Stability of split-core configuration confined in nematic liquid crystal droplets under submicron scale

Hong-en LIU; Jin-bing WU; Meng-fei LIU; Xuan ZHOU; Zhi-dong ZHANG

doi:10.37188/CJLCD.2020-0246

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Stability of split-core configuration confined in nematic liquid crystal droplets under submicron scale

Material Physics | 更新时间：2021-03-23

- Stability of split-core configuration confined in nematic liquid crystal droplets under submicron scale
- Chinese Journal of Liquid Crystals and Displays Vol. 36, Issue 3, Pages: 343-354(2021)
- 作者机构：
  
  河北工业大学应用物理系, 天津 300401
- 作者简介：
- 基金信息：
- DOI：10.37188/CJLCD.2020-0246
  CLC： O753.2
- Received：23 September 2020，
  
  Accepted：16 October 2020，
  
  Published：2021-03
- 稿件说明：
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Hong-en LIU, Jin-bing WU, Meng-fei LIU, et al. Stability of split-core configuration confined in nematic liquid crystal droplets under submicron scale[J]. Chinese journal of liquid crystals and displays, 2021, 36(3): 343-354.
DOI：

Hong-en LIU, Jin-bing WU, Meng-fei LIU, et al. Stability of split-core configuration confined in nematic liquid crystal droplets under submicron scale[J]. Chinese journal of liquid crystals and displays, 2021, 36(3): 343-354. DOI： 10.37188/CJLCD.2020-0246.

摘要

基于Landau-de Gennes理论，探究了具有垂面边界锚定情况下亚微米级球形向列相液滴中分裂核结构的稳定性。结果表明：在边界条件为强锚定且单一弹性常数近似下，球形液滴内会同时存在径向结构和环结构。根据半径的不同，两种结构会分别成为稳态，即半径较大时环结构为稳态，反之径向结构为稳态。当考虑弹性各向异性时，会出现稳态的环结构和亚稳态的分裂核结构。进一步研究表明：若考虑

弹性项对液滴内部结构的影响，当边界锚定条件由强锚定变为弱锚定（以锚定强度

=10

-4

J/m

为例），在单一弹性常数近似情况下，会出现径向、环和均匀3种结构，其中径向结构为稳态，且结构之间的稳定性不受

作用的影响；在弹性各向异性情况下，径向结构会转变为分裂核结构。另外，若不考虑

作用时，分裂核结构仍为亚稳态；若考虑

作用，当尺寸和弹性各向异性在一定范围内时，分裂核结构可以成为稳态。在我们的模拟计算中首次发现

作用可以使分裂核结构成为稳态。

Abstract

Based on Landau-de Gennes theory

the stability of split-core configuration confined in nematic liquid crystal droplets with submicron scale under homeotropic anchoring boundary condition is investigated. Results show that there are radial and ring structures under the strong anchoring boundary condition and single constant approximation. According to the difference of the radius

the two structures will become stable respectively

i.e.

the ring structure is stable when the radius is larger

and the radial structure is stable when the radius is smaller. Under the condition of elastic anisotropy

a stable ring structure and a metastable split-core structure will appear. Furthermore

the results show that if the effect of

on the internal structure of the droplet is considered

when the boundary anchoring condition is changed from strong anchoring to weak anchoring (take anchoring strength

=10

-4

J/m

as an example) and under the single constant approximation

it is found that there would be three structures

i.e.

radial structure

ring structure and uniform state structure

and the radial structure is stable state

in addition

the stability among structures is not affected by the effect of

; under the condition of elastic anisotropy

the radial structure is transformed into the split-core structure. And it is still metastable when the effect of

is not considered; if the effect of

is considered

the split-core structure can be stable when the size and elastic anisotropy are within a certain range. In our simulation

it is found that the effect of

can make the split-core structure become stable for the first time.

关键词

Keywords

references

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Related Institution

Department of Applied Physics，Hebei University of Technology

School of Electronic and Information Engineering, Hebei University of Technology

Tianjin Key Laboratory of Electronic Materials and Devices

School of Science, Hebei University of Technology

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