13 August 1993 Anchoring energy effects: configuration and phase transitions in a nematic liquid crystal confined to a small cylindrical cavity
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Abstract
In this paper we study the anchoring energy effects in the nematic liquid crystal confined to a submicron cylindrical cavity. Under the perpendicular anchoring conditions and (2K24 + WR)/K11 <2 it is shown that uniform axial director configuration becomes unstable. In this case the configuration transition occurs. We have obtained the transition threshold dependence on the uniform electric field applied along the cylindrical axis. The stability of the axial director alignment as a function of cavity radius is considered. Taking into account contributions from both the elastic energy and the surface anchoring energy we discuss some results of Landau- de Gennes theory for the uniformly distributed order parameter. Two cases are explored: W is proportional to S and to S2 respectively. The order parameter and heat capacity dependencies on the temperature are calculated.
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Alexei D. Kiselev, Alexei D. Kiselev, Victor Yu. Reshetnyak, Victor Yu. Reshetnyak, "Anchoring energy effects: configuration and phase transitions in a nematic liquid crystal confined to a small cylindrical cavity", Proc. SPIE 1911, Liquid Crystal Materials, Devices, and Applications II, (13 August 1993); doi: 10.1117/12.151207; https://doi.org/10.1117/12.151207
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