计算物理 ›› 2003, Vol. 20 ›› Issue (3): 215-218.

• 论文 • 上一篇    下一篇

液晶胆甾相中的分子短程关联

张志东, 卢遵铭   

  1. 河北工业大学 文理学院, 天津 300130
  • 收稿日期:2002-03-15 修回日期:2002-08-29 出版日期:2003-05-25 发布日期:2003-05-25
  • 作者简介:张志东(196l-),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:
    河北省自然科学基金(103002)资助项目

Short Range Correlations Between Molecules in Cholesteric Phase of Liquid Crystals

ZHANG Zhi-dong, LU Zun-ming   

  1. School of Science and Arts, Hebei University of Technology, Tianjin 3100130, China
  • Received:2002-03-15 Revised:2002-08-29 Online:2003-05-25 Published:2003-05-25

摘要: 向列相液晶的二粒子集团理论被推广应用于研究胆甾相二维模型.手征性分子固定在三维简单立方晶格的格点上,而分子取向限制在二维.理论结果表明,平衡态螺旋波矢依赖于温度的变化,且存在胆甾相到向列相相变.通过考虑分子间短程关联,二粒子集团理论的数值结果较平均场理论更接近Monte Carlo模拟结果.

关键词: 胆甾相液晶, 二粒子集团理论, 螺旋波矢

Abstract: The two-particle cluster theory of nematic liquid crystals is generalized to study a two-dimensional model of cholesteric phase. The chiral molecules are placed at the sites of a three-dimensional simple cubic lattice with molecular orientations confined to two dimensions. The theoretical result shows that the helical wave-vector for equilibrium state depends on temperature and the cholesteric-isotropic phase transition exists. The two-particle cluster theory, taking into accout short-range correlations between molecules, yields numerical results which are closer to those of the Monte Carlo simulation than the mean field theory.

Key words: cholesteric liquid crystal, two-particle cluster theory, helical wave-vector

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