scholarly journals Instability of point defects in a two-dimensional nematic liquid crystal model

2016 ◽  
Vol 33 (4) ◽  
pp. 1131-1152 ◽  
Author(s):  
Radu Ignat ◽  
Luc Nguyen ◽  
Valeriy Slastikov ◽  
Arghir Zarnescu
Keyword(s):  
Liquid Crystal ◽  
Nematic Liquid Crystal ◽  
Point Defects ◽  
Two Dimensional ◽  
Crystal Model

scholarly journals Tunable two-dimensional polarization grating using a self-organized micropixelated liquid crystal structure

RSC Advances ◽  
2018 ◽  
Vol 8 (72) ◽  
pp. 41472-41479 ◽  
Author(s):  
Reo Amano ◽  
Péter Salamon ◽  
Shunsuke Yokokawa ◽  
Fumiaki Kobayashi ◽  
Yuji Sasaki ◽  
...  
Keyword(s):  
Crystal Structure ◽  
Liquid Crystal ◽  
Nematic Liquid Crystal ◽  
Topological Defects ◽  
Self Organization ◽  
Two Dimensional ◽  
Self Organized ◽  
Optical Grating ◽  
Liquid Crystal Structure ◽  
Polarization Grating

A micro-pixelated pattern of a nematic liquid crystal formed by self-organization of topological defects is shown to work as a tunable two-dimensional optical grating.

scholarly journals Order reconstruction patterns in nematic liquid crystal wells

2014 ◽  
Vol 470 (2169) ◽  
pp. 20140276 ◽  
Author(s):  
Samo Kralj ◽  
Apala Majumdar
Keyword(s):  
Liquid Crystal ◽  
Cross Section ◽  
Nematic Liquid Crystal ◽  
Correlation Length ◽  
Critical Threshold ◽  
Two Dimensional ◽  
Liquid Crystal Material ◽  
Order Reconstruction ◽  
Anchoring Strength ◽  
Gennes Theory

We numerically study structural transitions inside shallow sub-micrometre scale wells with square cross section, filled with nematic liquid crystal material. We model the wells within the Landau–de Gennes theory. We obtain two qualitatively different states: (i) the diagonal state with defects for relatively large wells with lateral dimension greater than a critical threshold and (ii) a new, two-dimensional star-like biaxial order reconstruction pattern called the well order-reconstruction structure (WORS), for wells smaller than the critical threshold. The WORS is defined by an uniaxial cross connecting the four vertices of the square cross section. We numerically compute the critical threshold in terms of the bare biaxial correlation length and study its dependence on the temperature and on the anchoring strength on the lateral well surfaces.

POINT DEFECTS IN NEMATIC LIQUID CRYSTAL MATERIALS WITH CONICAL ANCHORING AT THE INTERFACE

2020 ◽  
Vol 21 (3) ◽  
pp. 433-440
Author(s):  
M. N. Krakhalev ◽  
◽  
V. F. Shabanov ◽  
V. Ya. Zyryanov ◽  
◽  
...  
Keyword(s):  
Liquid Crystal ◽  
Nematic Liquid Crystal ◽  
Point Defects ◽  
Liquid Crystal Materials

scholarly journals On Regularity Criteria for the Two-Dimensional Generalized Liquid Crystal Model

2014 ◽  
Vol 2014 ◽  
pp. 1-8
Author(s):  
Yanan Wang ◽  
Zaihong Jiang
Keyword(s):  
Liquid Crystal ◽  
Global Existence ◽  
Existence Results ◽  
Regularity Criteria ◽  
Two Dimensional ◽  
Crystal Model

We establish the regularity criteria for the two-dimensional generalized liquid crystal model. It turns out that the global existence results satisfy our regularity criteria naturally.

scholarly journals Reproductivity for a nematic liquid crystal model

2006 ◽  
Vol 57 (6) ◽  
pp. 984-998 ◽  
Author(s):  
Blanca Climent-Ezquerra ◽  
Francisco Guillén-González ◽  
Marko Rojas-Medar
Keyword(s):  
Liquid Crystal ◽  
Nematic Liquid Crystal ◽  
Crystal Model
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