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Metastability and Convergence to Equilibrium for the Random Field Curie–Weiss Model

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Abstract

We study a dynamics for the magnetization of the random field Curie–Weiss model. A metastable behavior is exhibited and asymptotic estimates on the speed of convergence to equilibrium are given. The results are given almost surely and in law with respect to the realizations of the random magnetic fields.

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Authors and Affiliations

  1. CMI, Université de Provence, 13453, Marseille, France

    P. Mathieu

  2. Centre de Physique Théorique-CNRS, Luminy, Case 907, F-13288, Marseille Cedex 9, France

    P. Picco

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  1. P. Mathieu
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Mathieu, P., Picco, P. Metastability and Convergence to Equilibrium for the Random Field Curie–Weiss Model. Journal of Statistical Physics 91, 679–732 (1998). https://doi.org/10.1023/A:1023085829152

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