Euler-Poincar\'e approaches to nematodynamics
Soft Condensed Matter
2012-05-07 v2 Chaotic Dynamics
Abstract
Nematodynamics is the orientation dynamics of flowless liquid-crystals. We show how Euler-Poincar\'e reduction produces a unifying framework for various theories, including Ericksen-Leslie, Luhiller-Rey, and Eringen's micropolar theory. In particular, we show that these theories are all compatible with each other and some of them allow for more general configurations involving a non vanishing discination density. All results are also extended to flowing liquid crystals.
Keywords
Cite
@article{arxiv.1110.2617,
title = {Euler-Poincar\'e approaches to nematodynamics},
author = {François Gay-Balmaz and Tudor S. Ratiu and Cesare Tronci},
journal= {arXiv preprint arXiv:1110.2617},
year = {2012}
}
Comments
26 pages, no figures