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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.
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Keywords:
- surface order-electricity polarization /
- flexoelectric polarization /
- saturation point /
- bistable state
[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 59 4001]
[2] Deng L G, Zhao Z L 2009 Acta Phys. Sin. 58 7773 (in Chinese) [邓罗根、赵找栗 2009 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
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[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 59 4001]
[2] Deng L G, Zhao Z L 2009 Acta Phys. Sin. 58 7773 (in Chinese) [邓罗根、赵找栗 2009 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
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