Poisson bracket formulation of nematic polymer dynamics

Authors
Citation
Rd. Kamien, Poisson bracket formulation of nematic polymer dynamics, PHYS REV E, 61(3), 2000, pp. 2888-2894
Citations number
22
Categorie Soggetti
Physics
Journal title
PHYSICAL REVIEW E
ISSN journal
1063651X → ACNP
Volume
61
Issue
3
Year of publication
2000
Pages
2888 - 2894
Database
ISI
SICI code
1063-651X(200003)61:3<2888:PBFONP>2.0.ZU;2-9
Abstract
We formulate the dynamical theory of nematic polymers, starting from a micr oscopic Poisson bracket approach. We find that the Poisson bracket between the nematic director and momentum depends on the (Maier-Saupe) order parame ter of the nematic phase. We use this to derive reactive couplings of the n ematic director to the strain rates. Additionally, we find that local dynam ics breaks down as the polymers begin Ca overlap. We offer a physical pictu re for both results.