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First-order Fréedericksz transition at the threshold point for weak anchoring nematic liquid crystal cell under external electric and magnetic fields
引用本文:关荣华,杨国琛.First-order Fréedericksz transition at the threshold point for weak anchoring nematic liquid crystal cell under external electric and magnetic fields[J].中国物理 B,2003,12(11):1283-1290.
作者姓名:关荣华  杨国琛
作者单位:(1)Department of Applied Physics, North China Electric Power University, Baoding 071003, China; Institute of Material Physics, Hebei University of Technology, Tianjin 300130, China; (2)Institute of Material Physics, Hebei University of Technology, Tianjin 300130, China
摘    要:Based on the modified formula of Rapini-Papoular, the equilibrium equation and boundary condition of the director have been obtained and the behaviour of the Fréedericksz transition at the threshold point has been studied for weak-anchoring nematic liquid crystal cells under external electric and magnetic fields with the methods of analytical derivation and numerical calculation. The results show that, except for the usual second-order transition, the first-order Fréedericksz transition can also be induced by a suitable surface anchoring technique for the liquid crystal cell given in the paper. The conditions for the existence of the first-order Fréedericksz transition are obtained. They are related to the material elastic coefficient k_{11}, k_{33} the thickness of the liquid crystal cell, the external electric field and the strength of surface anchoring, etc.

关 键 词:weak  anchoring    threshold  point    first-order  Fréedericksz  transition    electric  and  magnetic  fields
收稿时间:2003-06-20
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