Ordering dynamics in the two-dimensional stochastic swift-hohenberg equation

K. R. Elder, Jorge Viñals, Martin Grant

Research output: Contribution to journalArticlepeer-review

106 Scopus citations

Abstract

Numerical and analytic techniques are used to study the roll patterns which appear following a convective instability as modeled by the Swift-Hohenberg equation. The results of this work reveal the presence of a disordered state and a quasiordered state at large and small noise strengths, respectively. The dynamical approach to these states is shown to be rapid in the former case and slow in the later. Both numerical and analytic calculations indicate that the slow dynamics can be characterized by a simple scaling relationship.

Original languageEnglish (US)
Pages (from-to)3024-3027
Number of pages4
JournalPhysical review letters
Volume68
Issue number20
DOIs
StatePublished - 1992

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