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

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.
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https://hal.archives-ouvertes.fr/hal-00597252
Contributor : Olivier Benois <>
Submitted on : Wednesday, October 12, 2011 - 9:34:21 AM
Last modification on : Tuesday, March 24, 2020 - 4:08:24 PM
Document(s) archivé(s) le : Friday, January 13, 2012 - 2:45:06 AM

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  • HAL Id : hal-00597252, version 2
  • ARXIV : 1105.6290

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Olivier Benois, Mustapha Mourragui, Enza Orlandi, Ellen Saada, Livio Triolo. Quenched large deviations for Glauber evolution with Kac interaction and Random Field. 2011. ⟨hal-00597252v2⟩

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