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2009 Sharp asymptotics for metastability in the random field Curie-Weiss model
Alessandra Bianchi, Anton Bovier, Dmitry Ioffe
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Electron. J. Probab. 14: 1541-1603 (2009). DOI: 10.1214/EJP.v14-673


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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Alessandra Bianchi. Anton Bovier. Dmitry Ioffe. "Sharp asymptotics for metastability in the random field Curie-Weiss model." Electron. J. Probab. 14 1541 - 1603, 2009.


Accepted: 9 July 2009; Published: 2009
First available in Project Euclid: 1 June 2016

zbMATH: 1186.82069
MathSciNet: MR2525104
Digital Object Identifier: 10.1214/EJP.v14-673

Primary: 82C44
Secondary: 60G70 , 60K35

Keywords: capacity , Disordered system , Glauber dynamics , metastability , potential theory

Vol.14 • 2009
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