title: The osmotic virial formulation of the free energy of polymer mixing.
abstract: We derive an alternative formulation of the free energy of polymer mixing in terms of an osmotic virial expansion. Starting from a generalized free energy of mixing, and the assumption that the internal energy of mixing is analytic in the polymer composition variable, we demonstrate that the free energy of mixing can be represented as an infinite series in the osmotic virial coefficients. This osmotic virial formulation is consistent with, but more general than, a relationship derived for polymer blends with structured monomers by Dudowicz, Freed, and Douglas [J. Chem. Phys. 116, 9983 (2002)] and Douglas, Dudowicz, and Freed [J. Chem. Phys. 127, 224901 (2007)].
authors.affiliation: Corporate Strategic Research, ExxonMobil Research and Engineering Company, Annandale, New Jersey 08801, USA.
authors.forename: August W
authors.initials: AW
authors.lastname: Bosse
authors.affiliation: Materials Science and Engineering Division, National Institute of Standards and Technology, Gaithersburg, Maryland 20899, USA.
authors.forename: Jack F
authors.initials: JF
authors.lastname: Douglas