WIAS Preprint No. 1342, (2008)

Sharp asymptotics for metastability in the random field Curie--Weiss model



Authors

  • Bianchi, Alessandra
    ORCID: 0000-0003-1566-6000
  • Bovier, Anton
  • Ioffe, Dmitry

2010 Mathematics Subject Classification

  • 82C44 60K35 60G70

Keywords

  • Disordered system, random field Curie-Weiss model, Glauber dynamics, metastability, potential theory, Dirichlet form, capacity

Abstract

In this paper we study the metastable behavior of one of the simplest disordered spin system, the random field Curie-Weiss model. We will show how the potential theoretic approach can be used to prove sharp estimates on capacities and metastable exit times also in the case when the distribution of the random field is continuous. Previous work was restricted to the case when the random field takes only finitely many values, which allowed the reduction to a finite dimensional problem using lumping techniques. Here we produce the first genuine sharp estimates in a context where entropy is important.

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