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.
Publié le : 2006-06-15
Classification:
Rodlike liquid crystal polymers,
Doi equation,
Ericksen-Leslie theory,
Inhomogeneous flow,
Body force,
76B03,
65M12,
35Q35
@article{1200694871,
author = {E, Weinan and Zhang, Pingwen},
title = {A Molecular Kinetic Theory of Inhomogeneous Liquid Crystal Flow and the Small
Deborah Number Limit},
journal = {Methods Appl. Anal.},
volume = {13},
number = {1},
year = {2006},
pages = { 181-198},
language = {en},
url = {http://dml.mathdoc.fr/item/1200694871}
}
E, Weinan; Zhang, Pingwen. A Molecular Kinetic Theory of Inhomogeneous Liquid Crystal Flow and the Small
Deborah Number Limit. Methods Appl. Anal., Tome 13 (2006) no. 1, pp. 181-198. http://gdmltest.u-ga.fr/item/1200694871/