Sharp asymptotics for metastability in the random field Curie-Weiss model
Alessandra Bianchi, Weierstrass Institute for Applied Analysis and Stochastics (WIAS)
Anton Bovier, Institut für Angewandte Mathematik Rheinische Friedrich-Wilhelms-Universität
Dmitry Ioffe, William Davidson Faculty of Industrial Engineering and Management Technion
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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