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In the usual continuum theory the simple dynamic model is considered for an approximate description director transitions in a nematic layer. Influence of all the director pretilt, the anchoring, and the viscosity at surfaces on the director configuration can be investigated using this model.
Valery I. Tsoi
"Simple approximation for director configurations affected by surfaces", Proc. SPIE 2731, International Liquid Crystal Workshop on Surface Phenomena, (19 January 1996); https://doi.org/10.1117/12.230671
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Valery I. Tsoi, "Simple approximation for director configurations affected by surfaces," Proc. SPIE 2731, International Liquid Crystal Workshop on Surface Phenomena, (19 January 1996); https://doi.org/10.1117/12.230671