Switching Paths for Ising Models with Long-Range Interaction

Nicolas Dirr

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

The chapter discusses a multiscale model for a two-phases material. The model is a stochastic process on the finest scale. The effective behaviour on larger scales is governed by deterministic nonlinear evolution equations. Due to the stochasticity on the finest scale, deviations from these limit evolution laws can happen with small probability. The chapter describes the most likely among those deviations in two situations: (i) the switching from one stable equilibrium of the evolution equation to another one, (ii) enforced, fast motion on a manifold of stationary solutions. This chapter is based on joint work with Giovanni Bellettini, Anna DeMasi and Errico Presutti.

Original languageEnglish
Title of host publicationAnalysis and Stochastics of Growth Processes and Interface Models
EditorsPeter Morters , Matthew Penrose , Hartmut Schwetlick , Johanes Zimmer
PublisherOxford University Press
ISBN (Print)9780199239252
DOIs
Publication statusPublished - 2008

Keywords

  • Enforced motion
  • Ising model
  • Long-range interaction
  • Switching
  • Two-phases material

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