Euler-Poincaré approaches to nematodynamics

Abstract

Nematodynamics is the orientation dynamics of flowless liquid-crystals. We show how Euler-Poincaré 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.

26 pages, no figures

References in corpus (2)

• Equivalent theories of liquid crystal dynamics
• The helicity and vorticity of liquid crystal flows

Cited by in corpus (7)

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• Hybrid models for complex fluids with multipolar interactions
• From liquid crystal models to the guiding-center theory of magnetized plasmas
• Equivalent variational approaches to biaxial liquid crystal dynamics
• Heisenberg dynamics of mixed quantum-classical systems
• Holonomy and vortex structures in quantum hydrodynamics