The Annals of Applied Probability

On the averaged dynamics of the random field Curie-Weiss model

Luiz Renato Fontes, Pierre Mathieu, and Pierre Picco

Full-text: Open access

Abstract

We describe the averaged over the disordered dynamics for the random field Curie–Weiss model. We consider both the magnetization and the full spin dynamics.Our approach is based on spectral asymptotics and includes results on the random fluctuations of eigenvalues and eigenvectors.

Article information

Source
Ann. Appl. Probab., Volume 10, Number 4 (2000), 1212-1245.

Dates
First available in Project Euclid: 22 April 2002

Permanent link to this document
https://projecteuclid.org/euclid.aoap/1019487614

Digital Object Identifier
doi:10.1214/aoap/1019487614

Mathematical Reviews number (MathSciNet)
MR1810872

Zentralblatt MATH identifier
1073.60540

Subjects
Primary: 60K35: Interacting random processes; statistical mechanics type models; percolation theory [See also 82B43, 82C43]
Secondary: 82B44: Disordered systems (random Ising models, random Schrödinger operators, etc.) 82D30: Random media, disordered materials (including liquid crystals and spin glasses) 82C44: Dynamics of disordered systems (random Ising systems, etc.)

Keywords
Metastability glauber dynamics random field Curie-Weiss model

Citation

Fontes, Luiz Renato; Mathieu, Pierre; Picco, Pierre. On the averaged dynamics of the random field Curie-Weiss model. Ann. Appl. Probab. 10 (2000), no. 4, 1212--1245. doi:10.1214/aoap/1019487614. https://projecteuclid.org/euclid.aoap/1019487614


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  • CMI, Universit´e de Provence 39 Rue F. Joliot Curie 13453 Marseille Cedex 13 France E-mail: pmathieu@gyptis.univ-mrs.fr P. Picco CPT-CNRS Luminy Case 907 13288 Marseille Cedex 9 France E-mail: picco@cpt.univ-mrs.fr