Molecular formulation of the internal viscosity in polymer dynamics, and stress symmetry

Abstract

Internal viscosity, the property of polymer ``submolecule'' resistance to its rate of extension, is derived from the mechanics of atomic bond rotations within the submolecule. The result for these deformational forces and velocities is F̂^d = c C · V̂^d in supervector notation for the whole set of submolecules, where C is the Zimm matrix and c is related to rotational energy barriers E(φ) and other molecular parameters. The controversy about stress symmetry predictions of all such models is resolved.