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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Markov Processes and Related Fields, Polymath, 2012, 18 (2), pp.215-268
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Soumis le : lundi 7 mai 2012 - 13:54:53
Dernière modification le : mardi 11 octobre 2016 - 12:00:09
Document(s) archivé(s) le : mercredi 8 août 2012 - 02:31:09

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  • HAL Id : hal-00597252, version 3
  • 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. Markov Processes and Related Fields, Polymath, 2012, 18 (2), pp.215-268. <hal-00597252v3>

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