悬浮在向列相液晶中球形微粒周围的土星环和偶极子缺陷的稳定性

王玉生; 吕健; 宋纳红

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悬浮在向列相液晶中球形微粒周围的土星环和偶极子缺陷的稳定性

材料物理和化学 | 更新时间：2020-08-12

- 悬浮在向列相液晶中球形微粒周围的土星环和偶极子缺陷的稳定性
- Stability of Saturn-Ring and Dipole Defects Around Microspheres Suspended in Nematic Liquid Crystals
- 液晶与显示 2010年25卷第5期页码：635-639
- 作者机构：
  
  1. 华北水利水电学院数学与信息科学学院, 河南郑州 450011, E-mail: wangyusheng@ncwu.edu.cn
  2. 河南财经学院计算机科学与信息工程学院,河南郑州,450002
- 作者简介：
- 基金信息：
  
  华北水利水电学院青年科研基金(No.HSQJ2009018)()
- DOI：
  中图分类号： O753+.2
- 收稿日期：2009-12-12，
  
  修回日期：2010-01-27，
  
  网络出版日期：2010-09-28，
  
  纸质出版日期：2010-10-20
- 稿件说明：
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王玉生, 吕健,宋纳红. 悬浮在向列相液晶中球形微粒周围的土星环和偶极子缺陷的稳定性[J]. 液晶与显示, 2010,25(5): 635-639

WANG Yu-sheng, Lü Jian, SONG Na-hong. Stability of Saturn-Ring and Dipole Defects Around Microspheres Suspended in Nematic Liquid Crystals[J]. 液晶与显示, 2010,25(5): 635-639
王玉生, 吕健,宋纳红. 悬浮在向列相液晶中球形微粒周围的土星环和偶极子缺陷的稳定性[J]. 液晶与显示, 2010,25(5): 635-639 DOI：

WANG Yu-sheng, Lü Jian, SONG Na-hong. Stability of Saturn-Ring and Dipole Defects Around Microspheres Suspended in Nematic Liquid Crystals[J]. 液晶与显示, 2010,25(5): 635-639 DOI：

摘要

在向列相液晶中悬浮的球形微粒周围可能存在两种类型的缺陷:土星环结构和偶极子结构。文章通过计算它们的自由能

研究了向列相液晶中两种类型缺陷的稳定性。计算结果表明:当

＜

(1-(1/2)ln(

))时

土星环缺陷是稳定的

并且和球形微粒的半径无关

其中

是液晶分子的长度

k和k

是弹性常数

是向错线核心的半径;当k

＞k(1-(1/2)ln

))时

对于半径较小的球形微粒土星环缺陷比较稳定

但是对于较大的球形微粒偶极子缺陷比较稳定。进而可得

通过增加粒子半径、鞍形展曲弹性常数

或者减小弹性常数

的方法可以实现土星环缺陷向偶极子缺陷的转变。

Abstract

The stability of Saturn-ring and dipole defects in nematic liquid crystals is studied. Two structures are possible around microspheres suspended in nematic liquid crystals: a Saturn- ring and a dipole

which are investigated by calculating their Frank free energy. As a result

＜

(1-(1/2)ln

))

the Saturn-ring is the preferred configuration which does not depend on the particle size

where

is the length of liquid crystal molecule

and

are the elastic constants

and

is the radius of the disclination line core. If

＞

(1-(1/2)ln(

))

for small particles the Saturn-ring defect is more stable

and contrarily for large particles the dipole defect is more stable. The results demonstrate that a transition from the Saturn-ring defect to the dipole defect is induced either by increasing the particle size

the saddle-splay elastic constant

or by decreasing

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Keywords

references

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