Sharp asymptotics for metastability in the random field Curie-Weiss model. (English) Zbl 1186.82069

Summary: 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.


82C44 Dynamics of disordered systems (random Ising systems, etc.) in time-dependent statistical mechanics
60K35 Interacting random processes; statistical mechanics type models; percolation theory
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