Electro-osmosis in nematic liquid crystals

We derive a mathematical model of a nematic electrolyte based on a variational formulation of nematodynamics. We verify the model by comparing its predictions to the results of the experiments on the substrate-controlled liquid-crystal-enabled electrokinetics. In the experiments, a nematic liquid cr...

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Bibliographic Details
Published in:Physical review. E 2016-07, Vol.94 (1-1), p.012702-012702, Article 012702
Main Authors: Tovkach, O M, Calderer, M Carme, Golovaty, Dmitry, Lavrentovich, Oleg, Walkington, Noel J
Format: Article
Language:English
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Summary:We derive a mathematical model of a nematic electrolyte based on a variational formulation of nematodynamics. We verify the model by comparing its predictions to the results of the experiments on the substrate-controlled liquid-crystal-enabled electrokinetics. In the experiments, a nematic liquid crystal confined to a thin planar cell with surface-patterned anchoring conditions exhibits electro-osmotic flows along the "guiding rails" imposed by the spatially varying director. Extending our previous work, we consider a general setup which incorporates dielectric anisotropy of the liquid-crystalline matrix and the full set of nematic viscosities.
ISSN:2470-0045
2470-0053
DOI:10.1103/PhysRevE.94.012702