Fluctuations and pattern selection near an Eckhaus instability

E. Hernández-García, Jorge Viñals, Raúl Toral, M. San Miguel

Research output: Contribution to journalArticle

23 Scopus citations

Abstract

We study the effect of fluctuations in the vicinity of an Eckhaus instability. Fluctuations smear out the stability limit into a region in which fluctuations and nonlinearities dominate the decay of unstable states. We also find an effective stability boundary that depends on the intensity of fluctuations. A numerical solution of the stochastic Swift-Hohenberg equation in one dimension is used to test these predictions and to study pattern selection when the initial unstable state lies within the fluctuation dominated region. The nonlinear relaxation is shown to exhibit a scaling form.

Original languageEnglish (US)
Pages (from-to)3576-3579
Number of pages4
JournalPhysical Review Letters
Volume70
Issue number23
DOIs
StatePublished - Jan 1 1993
Externally publishedYes

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