混合排列柱状薄层中的向列相液晶指向矢分布的研究

刘红红; 张艳君

doi:10.3788/YJYXS20173201.0013

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混合排列柱状薄层中的向列相液晶指向矢分布的研究

材料与器件 | 更新时间：2020-07-07

- 混合排列柱状薄层中的向列相液晶指向矢分布的研究
- Director distributions of nematic liquid crystals in hybrid arrangement cylindrical cells
- 液晶与显示 2017年32卷第1期页码：13-18
- 作者机构：
  
  河北工业大学理学院, 天津 300401
- 作者简介：
  
  [ "刘红红(1991-),女,河北沧州人,硕士研究生,主要从事液晶物理方面的研究。E-mail:943377247@qq.com" ]
  张艳君,E-mail:zhangyanjun_krissy@163.com
- 基金信息：
  
  国家自然科学基金(No.11374087，No.11304074);河北省高等学校科学技术研究青年基金(No.QN2015260);Supported by National Natural Science Foundation of China(No.11374087;No.11304074);Research Project of Hebei Education Department,China(No.QN2015260)
- DOI：10.3788/YJYXS20173201.0013
  中图分类号： O753.2
- 收稿日期：2016-08-26，
  
  录用日期：2016-9-19，
  
  纸质出版日期：2017-01
- 稿件说明：
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刘红红, 张艳君. 混合排列柱状薄层中的向列相液晶指向矢分布的研究[J]. 液晶与显示, 2017,32(1):13-18.

Hong-hong LIU, Yan-jun ZHANG. Director distributions of nematic liquid crystals in hybrid arrangement cylindrical cells[J]. Chinese journal of liquid crystals and displays, 2017, 32(1): 13-18.
刘红红, 张艳君. 混合排列柱状薄层中的向列相液晶指向矢分布的研究[J]. 液晶与显示, 2017,32(1):13-18. DOI： 10.3788/YJYXS20173201.0013.

Hong-hong LIU, Yan-jun ZHANG. Director distributions of nematic liquid crystals in hybrid arrangement cylindrical cells[J]. Chinese journal of liquid crystals and displays, 2017, 32(1): 13-18. DOI： 10.3788/YJYXS20173201.0013.

摘要

利用向列相液晶弹性理论，研究了混合排列柱状薄层中的向列相液晶指向矢的分布。向列相液晶被限定在两个同心圆柱构成的薄层中，在内外表面施加强锚定及弱锚定边界条件，锚定易取向方向取径向和轴向（垂直柱轴及平行柱轴）的边界条件，得到了四种混合排列柱状薄层模型RsZw、ZwRs、RwZs、ZsRw。基于Frank弹性自由能和Rapini-Papoular近似的表面能，研究了不同锚定强度、不同内半径及不同弹性常数值的指向矢分布，计算机模拟得出指向矢取向的曲线图。由于柱对称性、锚定强度、薄层厚度以及弹性各向异性共同竞争的影响，这四种模型的指向矢分布有着很大的不同。

Abstract

By using nematic liquid crystal elastic theory

we study the director distributions of nematic liquid crystal in hybrid arrangement cylindrical cells. Nematic liquid crystal is restricted in two concentric cylindrical layers

inside and outside surface application strong anchoring and weak anchoring boundary condition

anchor set to boundary conditions of the radial and axial direction(vertical and parallel axis)

obtaining four models ZsRw

ZwRs

RsZw and RwZs. Based on the Frank elastic free energy and the Rapini Papoular approximation to the surface anchoring strength

we obtain the director distributions with antagonistic anchoring conditions

different radius and different elastic constants. We calculate and simulate the director orientation graph. Because of the influence of column symmetry

anchoring strength

layer thickness and elastic anisotropy

the director distributions of these four models are very different.

关键词

Keywords

references

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