Please wait a minute...
Chin. Phys. B, 2008, Vol. 17(7): 2600-2609    DOI: 10.1088/1674-1056/17/7/043
CONDENSED MATTER: STRUCTURAL, MECHANICAL, AND THERMAL PROPERTIES Prev   Next  

Solitons and defects in nematic liquid crystals under a simple shear flow and in a static external magnetic field

Luo Kai-Fu(罗开富), Jiang Xiu-Li(蒋秀丽), and Yang Yu-Liang(杨玉良)
Department of Macromolecular Science, Key Laboratory of Molecular Engineering of Polymers of State Ministry Education, Fudan University, Shanghai 200433, China
Abstract  Under a simple shear flow and in a static external magnetic field, the production of defects in the director-aligning regime of nematic liquid crystals has been investigated in terms of the Leslie--Ericksen theory. The equation of motion of the nematic director, which conforms to the driven over-damped sine-Gordon equation, has a soliton solution of the amplitude $\pi$. We show that the stationary state with the director uniformly oriented at a Leslie angle is only a metastable state and the potential, which governs the motion of the director, has a number of stable stationary states. For a strong magnetic field, the higher energy barrier between the stable and unstable states leads the director to be locked along the magnetic field direction. However, at the appropriate shear rate and magnetic field the defects, which appear as a stable solitary solution, can be nucleated from a uniformly aligned nematic liquid crystal. We have calculated the stationary travelling velocity of the solitary waves and the distance between a pair of defects.
Keywords:  liquid crystals      defects      solitons  
Received:  11 September 2007      Revised:  03 March 2008      Accepted manuscript online: 
PACS:  61.30.Jf (Defects in liquid crystals)  
  61.30.Dk (Continuum models and theories of liquid crystal structure)  
Fund: Project supported by the National Natural Science Foundation of China (Grant No 29874011) and State Basic Research Program of China (Grant No 1999064800).

Cite this article: 

Luo Kai-Fu(罗开富), Jiang Xiu-Li(蒋秀丽), and Yang Yu-Liang(杨玉良) Solitons and defects in nematic liquid crystals under a simple shear flow and in a static external magnetic field 2008 Chin. Phys. B 17 2600

[1] Advancing thermoelectrics by suppressing deep-level defects in Pb-doped AgCrSe2 alloys
Yadong Wang(王亚东), Fujie Zhang(张富界), Xuri Rao(饶旭日), Haoran Feng(冯皓然),Liwei Lin(林黎蔚), Ding Ren(任丁), Bo Liu(刘波), and Ran Ang(昂然). Chin. Phys. B, 2023, 32(4): 047202.
[2] All-optical switches based on three-soliton inelastic interaction and its application in optical communication systems
Shubin Wang(王树斌), Xin Zhang(张鑫), Guoli Ma(马国利), and Daiyin Zhu(朱岱寅). Chin. Phys. B, 2023, 32(3): 030506.
[3] Molecular dynamics study of interactions between edge dislocation and irradiation-induced defects in Fe–10Ni–20Cr alloy
Tao-Wen Xiong(熊涛文), Xiao-Ping Chen(陈小平), Ye-Ping Lin(林也平), Xin-Fu He(贺新福), Wen Yang(杨文), Wang-Yu Hu(胡望宇), Fei Gao(高飞), and Hui-Qiu Deng(邓辉球). Chin. Phys. B, 2023, 32(2): 020206.
[4] Effects of oxygen concentration and irradiation defects on the oxidation corrosion of body-centered-cubic iron surfaces: A first-principles study
Zhiqiang Ye(叶志强), Yawei Lei(雷亚威), Jingdan Zhang(张静丹), Yange Zhang(张艳革), Xiangyan Li(李祥艳), Yichun Xu(许依春), Xuebang Wu(吴学邦), C. S. Liu(刘长松), Ting Hao(郝汀), and Zhiguang Wang(王志光). Chin. Phys. B, 2022, 31(8): 086802.
[5] Gap solitons of spin-orbit-coupled Bose-Einstein condensates in $\mathcal{PT}$ periodic potential
S Wang(王双), Y H Liu(刘元慧), and T F Xu(徐天赋). Chin. Phys. B, 2022, 31(7): 070306.
[6] Direct visualization of structural defects in 2D semiconductors
Yutuo Guo(郭玉拓), Qinqin Wang(王琴琴), Xiaomei Li(李晓梅), Zheng Wei(魏争), Lu Li(李璐), Yalin Peng(彭雅琳), Wei Yang(杨威), Rong Yang(杨蓉), Dongxia Shi(时东霞), Xuedong Bai(白雪冬), Luojun Du(杜罗军), and Guangyu Zhang(张广宇). Chin. Phys. B, 2022, 31(7): 076105.
[7] Post-solitons and electron vortices generated by femtosecond intense laser interacting with uniform near-critical-density plasmas
Dong-Ning Yue(岳东宁), Min Chen(陈民), Yao Zhao(赵耀), Pan-Fei Geng(耿盼飞), Xiao-Hui Yuan(远晓辉), Quan-Li Dong(董全力), Zheng-Ming Sheng(盛政明), and Jie Zhang(张杰). Chin. Phys. B, 2022, 31(4): 045205.
[8] Effect of heavy ion irradiation on the interface traps of AlGaN/GaN high electron mobility transistors
Zheng-Zhao Lin(林正兆), Ling Lü(吕玲), Xue-Feng Zheng(郑雪峰), Yan-Rong Cao(曹艳荣), Pei-Pei Hu(胡培培), Xin Fang(房鑫), and Xiao-Hua Ma(马晓华). Chin. Phys. B, 2022, 31(3): 036103.
[9] First-principles study of stability of point defects and their effects on electronic properties of GaAs/AlGaAs superlattice
Shan Feng(冯山), Ming Jiang(姜明), Qi-Hang Qiu(邱启航), Xiang-Hua Peng(彭祥花), Hai-Yan Xiao(肖海燕), Zi-Jiang Liu(刘子江), Xiao-Tao Zu(祖小涛), and Liang Qiao(乔梁). Chin. Phys. B, 2022, 31(3): 036104.
[10] Radiation effects of 50-MeV protons on PNP bipolar junction transistors
Yuan-Ting Huang(黄垣婷), Xiu-Hai Cui(崔秀海), Jian-Qun Yang(杨剑群), Tao Ying(应涛), Xue-Qiang Yu(余雪强), Lei Dong(董磊), Wei-Qi Li(李伟奇), and Xing-Ji Li(李兴冀). Chin. Phys. B, 2022, 31(2): 028502.
[11] Comparison of formation and evolution of radiation-induced defects in pure Ni and Ni-Co-Fe medium-entropy alloy
Lin Lang(稂林), Huiqiu Deng(邓辉球), Jiayou Tao(陶家友), Tengfei Yang(杨腾飞), Yeping Lin(林也平), and Wangyu Hu(胡望宇). Chin. Phys. B, 2022, 31(12): 126102.
[12] Riemann-Hilbert approach and N double-pole solutions for a nonlinear Schrödinger-type equation
Guofei Zhang(张国飞), Jingsong He(贺劲松), and Yi Cheng(程艺). Chin. Phys. B, 2022, 31(11): 110201.
[13] Effect of the codoping of N—H—O on the growth characteristics and defects of diamonds under high temperature and high pressure
Zhenghao Cai(蔡正浩), Bowei Li(李博维), Liangchao Chen(陈良超), Zhiwen Wang(王志文), Shuai Fang(房帅), Yongkui Wang(王永奎), Hongan Ma(马红安), and Xiaopeng Jia(贾晓鹏). Chin. Phys. B, 2022, 31(10): 108104.
[14] Identification of the phosphorus-doping defect in MgS as a potential qubit
Jijun Huang(黄及军) and Xueling Lei(雷雪玲). Chin. Phys. B, 2022, 31(10): 106102.
[15] Passivation and dissociation of Pb-type defects at a-SiO2/Si interface
Xue-Hua Liu(刘雪华), Wei-Feng Xie(谢伟锋), Yang Liu(刘杨), and Xu Zuo(左旭). Chin. Phys. B, 2021, 30(9): 097101.
No Suggested Reading articles found!