Quenched large deviations for Glauber evolution with Kac interaction and Random Field
Probability
2012-12-05 v3
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.
Cite
@article{arxiv.1105.6290,
title = {Quenched large deviations for Glauber evolution with Kac interaction and Random Field},
author = {Olivier Benois and Mustapha Mourragui and Enza Orlandi and Ellen Saada and Livio Triolo},
journal= {arXiv preprint arXiv:1105.6290},
year = {2012}
}
Comments
40 pages