Director configuration and dynamics of a nematic liquid crystal around a two-dimensional spherical particle: Numerical analysis using adaptive grids

2001 ◽  
Vol 4 (3) ◽  
pp. 389-396 ◽  
Author(s):  
J. Fukuda ◽  
H. Yokoyama
Keyword(s):  
Liquid Crystal ◽  
Numerical Analysis ◽  
Spherical Particle ◽  
Nematic Liquid Crystal ◽  
Two Dimensional ◽  
Adaptive Grids

Effect of a Hydrodynamic Flow on the Orientation Profiles of a Nematic Liquid Crystal Around a Spherical Particle

2005 ◽  
Vol 435 (1) ◽  
pp. 75/[735]-85/[745] ◽  
Author(s):  
Makoto Yoneya ◽  
Jun-Ichi Fukuda ◽  
Hiroshi Yokoyama ◽  
Holger Stark
Keyword(s):  
Liquid Crystal ◽  
Spherical Particle ◽  
Nematic Liquid Crystal ◽  
Hydrodynamic Flow

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.

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