PMID: 11308505Apr 20, 2001Paper

Structure of spontaneous periodic deformations in hybrid aligned nematic layers

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
D Krzyzański, Grzegorz Derfel

Abstract

Periodic deformations, arising spontaneously in hybrid nematic layers were investigated numerically. So called splay stripes, which appear when the surface anchoring energy of the planar alignment was greater than that of the homeotropic alignment, were considered. Conical degeneration of the anchoring is assumed. The role of the layer thickness d and the anchoring strength W was studied by means of the dimensionless control parameter gamma=Wd/k(11) defined for each boundary. The saddle-splay elastic constant k(24) was varied within the limits given by general Ericksen inequalities. The director distributions were calculated. Two structures with different properties were distinguished: one for k(24)<0 (mode 1) and the other for k(24)>0 (mode 2). For given nematic liquid crystal parameters, mode 1 existed when gamma exceeds some critical value. Below this critical gamma, the director distortion decayed and the spatial period simultaneously diverged to infinity. As a result mode 1 disappeared and the homogeneously planar orientation was realized. The width of the stripes also increased infinitely for high gamma. No upper limit of the gamma range in which mode 1 could exist was found. Mode 2 existed for gamma ranging from 0 to a c...Continue Reading

References

Oct 1, 1984·Journal of the Optical Society of America. A, Optics and Image Science·B Crosignani, A Yariv
Mar 1, 1993·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·V M Pergamenshchik
Aug 15, 1994·Physical Review Letters·O D Lavrentovich, V M Pergamenshchik
Nov 23, 2000·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·D Krzyzański, G Derfel

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Citations

Jul 13, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·J P BedelM F Achard
Aug 25, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Riccardo RossoSamo Kralj
Aug 13, 2009·The Journal of Physical Chemistry. B·U DelabreA M Cazabat

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