CONTINUUM DESCRIPTION FOR NONEQUILIBRIUM COMPETING DYNAMIC-MODELS

In contrast to what happens in systems at thermodynamic equilibrium, m icroscopic dynamics plays an essential role in the macroscopic behavio r of nonequilibrium systems. Usually, continuum descriptions of nonequ ilibrium systems do not model accurately enough this microscopic depen dence. For a broad class of nonequilibrium lattice models, defined thr ough a master equation, we construct a continuous representation, i.e. , a Fokker-Planck equation. It is constructed in such a way that its d eterministic stationary states and the fluctuations in a neighborhood of them are exactly represented. Therefore any future analysis based o n this new Fokker-Planck equation will lead to more confident results.