Dynamics of a lattice gas

A stochastic model whose ergodic variant coincides with the Ising model has been considered. Constraints following from a microscopic conservation law are imposed on dynamics (lattice gas model). The master equation for the dynamic correlation function has been derived. It has been shown that the separation curve on the density-temperature diagram for the initial microdispersed state lies below that predicted by the Gibbs statistics. Furthermore, not only the position but also the shape of the entire curve can change: it becomes double humped rather than dome shaped.