Stochastic PDEs:
domain formation in dynamic transitions


Anales de Fisica 90 55-62 (1998)

G.D. Lythe

CNLS
Los Alamos National Laboratory

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.

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