Determination of Landau Point in Biaxial Nematic Liquid Crystals

LI Ce; ZHENG Gui-li; ZHANG Zhi-dong

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Determination of Landau Point in Biaxial Nematic Liquid Crystals

Material Physics & Chemistry | 更新时间：2020-08-12

- Determination of Landau Point in Biaxial Nematic Liquid Crystals
- Chinese Journal of Liquid Crystals and Displays Vol. 24, Issue 3, Pages: 333-339(2009)
- 作者机构：
  
  河北工业大学理学院, 天津 300401,E-mail: licehao@163.com
- 作者简介：
- 基金信息：
- DOI：
  CLC： O753+.2
- Received：21 November 2008，
  
  Revised：02 January 1900，
  
  Published Online：30 June 2009，
  
  Published：30 June 2009
- 稿件说明：
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李策;郑桂丽;张志东. 双轴向列相液晶中Landau点的确定[J]. 液晶与显示, 2009,24(3): 333-339

LI Ce;ZHENG Gui-li;ZHANG Zhi-dong. Determination of Landau Point in Biaxial Nematic Liquid Crystals[J]. 液晶与显示, 2009,24(3): 333-339
李策;郑桂丽;张志东. 双轴向列相液晶中Landau点的确定[J]. 液晶与显示, 2009,24(3): 333-339 DOI：

LI Ce;ZHENG Gui-li;ZHANG Zhi-dong. Determination of Landau Point in Biaxial Nematic Liquid Crystals[J]. 液晶与显示, 2009,24(3): 333-339 DOI：

摘要

引入双轴向列相液晶分子模型

采用分叉理论和二粒子集团理论来确定双轴向列相液晶中的Landau点

分别得出了液晶各向同性相向单轴向列相转变对分子双轴性参数的依赖曲线。在Landau点处

分叉理论、二粒子集团理论和平均场理论得到的分子双轴性参数

取值是相同的

而约化温度

的取值不同

由二粒子集团理论得到的约化温度值更为精确。二粒子集团理论考虑了近邻分子间的短程关联

由此可知在双轴向列相液晶的研究中考虑近邻分子间的短程关联是非常必要的。

Abstract

Based on the model of biaxial nematic liquid crystals

the Landau point in the biaxial nematic liquid crystals was determined by using bifurcation theory and two-particle cluster theory. The mole-cular biaxial parameter dependent curves transiting from istropic phase to uniaxial nematic phase were obtained. At the Landau point

the results of molecular biaxial parameter

obtained from bifurcation theory

two-particle cluster theory and mean field theory were the same

but the results of reduced temperature

were different. The reduced temperature obtained from two-particle cluster theory was more accurate. The result of two-particle cluster theory was more reasonable than those obtained from the other two theories. The results demonstrate that it is necessary to consider the short range correlation between each pair of neighbor molecules.

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Keywords

references

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