The Modified Enskog Equation for Mixtures

Abstract

In a previous paper it was shown that a modified form of the Enskog equation, applied to mixtures of hard spheres, should be considered as the correct extension of the usual Enskog equation to the case of mixtures. The main argument was that the modified Enskog equation leads to linear transport coefficients which are in complete agreement with the laws of irreversible thermodynamics. The existing extensions of the Enskog equation to the case of mixtures, on the other hand, yield results which do not satisfy the Onsager reciprocity relations. In this paper the detailed derivation of these results is presented, i.e., the normal solution of the modified Enskog equation for mixtures is obtained, the Navier-Stokes equations are derived and the explicit expressions for the linear transport coefficients which follow, are shown to satisfy the laws of irreversible thermodynamics.