关键词: 高斯白噪声, 有效主方程, 平均概率分布, 有效熵平衡方程, Kramers-Moyal展开

Abstract: By using Novikov's Law and MSR theorem, both the effective master equation and effective entropy balance equation, generally valid for finite chemical reaction systems influenced by Gaussian white noises, have been established. It is shown that there are three kinds of conjugated stochastic forces and fluxes. A general expression of effective entropy production explicitly involving the contributions from both the internal fluctuations and the external noises is deduced. Furthermore, for the case of the non-macroscopic order noises,by means of the Kramers-Moyal expansion of the effective master equation, a stochastic formalism simulating the macroscopic stability criterion of nonequilibrium steady states in finite chemical reaction systems influenced by white noises is also established, and then an illustration quoting the simple case with additive noises shows the weakening effect of the external noises to the stability of chemical reaction systems.

Key words: Gaussian white noises, Effective master equation, Average probability distribution, Effective entropy balance equation, Kramers-Moyal expansion