24 April 1995 Surface-like elastic constant problem and axial structure stability in nematic liquid crystal (NLC) confined to cylindrical pore
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Abstract
In this paper we consider nematic liquid crystal (NLC) confined to a cylindrical cavity under the anchoring conditions of various type. The influence of the saddle-splay and splay-bend terms (the K24-term and the K13-term) on the axial director configuration stability is investigated. By using the Fourier expansion of director fluctuations over azimuth angle our analytical method of attack enables the stability conditions to be found in terms of the stability to each fluctuation mode. Two ways to stabilize the structure are explored: the stabilization by magnetic field and by the action of the boundary conditions. We get the restrictions imposed on the constant values to make the stabilization possible. The dependence of the resultant stability threshold on the surfacelike elastic constant values is calculated. We discuss in detail experimentally detectable effects due to the presence of the K13-term. It is shown that the escaped-radial director structure exhibits some special features induced by the K13-term.
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Alexei D. Kiselev, Victor Yu. Reshetnyak, "Surface-like elastic constant problem and axial structure stability in nematic liquid crystal (NLC) confined to cylindrical pore", Proc. SPIE 2408, Liquid Crystal Materials, Devices, and Displays, (24 April 1995); doi: 10.1117/12.207511; https://doi.org/10.1117/12.207511
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