E. Kierlik et Ml. Rosinberg, PERTURBATION DENSITY-FUNCTIONAL THEORY FOR POLYATOMIC FLUIDS .3. APPLICATION TO HARD CHAIN MOLECULES IN SLITLIKE PORES, The Journal of chemical physics, 100(2), 1994, pp. 1716-1730
We present the first implementation of our density-functional theory f
or polyatomic molecules [J. Chem. Phys. 97, 9222 (1992); 99, 3950 (199
3)] to investigate the structure of nonuniform polymer melts. In this
theory, derived originally from Wertheim's perturbation theory of poly
merization, the free energy of the nonuniform fluid is expressed as a
functional of the full molecular distribution function and the excess
contribution is calculated perturbatively over a reference fluid of mo
nomers at the same temperature and singlet density as the real system.
We compare theoretical predictions to simulations of freely jointed h
ard spheres confined between hard walls. We calculate the average and
individual site density profiles, the bond orientation factor, and the
adsorption isotherm. The theory is fairly accurate, though it tends t
o underestimate the depletion of chain sites near the walls at low den
sities and to overestimate the packing effects at high densities. It p
redicts very accurately, however, the density profile of chain ends.