A STOCHASTIC THERMODYNAMICS OF FINITE CHE MICAL-REACTION SYSTEMS INFLUENCED BY GAUSSIAN WHITE NOISES - AN EFFECTIVE THERMODYNAMIC MEASURE FOR THE INFLUENCES OF EXTERNAL NOISES ON FINITE CHEMICAL-REACTION, SYSTEMS

Be using Novikov's Law and MSR theorem, both the effective master equa tion and effective entropy balance equation, generally valid for finit e 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 entro py production explicitly involving the contributions from both the int ernal fluctuations and the external noises is deduced, Furthermore, fo r the case of. the non-macroscopic order noises, by means of the Krame rs-Moyal expansion of the effective master equation, a stochastic form alism 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 simp le case with additive noises shows the weakening effect of the externa l noises to the stability of chemical reaction systems.