Systematic derivation of classical kinetic equations for simple dense fluids

Abstract

A set of general linear kinetic classical equations is derived (equations (71), (72) and (73) of this paper) for the singlet distribution function in phase space of a classical dense fluid. Approximate forms of these general equations are shown to reduce to alternative theories of fluids already available and it is shown further that the present theory reduces to that of Prigogine when the phase variables are transformed into Fourier space. The theory can readily be extended to apply to higher order distribution functions.