Hh. Gan et Bc. Eu, SELF-CONSISTENT INTEGRAL-EQUATION THEORY OF CHAIN-MOLECULAR LIQUIDS .2. IMPROVED INTERMOLECULAR EQUATIONS, The Journal of chemical physics, 105(10), 1996, pp. 4323-4341
Improved self-consistent intermolecular integral equations for a chain
-molecular liquid are derived from the polymer Kirkwood hierarchy. The
present work is a continuation of our recent work reported in a previ
ous paper [J. Chem. Phys. 103, 2140 (1995)]. It is shown that the refe
rence interaction site model (RISM) equation and extensions thereof ca
n be obtained from the new intermolecular equations. The solutions of
the new self-consistent set of intra- and intermolecular equations are
compared with computer simulation data for chains with repulsive inte
raction potentials whose lengths N vary from 4 to 100 sites. The inter
molecular correlation functions obtained from simulations are accurate
ly reproduced. Comparisons with simulation data for the pressure equat
ion of state and excess chemical potential show that the predictions o
f the self-consistent theory are accurate for packing fractions up to
0.4. These thermodynamic functions are found to scale as N for N > 16,
implying that results obtained for short chains can be extrapolated t
o much longer chains. (C) 1996 American Institute of Physics.