Rf. Snider et al., MODERATELY DENSE GAS QUANTUM KINETIC-THEORY - TRANSPORT COEFFICIENT EXPRESSIONS, The Journal of chemical physics, 105(8), 1996, pp. 3066-3078
Expressions for the transport coefficients of a moderately dense gas a
re obtained, based on a recently derived density corrected quantum Bol
tzmann equation. Linearization of the equations determining the pair c
orrelation and the ''free'' singlet density operators about local equi
librium is discussed first. The rate of change of the pair correlation
s is treated as dynamic effects for pairs of particles relaxing to loc
al equilibrium via a relaxation time model. arising from interactions
with ''third particles.'' In contrast, the singlet density operator sa
tisfies a Boltzmann equation with binary collisions. Spatially inhomog
eneous corrections to the collision superoperator are included. Contri
butions to the transport coefficients arise from the perturbation from
local equilibrium through fluxes associated with kinetic, collisional
and, for the thermal conductivity, potential energy mechanisms. A com
parison is made between the classical limit of the transport coefficie
nt expressions obtained here and the classical expressions previously
derived from the Boltzmann equation with the nonlocal collision correc
tions of Green and Bogoliubov. (C) 1995 American Institute of Physics.