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表面序电极化、挠曲电极化与向列液晶盒饱和点的双稳态

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表面序电极化、挠曲电极化与向列液晶盒饱和点的双稳态

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The bistable state of a nematic liquid crystal cell with surface order-electricity polarization and flexoelectric polarization at saturation point

Guan Rong-Hua
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  • 理论分析和数值模拟相结合,研究了表面序电极化、挠曲电极化对非对称弱锚定向列液晶盒在饱和点双稳态的影响,得到了两种极化共存时液晶指向矢满足的方程和边界条件.通过引入新的状态参量,从能量的角度对两种极化的物理效应进行了分析.结果表明,在一定条件下,两种极化耦合,在饱和点通过改变锚定能影响边界条件,从而诱导双稳态.文中给出了判断是否存在双稳态的一般条件,此条件与数值计算结果符合.
    Using both numerical simulations and an analytical theory we study the influence of the surface order-electricity polarization and flexoelectric polarization on the bistable state of a non-xymmetric weak anchoring nematic liquid crystal cell at saturation point.The equilibrium equation and boundary condition of the director have been obtained when surface order-electricity polarization and flexoelectric polarization coexistence. By adopting a new state parameter, the physical effects caused by the two polarizations have been discussed from the energy point of view. The results show that the bistable state can be induced under certain condition and by changing the anchoring energy at saturation point. The condition for the bistable state existence is deduced and it accord well with the numerical results.
    [1]

    Tang X Z, Lu X H, Peng Z H, Liu Y G, Xuan L 2010 Acta Phys. Sin. 59 4001 (in Chinese) [唐先柱、卢兴海、彭增辉、刘永刚、宣 丽 2010 物理学报 59 4001]

    [2]

    Deng L G, Zhao Z L 2009 Acta Phys. Sin. 58 7773 (in Chinese) [邓罗根、赵找栗 2009 物理学报 58 7773]

    [3]

    Liu J J, Shen M, Liu X J, Yang G C 2006 Chin. Phys. 15 163

    [4]

    Rapini A., Papoular M 1969 J. Phys. (Paris) Colloq 30 C4-54

    [5]

    Yang G C, Zhang S J, Han L J, Guan R H 2004 Liq. Cryst. 31 1093

    [6]

    Barbero G., Madhusudana N V, Palierne J F 1983 Phys. Lett. A 103 385

    [7]

    Barbero G., Madhusudana N V, Durand G. Z 1983 Naturf. A 39 1066

    [8]

    Yang K H, Rosenblatt C 1982 Appl. Phys. Lett. 43 62

    [9]

    Yokoyama H, Van Sprang H A 1985 J. Appl. Phys. 57 4520

    [10]

    Warenghem M 1984 Mol.Phys. 53 1381

    [11]

    Barnik M I, Blinov L H, Korkishko T V 1983 Cryst. Liq. Cryst. 99 53

    [12]

    Yang K H, Rosenblatt C H 1983 Appl. Phys. Lett. 41 438

    [13]

    Yang K H 1983 J. Phys. (Fr) 44 1051

    [14]

    Barbero G., Durand G. 1986 J. Phys. (Fr) 46 2129

    [15]

    Barnik M I, Blinov L M, Korkishko T V, Umansky B A, Chigrinov V G 1983 Zh. Eksp. Teor. Fiz 85 176

    [16]

    Yang G C, Shi J R, Liang Y 2000 Liq. Cryst. 27 875

    [17]

    Sonin A 1995 The Surface Physics Of Liquid Crystal (Gorden and Breach Publisheders)

    [18]

    Stallinga S, Van Haaren J A M M, Van Den Erenbeemd J M A 1996 Phys. Rev. E 53 1701

    [19]

    Zhang S H, Han H L, Guan R H, Yang G C 2006 Liq. Cryst. 33 227

    [20]

    Barbero G and Durand G 1990 J. Appl. Phys. 67 2678

    [21]

    Yang G C, Guan R H, An H L 2003 Liq. Cryst. 30 997

    [22]

    Palto S P, Mottranm N J, Osipov M A 2007 Phys. Rev. E 78 061707

    [23]

    Meyer R B 1969 Phys. Rev. Lett. 22 918

    [24]

    Prost J, Marcerou J P 1977 J. Phys., Paris 38 315

    [25]

    Petrov A G, Derzhanski A 1977 Mol. Crysaals. 41 41

    [26]

    Barbero G., Dozov I, Palierne J F, Durand G. 1986 Phys. Rev. Lett. 56 2056

    [27]

    M Blinov L, Barnik M I, Ozaki M, Shtykov N M, Yoshino K 2000 Phys. Rev. E 62 8091

    [28]

    Zakharo A V, Dong Y 2001 Phys. Rev. E 64 042701

    [29]

    Nazarenko V G, Lavrentovich O D 1994 Phys.Rev. E 49 990

    [30]

    Frisken B J, Palffy-Muhoray P 1989 Phys. Rev. A 40 6099

  • [1]

    Tang X Z, Lu X H, Peng Z H, Liu Y G, Xuan L 2010 Acta Phys. Sin. 59 4001 (in Chinese) [唐先柱、卢兴海、彭增辉、刘永刚、宣 丽 2010 物理学报 59 4001]

    [2]

    Deng L G, Zhao Z L 2009 Acta Phys. Sin. 58 7773 (in Chinese) [邓罗根、赵找栗 2009 物理学报 58 7773]

    [3]

    Liu J J, Shen M, Liu X J, Yang G C 2006 Chin. Phys. 15 163

    [4]

    Rapini A., Papoular M 1969 J. Phys. (Paris) Colloq 30 C4-54

    [5]

    Yang G C, Zhang S J, Han L J, Guan R H 2004 Liq. Cryst. 31 1093

    [6]

    Barbero G., Madhusudana N V, Palierne J F 1983 Phys. Lett. A 103 385

    [7]

    Barbero G., Madhusudana N V, Durand G. Z 1983 Naturf. A 39 1066

    [8]

    Yang K H, Rosenblatt C 1982 Appl. Phys. Lett. 43 62

    [9]

    Yokoyama H, Van Sprang H A 1985 J. Appl. Phys. 57 4520

    [10]

    Warenghem M 1984 Mol.Phys. 53 1381

    [11]

    Barnik M I, Blinov L H, Korkishko T V 1983 Cryst. Liq. Cryst. 99 53

    [12]

    Yang K H, Rosenblatt C H 1983 Appl. Phys. Lett. 41 438

    [13]

    Yang K H 1983 J. Phys. (Fr) 44 1051

    [14]

    Barbero G., Durand G. 1986 J. Phys. (Fr) 46 2129

    [15]

    Barnik M I, Blinov L M, Korkishko T V, Umansky B A, Chigrinov V G 1983 Zh. Eksp. Teor. Fiz 85 176

    [16]

    Yang G C, Shi J R, Liang Y 2000 Liq. Cryst. 27 875

    [17]

    Sonin A 1995 The Surface Physics Of Liquid Crystal (Gorden and Breach Publisheders)

    [18]

    Stallinga S, Van Haaren J A M M, Van Den Erenbeemd J M A 1996 Phys. Rev. E 53 1701

    [19]

    Zhang S H, Han H L, Guan R H, Yang G C 2006 Liq. Cryst. 33 227

    [20]

    Barbero G and Durand G 1990 J. Appl. Phys. 67 2678

    [21]

    Yang G C, Guan R H, An H L 2003 Liq. Cryst. 30 997

    [22]

    Palto S P, Mottranm N J, Osipov M A 2007 Phys. Rev. E 78 061707

    [23]

    Meyer R B 1969 Phys. Rev. Lett. 22 918

    [24]

    Prost J, Marcerou J P 1977 J. Phys., Paris 38 315

    [25]

    Petrov A G, Derzhanski A 1977 Mol. Crysaals. 41 41

    [26]

    Barbero G., Dozov I, Palierne J F, Durand G. 1986 Phys. Rev. Lett. 56 2056

    [27]

    M Blinov L, Barnik M I, Ozaki M, Shtykov N M, Yoshino K 2000 Phys. Rev. E 62 8091

    [28]

    Zakharo A V, Dong Y 2001 Phys. Rev. E 64 042701

    [29]

    Nazarenko V G, Lavrentovich O D 1994 Phys.Rev. E 49 990

    [30]

    Frisken B J, Palffy-Muhoray P 1989 Phys. Rev. A 40 6099

计量
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  • PDF下载量:  628
  • 被引次数: 0
出版历程
  • 收稿日期:  2010-06-30
  • 修回日期:  2010-09-16
  • 刊出日期:  2011-01-15

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