Equations of Motion for Fluctuation and Variance in Nonequilibrium State

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Abstract
A linear Langevin type equation of motion for a set of fluctuations of physical quantities in nonequilibrium is derived on the basis of kinematical considerations. This equation has a time-dependent coefficient and asymmetric correlations between fluctuation forces. The fluctuating forces satisfy a formula similar to the fluctuation-dissipation theorem. A variance equation is deduced from our equation of motion through the assumption that the fluctuating forces have short time correlations. This equation has the same form as that obtained from the point of view of the asymptotic evaluation of the master equation for macrovariables. The variance equation derived has an applicability wider than what was recognized in such an asymptotic evaluation.

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