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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Contributor : Olivier Benois <>
Submitted on : Monday, May 7, 2012 - 1:54:53 PM
Last modification on : Friday, September 20, 2019 - 4:34:03 PM
Long-term archiving on: Wednesday, August 8, 2012 - 2:31:09 AM

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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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