Yu-ke CHANG, Yan-jun ZHANG, Wen-jiang YE. Flexoelectric effect of hybrid aligned nematic liquid crystals in concentric cylinders[J]. Chinese journal of liquid crystals and displays, 2018, 33(12): 1002-1007.
DOI:
Yu-ke CHANG, Yan-jun ZHANG, Wen-jiang YE. Flexoelectric effect of hybrid aligned nematic liquid crystals in concentric cylinders[J]. Chinese journal of liquid crystals and displays, 2018, 33(12): 1002-1007. DOI: 10.3788/YJYXS20183312.1002.
Flexoelectric effect of hybrid aligned nematic liquid crystals in concentric cylinders
The director distribution of the hybrid aligned nematic liquid crystal in concentric cylinders under a radial electric field is studied. The influence of the flexoelectric effect on director distribution is mainly studied. The nematic liquid crystals are in the thin layer of concentric cylinders
in which the radial anchoring of the inner surface and the axial anchoring of the external surface
or the axial anchoring of the inner surface and the radial anchoring of the external surface constitute two hybrid aligned nematic liquid crystals models. Based on the Frank elastic theory of nematic liquid crystal
the influence of the flexoelectric effect on the director distribution in the two models is studied under the strong anchoring and weak anchoring boundary conditions by the finite-difference iterative method. The study shows that the influence of the flexoelectric effect on the director distribution is different in the inner boundary
the outer boundary and the thin layer
and that the director distribution in the thin layer is determined by the comprehensive effect of cylindrical symmetry
YANG F Z. New directions in recent liquid crystal studies——the progress in foundational research of non-display application of liquid crystals[J]. Progress in Physics, 2008, 28(2):107-129. (in Chinese)
DZYALOSHINSKI I E. Theory of disinclinations in liquid crystals[J]. Soviet Journal of Experimental and Theoretical Physics, 1970, 31:773-780.
CLADIS P E, KLÉMAN M. Non-singular disclinations of strength S=+1 in nematics[J]. Journal de Physique, 1972, 33(5/6):591-598.
LANDAU L D, LIFSHITZ E M. Theory of Elasticity:Course of Theoretical Physics[M]. 3rd ed. New York:Pergamon Press, 1986:1385.
ALLENDER D W, CRAWFORD G P, DOANE J W. Determination of the liquid-crystal surface elastic constant K 24 [J]. Physical Review Letters, 1991, 67(11):1442-1445.
CRAWFORD G P, ALLENDER D W, DOANE J W. Surface elastic and molecular-anchoring properties of nematic liquid crystals confined to cylindrical cavities[J]. Physical Review A, 1992, 45(12):8693-8708.
KRALJ S, ŽUMER S. Saddle-splay elasticity of nematic structures confined to a cylindrical capillary[J]. Physical Review E, 1995, 51(1):366-379.
BURYLOV S V. Equilibrium configuration of a nematic liquid crystal confined to a cylindrical cavity[J]. Journal of Experimental and Theoretical Physics, 1997, 85(5):873-886.
LIU H H, ZHANG Y J. Director distributions of nematic liquid crystals in hybrid arrangement cylindrical cells[J]. Chinese Journal of Liquid Crystals and Displays, 2017, 32(1):13-18. (in Chinese)
CORELLA-MADUEÑO A, REYES J A. Electrically controlled liquid crystal fiber[J]. Optics Communications, 2006, 264(1):148-155.
CORELLA-MADUEÑO A, CASTELLANOS-MORENO A, GUTIÉRREZ-LÍPEZ S, et al. Threshold field for a nematic liquid crystal confined between two coaxial cylinders[J]. Physical Review E, 2008, 78(2):022701.
DESOUZA R T, DIAS J C, MENDES R S, et al. Critical exponents for Fréedericskz transition in nematics between concentric cylinders[J]. Physica A:Statistical Mechanics and Its Applications, 2010, 389(5):945-950.
MEYER R B. Piezoelectric effects in liquid crystals[J]. Physical Review Letters, 1969, 22(18):918-921.
ZHEND G L, ZHANG H, YE W J, et al. Determination of the flexoelectric coefficient in liquid crystal using fully-leaky optical guided wave technique[J]. Acta Photonica Sinica, 2014, 43(12):51-55. (in Chinese)
ZHANG J, ZHOU X, CHEN S B, et al. Theoretical study of flexoelectric effect and spontaneous distortion in domain walls within nematic liquid crystal system[J]. Chinese Journal of Liquid Crystals & Displays, 2018, 33(1):1-13. (in Chinese)
KOTOV I V, KHAZIMULLIN M V, KREKHOV A P. Flexoelectric instability in nematic liquid crystal between coaxial cylinders[J]. Molecular Crystals and Liquid Crystals Science and Technology. Section A. Molecular Crystals and Liquid Crystals, 2001, 366(1):885-892.
FRANK F C. I. Liquid crystals. On the theory of liquid crystals[J]. Discussions of the Faraday Society, 1958, 25(25):19-28.
RAPINI A, PAPOULAR M. Distortion d'une lamelle nématique sous champ magnétique conditions d'ancrage aux parois[J]. Journal de Physique Colloques, 1969, 30(C4):54-56.
LIU H H, ZHANG Y J, YUE H R, et al. Influence of flexoelectric effect on director alignment of nematic liquid crystals in axial arrangement cylindrical cells[J]. Chinese Physics Letters, 2018, 35(2):026103.