scholarly journals The global minimizers and vortex solutions to a Ginzburg-Landau model of superconducting films

2002 ◽  
Vol 1 (3) ◽  
pp. 327-340 ◽  
Author(s):  
Shijin Ding ◽  
◽  
Qiang Du ◽  
Keyword(s):  
Superconducting Films ◽  
Ginzburg Landau ◽  
Landau Model ◽  
Global Minimizers ◽  
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

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

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
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