Euler-Poincaré approaches to nematodynamics

Details Euler-Poincaré approaches to nematodynamics Euler-Poincaré approaches to nematodynamics

2011-10-12

arxiv.org/abs/1110.2617v2

Physics

Condensed Matter

Soft Condensed Matter

26 pages, no figures

Scientific paper

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.

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