scholarly journals Modeling and Computation of Random Thermal Fluctuations and Material Defects in the Ginzburg–Landau Model for Superconductivity

2002 ◽  
Vol 181 (1) ◽  
pp. 45-67 ◽  
Author(s):  
Jennifer Deang ◽  
Qiang Du ◽  
Max D. Gunzburger
Keyword(s):  
Thermal Fluctuations ◽  
Ginzburg Landau ◽  
Landau Model ◽  
Material Defects

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

scholarly journals Pinning phenomena in the Ginzburg–Landau model of superconductivity

2001 ◽  
Vol 80 (3) ◽  
pp. 339-372 ◽  
Author(s):  
Amandine Aftalion ◽  
Etienne Sandier ◽  
Sylvia Serfaty
Keyword(s):  
Ginzburg Landau ◽  
Landau Model

scholarly journals Masses and phase structure in the Ginzburg-Landau model

1998 ◽  
Vol 57 (5) ◽  
pp. 3011-3016 ◽  
Author(s):  
K. Kajantie ◽  
M. Karjalainen ◽  
M. Laine ◽  
J. Peisa
Keyword(s):  
Phase Structure ◽  
Ginzburg Landau ◽  
Landau Model
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