close to 1/3 and 1/2, respectively. In this regime, one-dimensional dynamical scaling relations hold. We draw an analogy between this problem and Model A in a stationary, modulated external field. For deep quenches, nonpotential effects produce a complicated dislocation dynamics that can lead to either arrested or faster-than-power-law growth, depending on the model considered. In the arrested case, small isolated domains shrink down to a finite size and fail to disappear. A comparison with available experimental results of electroconvection in nematics is presented.
arXiv comment13 pages, 13 figures. To appear in Phys. Rev. E
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