Electro-osmosis in nematic liquid crystals

O. M. Tovkach; M. Carme Calderer; Dmitry Golovaty; Oleg Lavrentovich; Noel J. Walkington

doi:10.1103/PhysRevE.94.012702

Electro-osmosis in nematic liquid crystals

O. M. Tovkach, M. Carme Calderer, Dmitry Golovaty, Oleg Lavrentovich, Noel J. Walkington

Mathematics

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

Abstract

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.

Original language	English (US)
Article number	012702
Journal	Physical Review E
Volume	94
Issue number	1
DOIs	https://doi.org/10.1103/PhysRevE.94.012702
State	Published - Jul 5 2016

Bibliographical note

Funding Information:
Support from the following National Science Foundation Grants is acknowledged by the authors: No. DMS-1434969 (D.G. and O.M.T.), No. DMS-1435372 (M.C.C.), No. DMS-1434185 (O.L.), No. DMS-1434734 (N.J.W.), and No. DMS-1418991 (N.J.W.).

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abstract = "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.",

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AU - Golovaty, Dmitry

AU - Lavrentovich, Oleg

AU - Walkington, Noel J.

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