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- W2065245103 abstract "In this paper we study theoretically the equilibrium configurations of two-dimensional nematic liquid crystals on a cylindrical surface. Configurations are described through a tensor-order parameter that provides information about the tangential optical axis and the dispersion of the molecules around it. Equilibrium equations are obtained by the surface Landau–de Gennes energy recently proposed in Napoli and Vergori [Physical Review E 061701 (2012)]. We show that, whenever free boundary conditions are applied, the extrinsic curvature induces the alignment of the optical axis along the cylinder axis. On the contrary, when strong planar anchoring is imposed on the boundaries, the curvature triggers a sort of Freedricksz-like transition in the alignment. We provide the asymptotic solution of the non-linear problem with strong planar anchoring boundary conditions for elongated cylindrical shells." @default.
- W2065245103 created "2016-06-24" @default.
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- W2065245103 date "2013-03-01" @default.
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- W2065245103 title "Curvature-induced ordering in cylindrical nematic shells" @default.
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- W2065245103 doi "https://doi.org/10.1016/j.ijnonlinmec.2012.09.007" @default.
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