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Equivalent variational approaches to biaxial liquid crystal dynamics

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Publication:5363435

DOI10.1098/RSPA.2015.0308zbMATH Open1371.82140arXiv1503.03024OpenAlexW2265140304MaRDI QIDQ5363435

Author name not available (Why is that?)

Publication date: 29 September 2017

Published in: (Search for Journal in Brave)

Abstract: Within the framework of liquid crystal flows, the Qian & Sheng (QS) model for Q-tensor dynamics is compared to the Volovik & Kats (VK) theory of biaxial nematics by using Hamilton's variational principle. Under the assumption of rotational dynamics for the Q-tensor, the variational principles underling the two theories are equivalent and the conservative VK theory emerges as a specialization of the QS model. Also, after presenting a micropolar variant of the VK model, Rayleigh dissipation is included in the treatment. Finally, the treatment is extended to account for nontrivial eigenvalue dynamics in the VK model and this is done by considering the effect of scaling factors in the evolution of the Q-tensor.


Full work available at URL: https://arxiv.org/abs/1503.03024




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