Slow coarsening in a class of driven systems

Y Kafri*, D Biron, MR Evans, D Mukamel

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

The coarsening process in a class of driven systems is studied. These systems have previously been shown to exhibit phase separation and slow coarsening in one dimension. We consider generalizations of this class of models to higher dimensions. In particular we study a system of three types of particles that diffuse under local conserving dynamics in two dimensions. Arguments and numerical studies are presented indicating that the coarsening process in any number of dimensions is logarithmically slow in time. A key feature of this behavior is that the interfaces separating: the various growing domains are macroscopically smooth (well approximated by a Fermi function). This implies that the coarsening mechanism in one dimension is readily extendible to higher dimensions.

Original languageEnglish
Pages (from-to)669-676
Number of pages8
JournalThe European Physical Journal B
Volume16
Issue number4
Publication statusPublished - Aug 2000

Keywords

  • SPONTANEOUS SYMMETRY-BREAKING
  • DIFFUSIVE SYSTEMS
  • PHASE-SEPARATION
  • TRANSLATIONAL INVARIANCE
  • STATIONARY STATES
  • BIASED DIFFUSION
  • DOMAIN GROWTH
  • ISING-MODEL
  • DYNAMICS
  • KINETICS

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