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arxiv: 1305.4721 · v1 · pith:WZT2EP3Ynew · submitted 2013-05-21 · 🧮 math.AP

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

Wei Wang , Pingwen Zhang , Zhifei Zhang This is my paper
classification 🧮 math.AP
keywords equationcrystalderiveliquidq-tensortheorybinghamclosure
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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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