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基于Landau-de Gennes理论, 利用松弛迭代法, 研究了混合排列向列相液晶薄盒中1/2向错引起的有序重构的扩散现象, 给出了1/2向错的核结构、双轴性结构, 以及盒厚减小时有序重构的扩散. 当盒厚小于15时, 随着盒厚的减小, 向错范围和有序重构区域沿基板方向迅速扩散; 当盒厚减小到临界厚度10时, 有序重构的范围扩散到整个液晶盒中, 以向错中心所对应的平面为界, 指向矢一部分垂面排列, 另一部分沿面排列. 本文的研究对拓扑缺陷对向列相液晶中的亚微米胶体粒子的调节作用具有一定的理论指导意义.
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关键词:
- 混合排列向列相液晶薄盒 /
- 1/2向错 /
- 有序重构扩散 /
- 松弛迭代法
Based on the Landau-de Gennes theory, the diffusion of order reconstruction induced by 1/2 wedge disclination in a thin hybrid cell is investigated by the relaxation iterative method. The core structure, the biaxial structure, and the diffusion of order reconstruction as the cell thickness decreases, are explored. The defect structure and the range of order reconstruction do not change when the cell thickness is larger than 15. As the thickness decreases from 15, the defect range broadens along the substrate direction, and the biaxial region as well as the range of order reconstruction also enlarges. When the thickness further decreases to below the critical value of 10, the biaxial region and the order reconstruction range merge into an entire cell, where the planar orientation is abruptly converted into the perpendicular one across the biaxial wall. The results obtained in this paper are important for further studying the regulating effect of topological defect on submicron colloidal particles in nematics.-
Keywords:
- thin hybrid nematic liquid-crystal cell /
- 1/2 wedge disclination /
- diffusion of order reconstruction /
- relaxation iterative method
[1] Guo J C, Guo H C 2000 Acta Phys. Sin. 49 1995 (in Chinese) [郭建成, 郭海成 2000 49 1995]
[2] Deng S P, Li W C, Huang W B, Liu Y G, Peng Z H, Lu X H, Xuan L 2011 Acta Phys. Sin. 60 066103 (in Chinese) [邓舒鹏, 李文萃, 黄文彬, 刘永刚, 彭增辉, 鲁兴海, 宣丽 2011 60 066103]
[3] Dai Q, Li Y, Wu R N, Geng Y, Quan W, Li Y Q, Peng Z H, Yao L S 2013 Acta Phys. Sin. 62 044219 (in Chinese) [岱钦, 李勇, 乌日娜, 耿岳, 全薇, 李业秋, 彭增辉, 姚丽双 2013 62 044219]
[4] Kurik M V, Lavrentovich O D 1988 Sov. Phy. Usp. 31 196
[5] Takuya O, Jun-ichi F, Kosuke S, Tomohiko Y 2012 Phys. Rev. E 86 030701(R)
[6] Reichenstein M, Stark H, Stelzer J, Trebin H R 2001 Phys. Rev. E 65 011709
[7] Tiribocchi A, Gonnella G, Marenduzzo D, Orlandini E 2010 Appl. Phys. Lett. 97 143505
[8] Mermin N D 1979 Rev. Mod. Phys. 51 591
[9] Yang G H, Zhang H, Duan Y S 2002 Chin. Phys. 11 415
[10] Gennes P G, Prost J 2008 The Physics of Liquid Crystals (2nd Ed.) (Beijing: Science Press) p166, 171, 165
[11] Schopohl N, Sluckin T J 1987 Phys. Rev. Lett. 59 2582
[12] Palffy-Muhoray P, Gartland E C, Kelly J R 1994 Liq. Cryst. 16 713
[13] Kralj S, Virga E G 2001 J. Phys. A 34 829
[14] Rosso R, Virga E G 1996 J. Phys. A 29 4247
[15] Kralj S, Virga E G, Žumer S 1999 Phys. Rev. E 60 1858
[16] Ambrožič M, Kralj S, Virga E G 2007 Phys. Rev. E 75 031708
[17] Barberi R, Ciuchi F, Durand G, Iovane M, Sikharulidze D, Sonnet A, Virga E 2004 Eur. Phys. J. E 13 61
[18] Kralj S, Rosso R, Virga E G 2010 Phys. Rev. E 81 021702
[19] Martinot-Lagarde P, Dreyfus-Lambez H, Dozov I, 2003 Phys. Rev. E 67 051710
[20] Carbone G, Lombardo G, Barberi R 2009 Phys. Rev. Lett. 103 167801
[21] Zappone B, Richetti P, Barberi R, Bartolino R, Nguyen H T 2005 Phys. Rev. E 71 041703
[22] Ayeb H, Ciuchi F, Lombardo G, Barberi R 2008 Mol. Cryst. Liq. Cryst. 481 73
[23] Bisi F, Gartland E C, Rosso R, Virga E G 2003 Phys. Rev. E 68 021707
[24] Lombardo G, Ayeb H, Barberi R 2008 Phys. Rev. E 77 051708
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[1] Guo J C, Guo H C 2000 Acta Phys. Sin. 49 1995 (in Chinese) [郭建成, 郭海成 2000 49 1995]
[2] Deng S P, Li W C, Huang W B, Liu Y G, Peng Z H, Lu X H, Xuan L 2011 Acta Phys. Sin. 60 066103 (in Chinese) [邓舒鹏, 李文萃, 黄文彬, 刘永刚, 彭增辉, 鲁兴海, 宣丽 2011 60 066103]
[3] Dai Q, Li Y, Wu R N, Geng Y, Quan W, Li Y Q, Peng Z H, Yao L S 2013 Acta Phys. Sin. 62 044219 (in Chinese) [岱钦, 李勇, 乌日娜, 耿岳, 全薇, 李业秋, 彭增辉, 姚丽双 2013 62 044219]
[4] Kurik M V, Lavrentovich O D 1988 Sov. Phy. Usp. 31 196
[5] Takuya O, Jun-ichi F, Kosuke S, Tomohiko Y 2012 Phys. Rev. E 86 030701(R)
[6] Reichenstein M, Stark H, Stelzer J, Trebin H R 2001 Phys. Rev. E 65 011709
[7] Tiribocchi A, Gonnella G, Marenduzzo D, Orlandini E 2010 Appl. Phys. Lett. 97 143505
[8] Mermin N D 1979 Rev. Mod. Phys. 51 591
[9] Yang G H, Zhang H, Duan Y S 2002 Chin. Phys. 11 415
[10] Gennes P G, Prost J 2008 The Physics of Liquid Crystals (2nd Ed.) (Beijing: Science Press) p166, 171, 165
[11] Schopohl N, Sluckin T J 1987 Phys. Rev. Lett. 59 2582
[12] Palffy-Muhoray P, Gartland E C, Kelly J R 1994 Liq. Cryst. 16 713
[13] Kralj S, Virga E G 2001 J. Phys. A 34 829
[14] Rosso R, Virga E G 1996 J. Phys. A 29 4247
[15] Kralj S, Virga E G, Žumer S 1999 Phys. Rev. E 60 1858
[16] Ambrožič M, Kralj S, Virga E G 2007 Phys. Rev. E 75 031708
[17] Barberi R, Ciuchi F, Durand G, Iovane M, Sikharulidze D, Sonnet A, Virga E 2004 Eur. Phys. J. E 13 61
[18] Kralj S, Rosso R, Virga E G 2010 Phys. Rev. E 81 021702
[19] Martinot-Lagarde P, Dreyfus-Lambez H, Dozov I, 2003 Phys. Rev. E 67 051710
[20] Carbone G, Lombardo G, Barberi R 2009 Phys. Rev. Lett. 103 167801
[21] Zappone B, Richetti P, Barberi R, Bartolino R, Nguyen H T 2005 Phys. Rev. E 71 041703
[22] Ayeb H, Ciuchi F, Lombardo G, Barberi R 2008 Mol. Cryst. Liq. Cryst. 481 73
[23] Bisi F, Gartland E C, Rosso R, Virga E G 2003 Phys. Rev. E 68 021707
[24] Lombardo G, Ayeb H, Barberi R 2008 Phys. Rev. E 77 051708
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