CONTINUUM DESCRIPTION FOR NONEQUILIBRIUM COMPETING DYNAMIC-MODELS

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