title: Generating moment equations in the Doi model of liquid-crystalline polymers.
abstract: We present a self-consistent method for deriving moment equations for kinetic models of polymer dynamics. The Doi model [J. Polym. Sci., Polym. Phys. Ed. 19, 229 (1981)] of liquid-crystalline polymers with the Onsager excluded-volume potential is considered as an example. To lowest order, this method amounts to a simple effective potential different from the Maier-Saupe form. Analytical results are presented which indicate that this effective potential provides a better approximation to the Onsager potential than the Maier-Saupe potential. Corrections to the effective potential are obtained.
authors.affiliation: Department of Materials, Institute of Polymers, ETH Zürich, Switzerland.
authors.forename: P
authors.initials: P
authors.lastname: Ilg
authors.forename: I V
authors.initials: IV
authors.lastname: Karlin
authors.forename: H C
authors.initials: HC
authors.lastname: Ottinger