Expansion of the master equation in the vicinity of a critical point

Abstract

In the past, by introducing the concept of `system size effect' in the stochastic analysis of nonequilibrium critical phenomena, we showed by a computer experiment that the new aspect, which exceeds usual conventional result, existed. In this Letter, a new expansion method of the master equation for studying nonequilibrium critical phenomena under this concept is proposed. Then the following is shown: that the result has exceeded the classical stochastic analysis, and that agrees with the result of the theory of Wilson in case of the partition function with coupling terms neglected in usual equilibrium critical phenomena.