Interface motion in models with stochastic dynamics

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We derive the phenomenological dynamics of interfaces from stochastic "microscopic" models. The main emphasis is on models with a nonconserved order parameter. A slowly varying interface has then a local normal velocity proportional to the local mean curvature. We study bulk models and effective interface models and obtain Green-Kubo-like expressions for the mobility. Also discussed are interface motion in the case of a conserved order parameter, pure surface diffusion, and interface fluctuations. For the two-dimensional Ising model at zero temperature, motion by mean curvature is established rigorously.

Original languageEnglish
Pages (from-to)1081-1132
Number of pages52
JournalJournal of Statistical Physics
Issue number5-6
StatePublished - Jun 1993
Externally publishedYes


  • Ginzburg-Landau models A and B
  • Green-Kubo formula for the interfacial mobility
  • interfacial dynamics
  • lattice gases
  • motion by mean curvature
  • spin-flip models


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