Journal of Statistical Physics

, Volume 91, Issue 3, pp 679–732

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

  • P. Mathieu
  • P. Picco

DOI: 10.1023/A:1023085829152

Cite this article as:
Mathieu, P. & Picco, P. Journal of Statistical Physics (1998) 91: 679. doi:10.1023/A:1023085829152


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.

Metastabilityrandom magnetic fieldrandom spin systemsGlauber dynamicsCurie–Weiss model

Copyright information

© Plenum Publishing Corporation 1998

Authors and Affiliations

  • P. Mathieu
    • 1
  • P. Picco
    • 2
  1. 1.CMI, Université de ProvenceMarseilleFrance
  2. 2.Centre de Physique Théorique-CNRS, Luminy, Case 907Marseille Cedex 9France