A variational approach to microscopic kinetics of an interacting lattice gas was presented. It accounted for the equilibrium correlations in the system and allows one to derive an algebraic expression for the particle density (coverage) dependent chemical diffusion coefficient for a wide variety of interaction models. Detailed derivation was presented for a one dimensional case for which the results were compared with the results of Monte Carlo simulations. Generalization and an application to the simplest case of the 2-dimensional lattice gas was briefly described.

Chemical Diffusion in an Interacting Lattice Gas - Analytic Theory and Simple Applications. Z.W.Gortel, M.A.Załuska-Kotur: Physical Review B, 2004, 70[12], 125431 (25pp)