Generating moment equations in the Doi model of liquid-crystalline polymers

Details Generating moment equations in the Doi model of liquid-crystalline polymers Generating moment equations in the Doi model of liquid-crystalline polymers

2000-03-31

arxiv.org/abs/cond-mat/0003506v1

Phys. Rev. E 60, 5783 (1999)

Physics

Condensed Matter

Soft Condensed Matter

6 pages, 2 figures

Scientific paper

10.1103/PhysRevE.60.5783

We present a self-consistent method for deriving moment equations for kinetic models of polymer dynamics. The Doi model [M. Doi, J.Polymer. 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.

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