scholarly journals On the non-degeneracy of radial vortex solutions for a coupled Ginzburg-Landau system

2021 ◽  
Vol 0 (0) ◽  
pp. 0
Author(s):  
Lipeng Duan ◽  
Jun Yang
Keyword(s):  
Ginzburg Landau ◽  
Vortex Solutions

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.

scholarly journals Uniqueness of Symmetric Vortex Solutions in the Ginzburg–Landau Model of Superconductivity

1999 ◽  
Vol 167 (2) ◽  
pp. 399-424 ◽  
Author(s):  
Stan Alama ◽  
Lia Bronsard ◽  
Tiziana Giorgi
Keyword(s):  
Ginzburg Landau ◽  
Landau Model ◽  
Vortex Solutions

Shooting method for vortex solutions of a complex-valued Ginzburg–Landau equation

1994 ◽  
Vol 124 (6) ◽  
pp. 1075-1088 ◽  
Author(s):  
Xinfu Chen ◽  
Charles M. Elliott ◽  
Tang Qi
Keyword(s):  
Real Number ◽  
Shooting Method ◽  
Landau Equation ◽  
Stationary Solutions ◽  
Polar Coordinates ◽  
Ginzburg Landau ◽  
Nonzero Constant ◽  
Ginzburg Landau Equation ◽  
Vortex Solutions ◽  
Complex Valued

In this paper, we study all the stationary solutions of the form u(r)einθ to the complex-valued Ginzburg–Landau equation on the complex plane: here (r, θ) are the polar coordinates, and n is any real number. In particular, we show that there exists a unique solution which approaches to a nonzero constant as r → ∞.

Bifurcation of vortex and boundary-vortex solutions in a Ginzburg–Landau model

Nonlinearity ◽  
2007 ◽  
Vol 20 (4) ◽  
pp. 943-964
Author(s):  
Chao-Nien Chen ◽  
Yoshihisa Morita
Keyword(s):  
Ginzburg Landau ◽  
Landau Model ◽  
Vortex Solutions

Duality and color confinement in restricted gauge theory

2000 ◽  
Vol 77 (10) ◽  
pp. 795-811
Author(s):  
JMS Rana
Keyword(s):  
Gauge Theory ◽  
Quantum Chromodynamics ◽  
Coherence Length ◽  
Landau Theory ◽  
London Penetration Depth ◽  
Ginzburg Landau ◽  
Energy Functions ◽  
Color Confinement ◽  
Vortex Solutions ◽  
Flux Energy

Using electromagnetic duality, the isocolor charge-dyon interactions were studied in restricted quantum chromodynamics (RCD) in terms of current-current correlations in the magnetic gauge using the dielectric and permeability parameters of the associated vacuum. The resulting 1/k4 behaviour of the dual propagators is interpreted as a signature of confinement for the corresponding colored fluxes of the theory. Evaluating the vortex solutions of RCD semi-quantitatively, in accordance with Higgs-Ginzburg-Landau theory, expressions for London penetration depth, coherence length, and associated flux energy functions for types I and II superconducting media are derived and an analogy of the type of superconducting medium with the bag model and string picture of hadrons is discussed.PACS Nos.: 11.30 Jw, 14.80 Hv, 12.38 Aw

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