Quenched large deviations for Glauber evolution with Kac interaction and   Random Field
  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. 
Olivier Benois (LMRS), Mustapha Mourragui (LMRS), Enza Orlandi, Ellen   Saada (MAP5), Livio Triolo (DIPMAT)
math.PR