A Molecular Kinetic Theory of Inhomogeneous Liquid Crystal Flow and the Small Deborah Number Limit
Weinan E and Pingwen Zhang
Source: Methods Appl. Anal. Volume 13, Number 2 (2006), 181-198.
Abstract
The Doi kinetic theory for homogeneous flows of rodlike liquid crystalline polymers (LCPs) is extended to inhomogeneous flows through introducing a nonlocal intermolecular potential. An extra term in the form of an elastic body force comes out as a result of this extension. Systematic asympototic analysis in the small Deborah number limit is carried out, and the classical Ericksen- Leslie equations are derived in this limit. The Leslie coefficients are derived in terms of molecular parameters, and the Ericksen stress emerges from the body force.
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Permanent link to this document: http://projecteuclid.org/euclid.maa/1200694871
Mathematical Reviews number (MathSciNet):
MR2381545
Methods and Applications of Analysis
