Theory of transport processes in dense fluids

Open Access
Publisher Website
Google Scholar
Abstract
The projection operator methods of Mori and Zwanzig are used to construct kinetic equations for the single-particle distribution functions of a fluid mixture. The particle interactions are pair-additive sums of hard-core and soft, continuous potentials. The mean field kinetic equations obtained by discarding the multicomponent memory functions are identical in form to van Beijeren and Ernst’s revised Enskog equations for a hard sphere mixture, but incorporate the radial and direct correlation functions characteristic of the composite interaction. The 13-moments methods is used to construct an approximate solution of the mean field kinetic equation for a simple fluid and to relate the associated, zero-frequency transport coefficients to those of the conventional Enskog theory. Our choice of interaction parameters optimally mimicks a Lennard-Jones 12-6 fluid and yields excellent estimates of viscosity.