Hm. Sevian et al., COMPARISON OF A BORN-GREEN-YVON INTEGRAL-EQUATION TREATMENT OF A COMPRESSIBLE BINARY POLYMER BLEND ON A LATTICE WITH RECENT SIMULATIONS, The Journal of chemical physics, 99(5), 1993, pp. 4112-4120
Predictions of macroscopic and microscopic thermodynamic Properties of
a polymer blend using the Born-Green-Yvon (BGY) integral equation tre
atment of a compressible polymer mixture on a lattice are compared to
recent simulations of compressible symmetric binary mixtures on a latt
ice. The theory is consistent with recent simulation studies which ind
icate that the critical temperature scales linearly with chain length.
In addition, we show that the theory is effective in modeling the qua
litative trends in the numbers of different types of pair contacts on
the lattice, and also present comparisons of binodal and spinodal curv
es. These comparisons indicate that quantitative differences between t
he theory and simulation results are likely associated with the manner
in which connectivity is treated in the lattice BGY description. We c
onclude by discussing avenues whereby connectivity may be incorporated
more consistently in the development of the theory.