摩擦基板间液晶薄层的分子场理论

计算物理 ›› 2001, Vol. 18 ›› Issue (5): 443-446.

摩擦基板间液晶薄层的分子场理论

张志东¹, 孔浩², 薛山岭²

1. 河北工业大学文理学院, 天津 300130;
2. 河北冀雅电子有限公司, 河北石家庄 050071

收稿日期:2001-01-02 修回日期:2001-04-12 出版日期:2001-09-25 发布日期:2001-09-25
作者简介:张志东(1961-),男,山东蓬莱,教授,博士,从事液晶物理与液晶器件物理的研究.
基金资助:
河北省教育厅博士基金资助项目

THE MOLECULAR FIELD THEORY OF THIN LIQUID CRYSTAL FILMS CONFINED BY TWO RUBBED SUBSTRATES

ZHANG Zhi-dong¹, KONG Hao², XUE Shan-ling²

1. School of Science and Arts, Hebei University of Technology, Tianjin 300130, P R China;
2. Hebei Jiya Electronics Company Limited, Shijiazhuang 050071, P R China

Received:2001-01-02 Revised:2001-04-12 Online:2001-09-25 Published:2001-09-25

摘要/Abstract

摘要： 提出一种新的表面作用势用于描写摩擦基板对液晶分子的作用.通过分子场理论研究摩擦基板间的液晶薄层,基板作用使液晶分子沿面平行排列.采用Lebwohl Lasher模型,将分子质心固定在简单立方晶格的格点上.对20个分子层构成的液晶薄层进行了数值计算.存在3种分子优先取向方向不同的状态,优先取向方向沿摩擦方向的状态具有最低自由能,并考虑了基板作用引起的双轴对称性.

关键词: 液晶层, 摩擦基板, 表面作用势, 分子场理论

Abstract: A new surface potential form is proposed to describe the action of the rubbed substrate to the liquid crystal molecules. By means of the molecular field theory, thin liquid crystal films confined by two rubbed substrates which lead to a homogeneous planar alignment of the liquid crystal molecules are studied. Adopting the Lebwohl-Lasher model,the molecular centers of mass are located at the sites of a simple cubic lattice. Numerical calculations are made for a liquid crystal film composed of 20 molecular layers. Three states with the different preferred directions of the molecular orientations exist and the one oriented along the rubbed direction has the lowest free energy. In addition, the symmetry of the biaxiality induced by the surface action is considered.

Key words: liquid crystal film, rubbed substrate, surface potential, molecular field theory

中图分类号:

张志东, 孔浩, 薛山岭. 摩擦基板间液晶薄层的分子场理论[J]. 计算物理, 2001, 18(5): 443-446.

ZHANG Zhi-dong, KONG Hao, XUE Shan-ling. THE MOLECULAR FIELD THEORY OF THIN LIQUID CRYSTAL FILMS CONFINED BY TWO RUBBED SUBSTRATES[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2001, 18(5): 443-446.