System Size Effect in Dynamical Fluctuation of a Nonequilibrium Stochastic System

Abstract

It is indicated that the system size effect performs an important role in the property of dynamical fluctuation in the nonlinear stochastic system far away from equilibrium. In Schlögl's bimolecular reaction model, the properties of dynamical fluctuation show a distinctive feature depending on the value of index β which satisfies the relation V =(1 / k ) β , where V is the system volume and k is a measure of the distance from equilibrium. When β>1.0, these properties show the classical feature. On the other hand when β<1.0, some peculiar phenomena essential in the nonequilibrium stochastics of nonlinear system are observed in the transition region far away from equilibrium as a result of system size effect.