E. Kierlik et Ml. Rosinberg, A PERTURBATION DENSITY-FUNCTIONAL THEORY FOR POLYATOMIC FLUIDS .2. FLEXIBLE MOLECULES, The Journal of chemical physics, 99(5), 1993, pp. 3950-3965
The density-functional theory for polyatomic fluids presented earlier
[J. Chem. Phys. 97, 9222 (1992)] on the basis of Wertheim's thermodyna
mic perturbation theory of polymerization is extended to the case of n
onrigid molecules. In this formulation, the free energy in the limit o
f complete association is express as a functional of the full molecula
r distribution function and the excess contribution is obtained pertur
batively from the excess free energy and the structural properties of
the reference monomeric fluid at the same density. This defines a set
of approximations which can be also related to the general formalism d
eveloped by Chandler and Pratt. As a first application, the intermolec
ular site-site correlations of homonuclear chainlike hard-sphere molec
ules are calculated within first-order perturbation theory (TPT1). Qua
litative agreement with simulation data is found for short chains at h
igh densities but the theory fails for long chains and low densities b
ecause of the neglect of the intramolecular excluded volume.