Vertically Stacked Soliton‐Like Domain Walls in Nematic Liquid Crystals

2021 ◽  
pp. 2100252
Author(s):  
Reed Jones ◽  
Olha Melnyk ◽  
Rair Macêdo ◽  
Robert E. Camley
Keyword(s):  
Liquid Crystals ◽  
Domain Walls ◽  
Nematic Liquid Crystals

scholarly journals Dynamics of cylindrical domain walls in nematic liquid crystals

1997 ◽  
Vol 56 (2) ◽  
pp. 1784-1790 ◽  
Author(s):  
Joachim Stelzer ◽  
Henryk Arodź
Keyword(s):  
Liquid Crystals ◽  
Domain Walls ◽  
Nematic Liquid Crystals ◽  
Cylindrical Domain

scholarly journals Gradient theory of domain walls in thin, nematic liquid crystals films

2019 ◽  
Vol 22 (07) ◽  
pp. 1950063
Author(s):  
Marcel G. Clerc ◽  
Michał Kowalczyk ◽  
Panayotis Smyrnelis
Keyword(s):  
Phase Transition ◽  
Liquid Crystal ◽  
Liquid Crystals ◽  
External Field ◽  
Nematic Liquid Crystal ◽  
Domain Walls ◽  
Nematic Liquid Crystals ◽  
Gradient Theory ◽  
Crystal Sample ◽  
Bistable Region

In this paper, we describe domain walls appearing in a thin, nematic liquid crystal sample subject to an external field with intensity close to the Fréedericksz transition threshold. Using the gradient theory of the phase transition adapted to this situation, we show that depending on the parameters of the system, domain walls occur in the bistable region or at the border between the bistable and the monostable region.

Domain Walls in Bixial Nematic Liquid Crystals

2013 ◽  
Vol 28 (3) ◽  
pp. 301-304
Author(s):  
李健 李健 ◽  
周璇 周璇 ◽  
王晓燕 王晓燕 ◽  
徐洪亮 徐洪亮 ◽  
张志东 张志东
Keyword(s):  
Liquid Crystals ◽  
Domain Walls ◽  
Nematic Liquid Crystals

scholarly journals Multiple Novels and Accurate Traveling Wave and Numerical Solutions of the (2+1) Dimensional Fisher-Kolmogorov- Petrovskii-Piskunov Equation

Mathematics ◽  
2021 ◽  
Vol 9 (12) ◽  
pp. 1440
Author(s):  
Mostafa M. A. Khater ◽  
Aliaa Mahfooz Alabdali
Keyword(s):  
Population Genetics ◽  
Liquid Crystals ◽  
Analytical Solutions ◽  
Evolution Equations ◽  
Domain Walls ◽  
Numerical Solutions ◽  
Nematic Liquid Crystals ◽  
Reaction Diffusion ◽  
Nonlinear Evolution Equations ◽  
Absolute Value

The analytical and numerical solutions of the (2+1) dimensional, Fisher-Kolmogorov-Petrovskii-Piskunov ((2+1) D-Fisher-KPP) model are investigated by employing the modified direct algebraic (MDA), modified Kudryashov (MKud.), and trigonometric-quantic B-spline (TQBS) schemes. This model, which arises in population genetics and nematic liquid crystals, describes the reaction–diffusion system by traveling waves in population genetics and the propagation of domain walls, pattern formation in bi-stable systems, and nematic liquid crystals. Many novel analytical solutions are constructed. These solutions are used to evaluate the requested numerical technique’s conditions. The numerical solutions of the considered model are studied, and the absolute value of error between analytical and numerical is calculated to demonstrate the matching between both solutions. Some figures are represented to explain the obtained analytical solutions and the match between analytical and numerical results. The used schemes’ performance shows their effectiveness and power and their ability to handle many nonlinear evolution equations.

The electrohydrodynamic instability in twisted nematic liquid crystals

1994 ◽  
Vol 4 (2) ◽  
pp. 239-252 ◽  
Author(s):  
A. Hertrich ◽  
A. P. Krekhov ◽  
O. A. Scaldin
Keyword(s):  
Liquid Crystals ◽  
Nematic Liquid Crystals ◽  
Electrohydrodynamic Instability ◽  
Twisted Nematic

Surface disclinations in nematic liquid crystals

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