×

Quenched large deviations for Glauber evolution with Kac interaction and random field. (English) Zbl 1278.82040

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.

MSC:

82C22 Interacting particle systems in time-dependent statistical mechanics
60K35 Interacting random processes; statistical mechanics type models; percolation theory
60F10 Large deviations
PDFBibTeX XMLCite
Full Text: arXiv