Stochastic PDEs: domain formation in dynamic transitions

Abstract

Spatiotemporal evolution in the real Ginzburg-Landau equation is studied with space-time noise and a slowly increasing critical parameter. Analytical estimates for the characteristic size of the domains formed in a slow sweep through the critical point agree with the results of finite difference solution of the stochastic PDEs.

arXiv commentLaTeX, 8 pages, 2 postscript figures included

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