title: Electro-osmosis in nematic liquid crystals.
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.
authors: Department of Mathematics, The University of Akron, Akron, Ohio 44325, USA.|Bogolyubov Institute for Theoretical Physics, NAS of Ukraine, Metrologichna 14-b, Kyiv 03680, Ukraine.
authors: O M
authors: OM
authors: Tovkach
authors: School of Mathematics, University of Minnesota, Minneapolis, Minnesota 55455, USA.
authors: M Carme
authors: MC
authors: Calderer
authors: Department of Mathematics, The University of Akron, Akron, Ohio 44325, USA.
authors: Dmitry
authors: D
authors: Golovaty
authors: Liquid Crystal Institute, Kent State University, Kent, Ohio 44242, USA.
authors: Oleg
authors: O
authors: Lavrentovich
authors: Department of Mathematical Sciences, Carnegie Mellon University, Pittsburgh, Pennsylvania 15213, USA.
authors: Noel J
authors: NJ
authors: Walkington