Transport in weakly coupled systems

Abstract

The weak coupling kinetic equation singlet distribution function for both pure and binary mixture systems is solved using the Chapman-Enskog technique. These solutions are used to specifically investigate the effects of spatial and temporal delocalization in the collision operator upon the hydrodynamic equations and kinetic transport coefficients of a fluid. It is shown that both temporal and spatial delocalization must be included in the collision operator if the correct hydrodynamic equations for dense fluids are to be obtained. In addition, the contributions to the kinetic transport coefficients from the different types of delocalization are of the same order of magnitude so these effects should be considered simultaneously in dense fluid kinetic equations.