From microscopic theory to macroscopic theory: dynamics of the rod-like liquid crystal molecules

Wei Wang; Pingwen Zhang; Zhifei Zhang

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arXiv · 1305.4721

From microscopic theory to macroscopic theory: dynamics of the rod-like liquid crystal molecules

Wei Wang·Pingwen Zhang·Zhifei Zhang

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Abstract

Starting from Doi-Onsager equation for the liquid crystal, we first derive the Q-tensor equation by the Bingham closure. Then we derive the Ericksen-Leslie equation from the Q-tensor equation by taking the small Deborah number limit.

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Wei Wang, Pingwen Zhang, Zhifei Zhang. 2013-05-21. From microscopic theory to macroscopic theory: dynamics of the rod-like liquid crystal molecules. https://arxiv.org/abs/1305.4721

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