Director distributions of nematic liquid crystals in hybrid arrangement cylindrical cells

Hong-hong LIU; Yan-jun ZHANG

doi:10.3788/YJYXS20173201.0013

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Director distributions of nematic liquid crystals in hybrid arrangement cylindrical cells

Material and Device | 更新时间：2020-07-07

- Director distributions of nematic liquid crystals in hybrid arrangement cylindrical cells
- Chinese Journal of Liquid Crystals and Displays Vol. 32, Issue 1, Pages: 13-18(2017)
- 作者机构：
  
  河北工业大学理学院, 天津 300401
- 作者简介：
- 基金信息：
- DOI：10.3788/YJYXS20173201.0013
  CLC： O753.2
- Received：26 August 2016，
  
  Accepted：19 September 2016，
  
  Published：2017-01
- 稿件说明：
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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：

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.

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Keywords

references

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Department of Phsycis & Astronomy， School of Nature Science， University of Manchester， PLM139， Manchester， United Kingdom

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