Benois, O.; Mourragui, Mustapha; Orlandi, Enza; Saada, Ellen; Triolo, Livio Quenched large deviations for Glauber evolution with Kac interaction and random field. (English) Zbl 1278.82040 Markov Process. Relat. Fields 18, No. 2, 215-268 (2012). Summary: 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 deviation principle for the empirical magnetizations of this process. The rate functional associated with the large deviation principle depends on the statistical properties of the external random field, it is lower semicontinuous with compact level sets. Cited in 1 Document MSC: 82C22 Interacting particle systems in time-dependent statistical mechanics 60K35 Interacting random processes; statistical mechanics type models; percolation theory 60F10 Large deviations Keywords:external random field; random field; i.i.d. bounded random variables; large deviation principle PDFBibTeX XMLCite \textit{O. Benois} et al., Markov Process. Relat. Fields 18, No. 2, 215--268 (2012; Zbl 1278.82040) Full Text: arXiv