GLAUBER EVOLUTION WITH KAC POTENTIALS .2. FLUCTUATIONS

In this paper we continue the analysis of the Glauber evolution in Isi ng systems with Kac interactions. In the first paper, we have proved t hat in a continuum limit, called the mesoscopic limit, the magnetizati on density converges to the solution of a non-local deterministic equa tion. Here we study the fluctuations around the limit proving converge nce to a generalized Orsnstein-Uhlenbeck process. We also prove asympt otic formulae for the correlation functions that improve those establi shed in the previous paper and that will be used in a successive paper to study phase separation.