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) |
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Article number | 012702 |
Journal | Physical Review E |
Volume | 94 |
Issue number | 1 |
DOIs | |
State | Published - Jul 5 2016 |
Bibliographical note
Publisher Copyright:© 2016 American Physical Society.