Convergence to Equilibrium for Parabolic-Hyperbolic Time-Dependent Ginzburg–Landau–Maxwell Equations

2009 ◽  
Vol 40 (5) ◽  
pp. 2007-2033 ◽  
Author(s):  
Maurizio Grasselli ◽  
Hao Wu ◽  
Songmu Zheng
Keyword(s):  
Maxwell Equations ◽  
Time Dependent ◽  
Convergence To Equilibrium ◽  
Ginzburg Landau

scholarly journals Parabolic-hyperbolic time-dependent Ginzburg-Landau-Maxwell equations

2006 ◽  
Vol 64 (4) ◽  
pp. 617-639 ◽  
Author(s):  
Valeria Berti ◽  
Stefania Gatti
Keyword(s):  
Maxwell Equations ◽  
Time Dependent ◽  
Ginzburg Landau

The time-dependent Ginzburg–Landau Maxwell equations

1999 ◽  
Vol 37 (2) ◽  
pp. 187-216 ◽  
Author(s):  
Masayoshi Tsutsumi ◽  
Hironori Kasai
Keyword(s):  
Maxwell Equations ◽  
Time Dependent ◽  
Ginzburg Landau

scholarly journals The impact of the electric field on superconductivity in the time-dependent Ginzburg–Landau theory

2019 ◽  
Vol 33 (32) ◽  
pp. 1950384
Author(s):  
N. Karchev ◽  
T. Vetsov
Keyword(s):  
Critical Temperature ◽  
Electric Field ◽  
Normal State ◽  
Maxwell Equations ◽  
Landau Theory ◽  
Bose Condensate ◽  
Time Dependent ◽  
Cooper Pairs ◽  
Ginzburg Landau ◽  
The Impact

In this paper, we address the impact of the electric field on superconductors which are insulators in the normal state, semiconductors at low carrier concentration and ultracold gas of fermions in the strongly interacting regime. The electric field penetrates these systems and effects on the Cooper pairs. We show that if there are Cooper pairs above the superconductor critical temperature, the electric field forces the Cooper pairs to Bose condensate and the onset of the superconductivity, thereby increasing the critical temperature. To study this phenomenon, we numerically solve the Maxwell equations for [Formula: see text]-wave superconductors obtained from the time-dependent Ginzburg–Landau theory. Our investigation designs an experimental way for verification of the pairing of Fermions preceding superconductivity and superfluidity.

scholarly journals Possible Alterations of Local Gravitational Field Inside a Superconductor

Entropy ◽  
2021 ◽  
Vol 23 (2) ◽  
pp. 193 ◽  
Author(s):  
Giovanni Alberto Ummarino ◽  
Antonio Gallerati
Keyword(s):  
Gravitational Field ◽  
Landau Theory ◽  
Time Dependent ◽  
Qualitative Comparison ◽  
Ginzburg Landau ◽  
High Tc ◽  
Gravitational Fields ◽  
Favorable Conditions

We calculate the possible interaction between a superconductor and the static Earth’s gravitational fields, making use of the gravito-Maxwell formalism combined with the time-dependent Ginzburg–Landau theory. We try to estimate which are the most favorable conditions to enhance the effect, optimizing the superconductor parameters characterizing the chosen sample. We also give a qualitative comparison of the behavior of high–Tc and classical low–Tc superconductors with respect to the gravity/superfluid interplay.

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

scholarly journals Nonstationary Superconductivity: Quantum Dissipation and Time-Dependent Ginzburg-Landau Equation

2011 ◽  
Vol 2011 ◽  
pp. 1-10
Author(s):  
Anatoly A. Barybin
Keyword(s):  
Order Parameter ◽  
Continuity Equation ◽  
Chemical Potential ◽  
Landau Equation ◽  
Time Dependent ◽  
Quantum Dissipation ◽  
Ginzburg Landau ◽  
Superfluid Component ◽  
Ginzburg Landau Equation ◽  
Conservation Property

Transport equations of the macroscopic superfluid dynamics are revised on the basis of a combination of the conventional (stationary) Ginzburg-Landau equation and Schrödinger's equation for the macroscopic wave function (often called the order parameter) by using the well-known Madelung-Feynman approach to representation of the quantum-mechanical equations in hydrodynamic form. Such an approach has given (a) three different contributions to the resulting chemical potential for the superfluid component, (b) a general hydrodynamic equation of superfluid motion, (c) the continuity equation for superfluid flow with a relaxation term involving the phenomenological parameters and , (d) a new version of the time-dependent Ginzburg-Landau equation for the modulus of the order parameter which takes into account dissipation effects and reflects the charge conservation property for the superfluid component. The conventional Ginzburg-Landau equation also follows from our continuity equation as a particular case of stationarity. All the results obtained are mutually consistent within the scope of the chosen phenomenological description and, being model-neutral, applicable to both the low- and high- superconductors.

Geometric effect on the vortex configuration and motion in mesoscopic superconducting cylinders

2015 ◽  
Vol 29 (03) ◽  
pp. 1550009 ◽  
Author(s):  
Shan-Shan Wang ◽  
Guo-Qiao Zha
Keyword(s):  
Phase Transitions ◽  
Vortex Dynamics ◽  
Axial Symmetry ◽  
Time Dependent ◽  
Vortex Matter ◽  
Ginzburg Landau ◽  
Geometric Effect ◽  
Multiply Connected ◽  
Vortex States ◽  
Ginzburg Landau Equations

Based on the time-dependent Ginzburg–Landau equations, we study numerically the vortex configuration and motion in mesoscopic superconducting cylinders. We find that the effects of the geometric symmetry of the system and the noncircular multiply-connected boundaries can significantly influence the steady vortex states and the vortex matter moving. For the square cylindrical loops, the vortices can enter the superconducting region in multiples of 2 and the vortex configuration exhibits the axial symmetry along the square diagonal. Moreover, the vortex dynamics behavior exhibits more complications due to the existed centered hole, which can lead to the vortex entering from different edges and exiting into the hole at the phase transitions.

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