中国物理B ›› 2006, Vol. 15 ›› Issue (5): 1041-1050.doi: 10.1088/1009-1963/15/5/029

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Threshold and saturation properties of the field-induced twist cell with two parameters weak anchoring boundaries

孙玉宝1, 关荣华2   

  1. (1)Department of Applied Physics, Hebei University of Technology,Tianjin 300130, China; (2)Department of Applied physics, North China Electric Power University,Baoding 071003, China;Department of Applied Physics, Hebei University of Technology,Tianjin 300130, China
  • 收稿日期:2005-11-10 修回日期:2006-02-24 出版日期:2006-05-20 发布日期:2006-05-20
  • 基金资助:
    Project supported by the Theoretical Physics Special Foundation of the National Natural Science of China (Grant No 10447107),the Natural Science Foundation of Hebei Province, China (Grant No A2006000675), the Doctoral Foundation of Hebei Province, China (

Threshold and saturation properties of the field-induced twist cell with two parameters weak anchoring boundaries

Guan Rong-Hua (关荣华)ab, Sun Yu-Bao (孙玉宝)b    

  1. a Department of Applied physics, North China Electric Power University, Baoding 071003, China; b Department of Applied Physics, Hebei University of Technology, Tianjin 300130, China
  • Received:2005-11-10 Revised:2006-02-24 Online:2006-05-20 Published:2006-05-20
  • Supported by:
    Project supported by the Theoretical Physics Special Foundation of the National Natural Science of China (Grant No 10447107),the Natural Science Foundation of Hebei Province, China (Grant No A2006000675), the Doctoral Foundation of Hebei Province, China (

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摘要： On the basis of two-parameter formula of weak surface coupling anchoring energy of nematic liquid crystals proposed by Zhao et al recently, the general torque equilibrium equation and boundary conditions of the director have been obtained and the threshold field as well as the saturation field of the field-induced twist cell have been analysed for three kinds of configurations, i.e. homogeneous, splay and Pi cells formed by different rubbing conditions and pretilt angles. The results indicated that the polar anchoring has no effect on the threshold field. It is determined only by the twist anchoring and pretilt angle. But, the polar anchoring and twist anchoring are coupling with each other and have a great influence on the saturation field. The formulae for calculating the threshold field and saturation field are given. These results will be very useful in understanding surface physics and the design of liquid crystal cells.

关键词: threshold field, saturation field, two-parameter formula, nonzero pretilt angle

Abstract: On the basis of two-parameter formula of weak surface coupling anchoring energy of nematic liquid crystals proposed by Zhao et al recently, the general torque equilibrium equation and boundary conditions of the director have been obtained and the threshold field as well as the saturation field of the field-induced twist cell have been analysed for three kinds of configurations, i.e. homogeneous, splay and Pi cells formed by different rubbing conditions and pretilt angles. The results indicated that the polar anchoring has no effect on the threshold field. It is determined only by the twist anchoring and pretilt angle. But, the polar anchoring and twist anchoring are coupling with each other and have a great influence on the saturation field. The formulae for calculating the threshold field and saturation field are given. These results will be very useful in understanding surface physics and the design of liquid crystal cells.

Key words: threshold field, saturation field, two-parameter formula, nonzero pretilt angle

中图分类号:  (Surface phenomena: alignment, anchoring, anchoring transitions, surface-induced layering, surface-induced ordering, wetting, prewetting transitions, and wetting transitions)

  • 61.30.Hn
61.30.Cz (Molecular and microscopic models and theories of liquid crystal structure) 61.30.Gd (Orientational order of liquid crystals; electric and magnetic field effects on order) 64.70.M- (Transitions in liquid crystals)