2008/06/27 by Alessandra Bianchi, Bianchi, A., Anton Bovier +3 · 1 citation
Mathematics · Physics and Astronomy · #60G70 #60K35 #82C44 #FOS: Mathematics #FOS: Physical sciences #Markov Chains and Monte Carlo Methods #Mathematical Physics (math-ph) #Probability (math.PR) #Stochastic processes and statistical mechanics #Theoretical and Computational Physics
paper · pdf · doi:10.48550/arxiv.0806.4478
openalex publication_date 2008/06/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.