scholarly journals Uniqueness Results for an ODE Related to a Generalized Ginzburg--Landau Model for Liquid Crystals

2014 ◽  
Vol 46 (5) ◽  
pp. 3390-3425 ◽  
Author(s):  
Radu Ignat ◽  
Luc Nguyen ◽  
Valeriy Slastikov ◽  
Arghir Zarnescu
Keyword(s):  
Liquid Crystals ◽  
Ginzburg Landau ◽  
Landau Model ◽  
Uniqueness Results

EXCITABLE SPIRAL WAVES IN NEMATIC LIQUID CRYSTALS

1994 ◽  
Vol 04 (05) ◽  
pp. 1173-1182 ◽  
Author(s):  
P. COULLET ◽  
F. PLAZA
Keyword(s):  
Liquid Crystals ◽  
Electric Field ◽  
Nematic Liquid Crystals ◽  
Spiral Wave ◽  
Spiral Waves ◽  
Excitable Medium ◽  
Ginzburg Landau ◽  
Landau Model ◽  
Excitable System ◽  
Mechanical Analog

A mechanical analog of the chemical and biological excitable medium is proposed. In nematic liquid crystals, the Freedericksz transition induced by a rotating tilted electric field provides a simple example of such a mechanical excitable system. We study this transition, derive a Ginzburg-Landau model for it, and show that the excitable spiral wave can be produced from a retractable finger-like soliton in this context.

scholarly journals Symmetry Breaking and Restoration in the Ginzburg–Landau Model of Nematic Liquid Crystals

2018 ◽  
Vol 28 (3) ◽  
pp. 1079-1107 ◽  
Author(s):  
Marcel G. Clerc ◽  
Michał Kowalczyk ◽  
Panayotis Smyrnelis
Keyword(s):  
Liquid Crystals ◽  
Symmetry Breaking ◽  
Nematic Liquid Crystals ◽  
Ginzburg Landau ◽  
Landau Model

scholarly journals A theory of giant vortices

2021 ◽  
Vol 2021 (8) ◽  
Author(s):  
Alexander A. Penin ◽  
Quinten Weller
Keyword(s):  
Asymptotic Expansion ◽  
Analytic Form ◽  
Scalar Fields ◽  
Winding Number ◽  
Asymptotic Results ◽  
Convergence Region ◽  
Ginzburg Landau ◽  
Landau Model ◽  
Neutral Scalar ◽  
Vortex Solutions

Abstract We elaborate a theory of giant vortices [1] based on an asymptotic expansion in inverse powers of their winding number n. The theory is applied to the analysis of vortex solutions in the abelian Higgs (Ginzburg-Landau) model. Specific properties of the giant vortices for charged and neutral scalar fields as well as different integrable limits of the scalar self-coupling are discussed. Asymptotic results and the finite-n corrections to the vortex solutions are derived in analytic form and the convergence region of the expansion is determined.

Growth of fluctuations in quenched time-dependent Ginzburg-Landau model systems

1978 ◽  
Vol 17 (1) ◽  
pp. 455-470 ◽  
Author(s):  
Kyozi Kawasaki ◽  
Mehmet C. Yalabik ◽  
J. D. Gunton
Keyword(s):  
Model Systems ◽  
Time Dependent ◽  
Ginzburg Landau ◽  
Landau Model

Random Ginzburg-Landau model revisited:  Reentrant phase transitions

2001 ◽  
Vol 63 (3) ◽  
Author(s):  
Javier Buceta ◽  
Juan M. R. Parrondo ◽  
F. Javier de la Rubia
Keyword(s):  
Phase Transitions ◽  
Ginzburg Landau ◽  
Landau Model

Soliton solutions for quintic complex Ginzburg-Landau model

2017 ◽  
Vol 110 ◽  
pp. 49-56 ◽  
Author(s):  
B. Nawaz ◽  
K. Ali ◽  
S.T.R. Rizvi ◽  
M. Younis
Keyword(s):  
Soliton Solutions ◽  
Ginzburg Landau ◽  
Landau Model
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