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.Comment: 40 page
