scholarly journals Efficient Moving Mesh Methods for $Q$-Tensor Models of Nematic Liquid Crystals

2015 ◽  
Vol 37 (2) ◽  
pp. B215-B238 ◽  
Author(s):  
Craig S. MacDonald ◽  
John A. Mackenzie ◽  
Alison Ramage ◽  
Christopher J. P. Newton
2020 ◽  
Vol 8 ◽  
pp. 100065
Author(s):  
Craig S. MacDonald ◽  
John A. Mackenzie ◽  
Alison Ramage

Soft Matter ◽  
2020 ◽  
Vol 16 (16) ◽  
pp. 4032-4042 ◽  
Author(s):  
Michael Nestler ◽  
Ingo Nitschke ◽  
Hartmut Löwen ◽  
Axel Voigt

Uniaxial nematic liquid crystals whose molecular orientation is subjected to tangential anchoring on a curved surface offer a non trivial interplay between the geometry and the topology of the surface and the orientational degree of freedom.


1994 ◽  
Vol 4 (2) ◽  
pp. 239-252 ◽  
Author(s):  
A. Hertrich ◽  
A. P. Krekhov ◽  
O. A. Scaldin

1975 ◽  
Vol 36 (1) ◽  
pp. 59-67 ◽  
Author(s):  
V. Vitek ◽  
M. Kléman

1975 ◽  
Vol 36 (C1) ◽  
pp. C1-69-C1-76 ◽  
Author(s):  
L. M. BLINOV ◽  
V. A. KIZEL ◽  
V. G. RUMYANTSEV ◽  
V. V. TITOV

2017 ◽  
Vol 13 (2) ◽  
pp. 4705-4717
Author(s):  
Zhang Qian ◽  
Zhou Xuan ◽  
Zhang Zhidong

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.


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