scholarly journals Disclinations in Limiting Landau–de Gennes Theory

2020 ◽  
Vol 237 (1) ◽  
pp. 147-200
Author(s):  
Yong Yu
Keyword(s):  
Gennes Theory

New structure induced by elastic anisotropy in cylindrical nematic liquid crystal

2017 ◽  
Vol 13 (2) ◽  
pp. 4705-4717
Author(s):  
Zhang Qian ◽  
Zhou Xuan ◽  
Zhang Zhidong
Keyword(s):  
Liquid Crystal ◽  
Liquid Crystals ◽  
Nematic Liquid Crystal ◽  
Elastic Anisotropy ◽  
Nematic Liquid Crystals ◽  
Gennes Theory

Basing on Landau–de Gennes theory, this study investigated the chiral configurations of nematic liquid crystals confined to cylindrical capillaries with homeotropic anchoring on the cylinder walls. When the elastic anisotropy (L2/L1) is large enough, a new structure results from the convergence of two opposite escape directions of the heterochiral twist and escape radial (TER) configurations. The new defect presents when L2/L1≥7 and disappears when L2/L1<7. The new structure possesses a heterochiral hyperbolic defect at the center and two homochiral radial defects on both sides. The two radial defects show different chiralities.

Study on concentric configuration of nematic liquid crystal droplet by Landau-de Gennes theory

2020 ◽  
Vol 47 (11) ◽  
pp. 1698-1707
Author(s):  
Jinbing Wu ◽  
He Ma ◽  
Sibo Chen ◽  
Xuan Zhou ◽  
Zhidong Zhang
Keyword(s):  
Liquid Crystal ◽  
Nematic Liquid Crystal ◽  
Liquid Crystal Droplet ◽  
Gennes Theory

scholarly journals Radial symmetry on three-dimensional shells in the Landau–de Gennes theory

2016 ◽  
Vol 314 ◽  
pp. 18-34 ◽  
Author(s):  
Giacomo Canevari ◽  
Mythily Ramaswamy ◽  
Apala Majumdar
Keyword(s):  
Three Dimensional ◽  
Radial Symmetry ◽  
Gennes Theory

scholarly journals Stability of the Melting Hedgehog in the Landau–de Gennes Theory of Nematic Liquid Crystals

2014 ◽  
Vol 215 (2) ◽  
pp. 633-673 ◽  
Author(s):  
Radu Ignat ◽  
Luc Nguyen ◽  
Valeriy Slastikov ◽  
Arghir Zarnescu
Keyword(s):  
Liquid Crystals ◽  
Nematic Liquid Crystals ◽  
Gennes Theory

scholarly journals Stability of the vortex defect in the Landau–de Gennes theory for nematic liquid crystals

2013 ◽  
Vol 351 (13-14) ◽  
pp. 533-537 ◽  
Author(s):  
Radu Ignat ◽  
Luc Nguyen ◽  
Valeriy Slastikov ◽  
Arghir Zarnescu
Keyword(s):  
Liquid Crystals ◽  
Nematic Liquid Crystals ◽  
Gennes Theory

Theory and Simulation of Texture Transformations in Chiral Systems: Applications to Biological Fibrous Composites

2001 ◽  
Vol 709 ◽  
Author(s):  
Gino De Luca ◽  
Alejandro D. Rey
Keyword(s):  
Three Dimensional ◽  
Front Propagation ◽  
Fibrous Composites ◽  
Propagation Process ◽  
Chiral Nematic ◽  
New Information ◽  
Biological Structures ◽  
Planar Film ◽  
Chiral Systems ◽  
Gennes Theory

ABSTRACTNumerous studies [1-3] have shown that chiral biological structures share common properties with liquids crystals, in particular a tendency to assemble in three-dimensional lattices very similar to that of chiral nematics. Biological fibrous composites are usually found in planar (film) and cylindrical (fibber) twist geometries. In this work, the formation process of the planar twist architecture is numerically investigated using a mesoscopic model based on the Landau-de Gennes theory of chiral nematic liquid crystals. The simulations and visualizations of the computed textures provide new information on some of the principles that govern the formation of chiral biological structures. It is found that a defect-free planar twist architecture arises from a chiral front propagation process with a fully relaxed wake.

scholarly journals An extension of the Landau-Ginzburg-de Gennes theory for liquid crystals

1987 ◽  
Vol 2 (6) ◽  
pp. 769-796 ◽  
Author(s):  
L. Longa ◽  
D. Monselesan ◽  
H.-R. Trebin
Keyword(s):  
Liquid Crystals ◽  
Gennes Theory
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