Asymptotic Evaluation of Fluctuation of Macrovariables near Instability Points

Abstract

Two methods for asymptotic expansion of kinetic equation, namely, the system size expansion of master equation and the reductive perturbation for macroscopic equation of motion, are incorporated to calculate the fluctuation of macrovariables in systems far from thermal equilibrium. As an illustration, analytical expressions for the moments of fluctuation in an open chemical system slightly beyond the instability point are obtained.