Abstract: By means of both the separation of perturbation in accordance with characteristic parameters and the Kramers-Moyal expansion of master equation, it is shown that the time-derivative of the partial excess quantity of stochastic entropy due to the deviation from the most probable path is related to the responsibility of a system to the external macroscopic perturbations. This evolution rate of the partial excess stochastic entropy is equivalent to the partial excess stochastic entropy production, as well as the stochastic excess entropy production rate based on the stochastic potential approach. It appears also as an equivalent quantity of the Gibbs'excess entropy production for the Poisson distribution. The macroscopic stability of chemical reaction systems is dominated by this new stochastic quantity when the local equilibrium thermodynamics is broken down.

Key words: Macroscopic stability, Nonequllibrlum steady states, Master equation, Kramers-Moyalexpansion, Separation of perturbation in accordance with characteristic parameters