Quenched large deviations for Glauber evolution with Kac interaction and Random Field

Olivier Benois; Mustapha Mourragui; Enza Orlandi; Ellen Saada; Livio Triolo

Quenched large deviations for Glauber evolution with Kac interaction and Random Field

Olivier Benois ¹ Mustapha Mourragui ¹ Enza Orlandi ² Ellen Saada ³ Livio Triolo ⁴

1 LMRS - Laboratoire de Mathématiques Raphaël Salem

2 Dipartimento di Matematica [Roma TRE]

3 MAP5 - UMR 8145 - Mathématiques Appliquées Paris 5

4 DIPMAT - Dipartimento di Matematica [Roma II]

Abstract : We study a spin-flip model with Kac type interaction, in the presence of a random field given by i.i.d. bounded random variables. The system, spatially inhomogeneous, evolves according to a non conservative (Glauber) dynamics. We show an almost sure (with respect to the random field) large deviations principle for the empirical magnetizations of this process. The rate functional depends on the statistical properties of the external random field, it is lower semicontinuous with compact level sets.

Keywords : large deviations Interacting particle systems random environment Kac Interaction large deviations.

Type de document :

Article dans une revue

Markov Processes and Related Fields, Polymath, 2012, 18 (2), pp.215-268

Domaine :

Mathématiques [math] / Probabilités [math.PR]

Liste complète des métadonnées

https://hal.archives-ouvertes.fr/hal-00597252
Contributeur : Olivier Benois <>
Soumis le : lundi 7 mai 2012 - 13:54:53
Dernière modification le : jeudi 7 février 2019 - 16:39:11
Document(s) archivé(s) le : mercredi 8 août 2012 - 02:31:09

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Quenched large deviations for Glauber evolution with Kac interaction and Random Field

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