Dynamics of a ± 1/2 defect pair in a confined geometry: A thin hybrid aligned nematic cell

doi:10.1088/1674-1056/24/2/026102

›› 2015, Vol. 24 ›› Issue (2): 26102-026102.doi: 10.1088/1674-1056/24/2/026102

• CONDENSED MATTER: STRUCTURAL, MECHANICAL, AND THERMAL PROPERTIES • 上一篇下一篇

Dynamics of a ± 1/2 defect pair in a confined geometry: A thin hybrid aligned nematic cell

路丽霞^{a b c}, 张志东^c

a Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun 130033, China;
b University of Chinese Academy of Sciences, Beijing 100049, China;
c School of Science, Hebei University of Technology, Tianjin 300401, China

收稿日期:2014-06-25 修回日期:2014-09-11 出版日期:2015-02-05 发布日期:2015-02-05
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 11374087) and the Key Subject Construction Project of Hebei Province University.

Dynamics of a ± 1/2 defect pair in a confined geometry: A thin hybrid aligned nematic cell

Lu Li-Xia (路丽霞)^{a b c}, Zhang Zhi-Dong (张志东)^c

a Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun 130033, China;
b University of Chinese Academy of Sciences, Beijing 100049, China;
c School of Science, Hebei University of Technology, Tianjin 300401, China

Received:2014-06-25 Revised:2014-09-11 Online:2015-02-05 Published:2015-02-05
Contact: Zhang Zhi-Dong E-mail:zhidong_zhang1961@163.com
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 11374087) and the Key Subject Construction Project of Hebei Province University.

摘要/Abstract

摘要： Confined geometry can change the defect structure and its properties. In this paper, we investigate numerically the dynamics of a dipole of ± 1/2 parallel wedge disclination lines in a confined geometry: a thin hybrid aligned nematic (HAN) cell, based on the Landau-de Gennes theory. When the cell gap d is larger than a critical value of 12ζ (where ζ is the characteristic length for order-parameter change), the pair annihilates. A pure HAN configuration without defect is formed in an equilibrium state. In the confined geometry of d ≤ 12ζ, the diffusion process is discovered for the first time and an eigenvalue exchange configuration is formed in an equilibrium state. The eigenvalue exchange configuration is induced by different essential reasons. When 10ζ <d ≤ 12ζ, the two defects coalesce and annihilate. The biaxial wall is created by the inhomogeneous distortion of the director, which results in the eigenvalue exchange configuration. When d ≤ 10ζ, the defects do not collide and the eigenvalue exchange configuration originates from the biaxial seeds concentrated at the defects.

关键词: ±, 1/2 defect pair, dynamics, eigenvalue exchange configuration, confined geometry

Abstract: Confined geometry can change the defect structure and its properties. In this paper, we investigate numerically the dynamics of a dipole of ± 1/2 parallel wedge disclination lines in a confined geometry: a thin hybrid aligned nematic (HAN) cell, based on the Landau-de Gennes theory. When the cell gap d is larger than a critical value of 12ζ (where ζ is the characteristic length for order-parameter change), the pair annihilates. A pure HAN configuration without defect is formed in an equilibrium state. In the confined geometry of d ≤ 12ζ, the diffusion process is discovered for the first time and an eigenvalue exchange configuration is formed in an equilibrium state. The eigenvalue exchange configuration is induced by different essential reasons. When 10ζ <d ≤ 12ζ, the two defects coalesce and annihilate. The biaxial wall is created by the inhomogeneous distortion of the director, which results in the eigenvalue exchange configuration. When d ≤ 10ζ, the defects do not collide and the eigenvalue exchange configuration originates from the biaxial seeds concentrated at the defects.

Key words: ±, 1/2 defect pair, dynamics, eigenvalue exchange configuration, confined geometry

中图分类号: (Defects in liquid crystals)

61.30.Jf

64.70.qj (Dynamics and criticality) 61.20.Ja (Computer simulation of liquid structure) 61.30.Hn (Surface phenomena: alignment, anchoring, anchoring transitions, surface-induced layering, surface-induced ordering, wetting, prewetting transitions, and wetting transitions)

路丽霞, 张志东. Dynamics of a ± 1/2 defect pair in a confined geometry: A thin hybrid aligned nematic cell[J]. , 2015, 24(2): 26102-026102.

Lu Li-Xia (路丽霞), Zhang Zhi-Dong (张志东). Dynamics of a ± 1/2 defect pair in a confined geometry: A thin hybrid aligned nematic cell[J]. Chin. Phys. B, 2015, 24(2): 26102-026102.

参考文献 46

[1]	CarboneG, Lombardo G, Barberi R, Musevic I and Tkalec U 2009 Phys. Rev. Lett. 103 167801
[2]	Kurik M V and Lavrentovich O D 1988 Sov. Phy. Usp. 31 196
[3]	Tiribocchi A, Gonnella G, Marenduzzo D and Orlandini E 2010 Appl. Phys. Lett. 97 143505
[4]	Mermin N D 1979 Rev. Mod. Phys. 51 591
[5]	Takuya O and Junichi F 2012 Nat. Commun. 3 701
[6]	Ohzono T, Fukuda J I, Suzuki K and Yamaguchi T 2012 Phys. Rev. E 86 030701
[7]	Nelson D R 2002 Nano Lett. 2 1125
[8]	Tkalec U, Ravnik M, Čopar S, Žumer S and Muševič I 2011 Science 333 62
[9]	Ravnik M, Alexander G P, Yeomans J M and Žumer S 2011 Natl. Acad. Sci. USA 108 5188
[10]	Voloschenko D, Pishnyak O P, Shiyanovskii S V and Lavrentovich O D 2002 Phys. Rev. E 65 060701(R)
[11]	Pires D, Fleury J B and Galerne Y 2007 Phys. Rev. Lett. 98 247801
[12]	Fleury J B, Pires D and Galerne Y 2009 Phys. Rev. Lett. 103 267801
[13]	Yoon D K, Choi M C, Kim Y H, Kim M W, Lavrentovich O D and Jung H T 2007 Nat. Mater. 6 866
[14]	Milette J, Cowling S J, Toader V, Lavigne C, Saez I M, Lennox R B, Goodby J W and Reven L 2012 Soft Matter 8 173
[15]	Coursault D, Grand J, Zappone B, Ayeb H, Lévi G, Félidj N and Lacaze E 2012 Adv. Mater. 24 1461
[16]	Bisi F, Virga E G and Durand G E 2004 Phys. Rev. E 70 042701
[17]	Ambrožič M, Kralj S and Virga E G 2007 Phys. Rev. E 75 031708
[18]	Lu L X, Zhang Z D and Zhou X 2013 Acta Phys. Sin. 62 226101 (in Chinese)
[19]	Zhou X and Zhang Z D 2013 Int. J. Mol. Sci. 14 24135
[20]	Gennes P G and Prost J 2008 The Physics of Liquid Crystals, 2nd edn. (Beijing: Science Press) p. 166
[21]	Minoura K, Kimura Y, Ito K, Hayakawa R and Miura T 1998 Phys. Rev. E 58 643
[22]	Bogi A, Martinot-Lagarde P, Dozov I and Nobili M 2002 Phys. Rev. Lett. 89 225501
[23]	Shiwaku T, Nakai A, Hasegawa H and Hashimoto T 1990 Macromolecules 23 1590
[24]	Chuang I, Turok N and Yurke B 1991 Phys. Rev. Lett. 66 2472
[25]	Pargellis A, Turok N and Yurke B 1991 Phys. Rev. Lett. 67 1570
[26]	Pargellis A N, Finn P, Goodby J W, Panizza P, Yurke B and Cladis P E 1992 Phys. Rev. A 46 7765
[27]	Chuang I, Yurke B, Pargellis A N and Turok N 1993 Phys. Rev. E 47 3343
[28]	Ding D K and Thomas E L 1994 Mol. Cryst. Liq. Cryst. 241 103
[29]	Pargellis A N, Mendez J, Srinivasarao M and Yurke B 1996 Phys. Rev. E 53 R25
[30]	Minoura K, Kimura Y, Ito K and Hayakawa R 1997 Mol. Cryst. Liq. Cryst. 302 345
[31]	Wang W, Shiwaku T and Hashimoto T 1998 J. Chem. Phys. 108 1618
[32]	Svensek D and Žumer S 2002 Phys. Rev. E 66 021712
[33]	Tóth G, Denniston C and Yeomans J M 2002 Phys. Rev. Lett. 88 105504
[34]	Bradač Z, Kralj S, Svetec M and Žumer S 2003 Phys. Rev. E 67 050702(R)
[35]	Dierking I, Marshall O, Wright J and Bulleid N 2005 Phys. Rev. E 71 061709
[36]	Svetec M, Kralj S, Bradac Z and Žumer S 2006 Eur. Phys. J. E 20 71
[37]	Guimarães R R, Mendes R S, Fernandes P R G and Mukai H 2013 J. Phys.: Condens. Matter 25 404203
[38]	Giomi L, Bowick M J, Ma X and Marchetti M C 2013 Phys. Rev. Lett. 110 228101
[39]	Ribeiro H V, Guimarães R R, Teixeira-Souza R T, Mukai H, Fernandes P R G, Lenzi E K and Mendes R S 2013 Phys. Rev. E 87 054501
[40]	Bajc J, Peroli G G, Virga E G and Žumer S 2002 Liquid Cryst. 29 213
[41]	Bisi F, Gartland E C, Rosso R and Virga E G 2003 Phys. Rev. E 68 021707
[42]	Barberi R, Ciuchi F, Durand G, Iovane M, Sikharulidze D, Sonnet A and Virga E 2004 Eur. Phys. J. E 13 61
[43]	Lombardo G, Ayeb H and Barberi R 2008 Phys. Rev. E 77 051708
[44]	Schopohl N and Sluckin T J 1987 Phys. Rev. Lett. 59 2582
[45]	Qian T Z and Sheng P 1997 Phys. Rev. E 55 7111
[46]	Gennes P G and Prost J 2008 The Physics of Liquid Crystals, 2nd edn. (Beijing: Science Press) p. 165

Dynamics of a ± 1/2 defect pair in a confined geometry: A thin hybrid aligned nematic cell

Dynamics of a ± 1/2 defect pair in a confined geometry: A thin hybrid aligned nematic cell

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