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


 
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1. Title Title of document Sharp asymptotics for metastability in the random field Curie-Weiss model
 
2. Creator Author's name, affiliation, country Alessandra Bianchi; Weierstrass Institute for Applied Analysis and Stochastics (WIAS)
 
2. Creator Author's name, affiliation, country Anton Bovier; Institut für Angewandte Mathematik Rheinische Friedrich-Wilhelms-Universität
 
2. Creator Author's name, affiliation, country Dmitry Ioffe; William Davidson Faculty of Industrial Engineering and Management Technion
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) disordered system; Glauber dynamics; metastability; potential theory; capacity
 
3. Subject Subject classification 82C44; 60K35; 60G70
 
4. Description 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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6. Contributor Sponsor(s)
 
7. Date (YYYY-MM-DD) 2009-07-09
 
8. Type Status & genre Peer-reviewed Article
 
8. Type Type
 
9. Format File format PDF
 
10. Identifier Uniform Resource Identifier http://ejp.ejpecp.org/article/view/673
 
10. Identifier Digital Object Identifier 10.1214/EJP.v14-673
 
11. Source Journal/conference title; vol., no. (year) Electronic Journal of Probability; Vol 14
 
12. Language English=en
 
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