Anchoring energy effects: configuration and phase transitions in a nematic liquid crystal confined to a small cylindrical cavity

Alexei D. Kiselev; Victor Yu. Reshetnyak

doi:10.1117/12.131317

27 October 1992 Anchoring energy effects: configuration and phase transitions in a nematic liquid crystal confined to a small cylindrical cavity

Alexei D. Kiselev, Victor Yu. Reshetnyak

Author Affiliations +

Proceedings Volume 1815, Display Technologies; (1992) https://doi.org/10.1117/12.131317
Event: International Symposium on Optoelectronics in Computers, Communications, and Control, 1992, Hsinchu, Taiwan

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. It is found the shift of phase transition temperature, the width of instability region. The residual orders are different in these cases.

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Alexei D. Kiselev and Victor Yu. Reshetnyak "Anchoring energy effects: configuration and phase transitions in a nematic liquid crystal confined to a small cylindrical cavity", Proc. SPIE 1815, Display Technologies, (27 October 1992); https://doi.org/10.1117/12.131317

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