Fluctuations of a stationary nonequilibrium interface

B. Derrida, J. L. Lebowitz, E. R. Speer, H. Spohn

Research output: Contribution to journalArticlepeer-review

82 Scopus citations

Abstract

We study properties of interfaces between stationary phases of the two-dimensional discrete-time Toom model (north-east-center majority vote with small noise): phases not described by equilibrium Gibbs ensembles. Fluctuations in the interface maintained by mixed boundary conditions grow with distance much slower than in equilibrium systems; they have exponents close to 1/4 or 1/3, depending on symmetry, rather than 1/2, and have long-range correlations reminescent of self-organized critical behavior. Approximate theories reproduce this behavior qualitatively and lead to novel nonlinear partial differential equations for the asymptotic profile.

Original languageEnglish (US)
Pages (from-to)165-168
Number of pages4
JournalPhysical review letters
Volume67
Issue number2
DOIs
StatePublished - 1991

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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