scholarly journals Adiabatic Approximation for the Motion of Ginzburg-Landau Vortex Filaments

2021 ◽  
Author(s):  
Jingxuan Zhang
Keyword(s):  
Adiabatic Approximation ◽  
Ginzburg Landau ◽  
Vortex Filaments

scholarly journals Attempt to Describe Phase Slips by Means of an Adiabatic Approximation

2021 ◽  
Author(s):  
Jorge Berger
Keyword(s):  
Superconducting State ◽  
Adiabatic Approximation ◽  
Landau Equation ◽  
Time Derivative ◽  
Time Dependent ◽  
Critical Voltage ◽  
Ginzburg Landau ◽  
Phase Drift ◽  
Derivative Term ◽  
Phase Slips

Abstract As a plausibility test for the feasibility of extension of the quasiclassical Keldysh–Usadel technique to slowly varying situations, we assess the influence of the time-derivative term in the time-dependent Ginzburg–Landau equation. We consider cases in which the superconducting state in a nanowire varies slowly, either because the voltage applied on it is small, or because most of phase drift takes place next to the boundaries. An approximation without this time derivative can describe the superconducting state away from phase slips, but is unable to predict the value or the existence of a critical voltage at which evolution becomes non-stationary.

Renormalized energy of interacting Ginzburg-Landau vortex filaments

2008 ◽  
Vol 77 (3) ◽  
pp. 647-665 ◽  
Author(s):  
Manuel Del Pino ◽  
Michał Kowalczyk
Keyword(s):  
Ginzburg Landau ◽  
Vortex Filaments ◽  
Renormalized Energy

scholarly journals Nearly Parallel Vortex Filaments in the 3D Ginzburg–Landau Equations

2017 ◽  
Vol 27 (5) ◽  
pp. 1161-1230 ◽  
Author(s):  
Andres Contreras ◽  
Robert L. Jerrard
Keyword(s):  
Ginzburg Landau ◽  
Vortex Filaments ◽  
Ginzburg Landau Equations

Reconnection of vortex filaments in the complex Ginzburg-Landau equation

1998 ◽  
Vol 58 (2) ◽  
pp. 2576-2579 ◽  
Author(s):  
Michael Gabbay ◽  
Edward Ott ◽  
Parvez N. Guzdar
Keyword(s):  
Landau Equation ◽  
Ginzburg Landau ◽  
Vortex Filaments ◽  
Ginzburg Landau Equation
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