Three-dimensional soliton-like distortions in flexoelectric nematic liquid crystals: modelling and linear analysis

2022 ◽  
pp. 1-16
Author(s):  
Ashley Earls ◽  
M. Carme Calderer
Keyword(s):  
Liquid Crystals ◽  
Nematic Liquid Crystals ◽  
Three Dimensional ◽  
Linear Analysis ◽  
Dimensional Soliton

A perturbed (1+2)-dimensional soliton solution in nematic liquid crystals

2008 ◽  
Vol 10 (2) ◽  
pp. 025102 ◽  
Author(s):  
Hongyan Ren ◽  
Shigen Ouyang ◽  
Qi Guo ◽  
Wei Hu ◽  
Longgui Cao
Keyword(s):  
Liquid Crystals ◽  
Soliton Solution ◽  
Nematic Liquid Crystals ◽  
Dimensional Soliton

A linear analysis of instabilities in Couette flow of nematic liquid crystals

1987 ◽  
Vol 26 (4) ◽  
pp. 343-349 ◽  
Author(s):  
P. J. Barratt ◽  
J. M. Manley ◽  
V. A. Nye
Keyword(s):  
Liquid Crystals ◽  
Couette Flow ◽  
Nematic Liquid Crystals ◽  
Linear Analysis

scholarly journals Electrically driven three-dimensional solitary waves as director bullets in nematic liquid crystals

2018 ◽  
Vol 9 (1) ◽  
Author(s):  
Bing-Xiang Li ◽  
Volodymyr Borshch ◽  
Rui-Lin Xiao ◽  
Sathyanarayana Paladugu ◽  
Taras Turiv ◽  
...  
Keyword(s):  
Liquid Crystals ◽  
Solitary Waves ◽  
Nematic Liquid Crystals ◽  
Three Dimensional

Effect of Substituents of Azobenzenes Side Chans Tethered to Polymethacrylates on Three-Dimensional Photocontrol of Nematic Liquid Crystals.

1999 ◽  
Vol 12 (2) ◽  
pp. 283-284
Author(s):  
Seiichi Furumi ◽  
Tursun Huxur ◽  
Masaru Nakagawa ◽  
Shin'ya Morino ◽  
Kunihiro Ichimura
Keyword(s):  
Liquid Crystals ◽  
Nematic Liquid Crystals ◽  
Three Dimensional ◽  
Effect Of Substituents

scholarly journals On the Disclination Lines of Nematic Liquid Crystals

2016 ◽  
Vol 19 (2) ◽  
pp. 354-379 ◽  
Author(s):  
Yucheng Hu ◽  
Yang Qu ◽  
Pingwen Zhang
Keyword(s):  
Liquid Crystals ◽  
Nematic Liquid Crystals ◽  
Practical Importance ◽  
Three Dimensional ◽  
Defect Structures ◽  
Static Structure ◽  
Spherical Droplet ◽  
Topological Constraint ◽  
Defects In Liquid Crystals ◽  
Gennes Theory

AbstractDefects in liquid crystals are of great practical importance and theoretical interest. Despite tremendous efforts, predicting the location and transition of defects under various topological constraint and external field remains to be a challenge. We investigate defect patterns of nematic liquid crystals confined in three-dimensional spherical droplet and two-dimensional disk under different boundary conditions, within the Landau-de Gennes model. We implement a spectral method that numerically solves the Landau-de Gennes model with high accuracy, which allows us to study the detailed static structure of defects. We observe five types of defect structures. Among them the 1/2-disclination lines are the most stable structure at low temperature. Inspired by numerical results, we obtain the profile of disclination lines analytically. Moreover, the connection and difference between defect patterns under the Landau-de Gennes model and the Oseen-Frank model are discussed. Finally, three conjectures are made to summarize some important characteristics of defects in the Landau-de Gennes theory. This work is a continuing effort to deepen our understanding on defect patterns in nematic liquid crystals.

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