LONG RANGE CORRELATIONS FOR MICROSCOPIC STOCHA-STIC DYNAMICS IN A NONEQUILIBRIUM STEADY STATE (Ⅱ)——PROVE FOR THE CORRECTNESS OF A MICROSCOPIC STOCHASTIC DYNAMICALMODEL

Abstract

As a particle model, we investigate a stochastic lattice gas with Kawasaki dynamics. We establish the connection with the fluctuating hydrodynamics. In the case of hard core interaction only we prove the validity of fluctuating hydrodynamics and obtain the corrections which are presumably model dependent.