Domain growth in the two-dimensional time-dependent Ginzburg-Landau model in the presence of a random magnetic field

1990 ◽  
Vol 42 (1) ◽  
pp. 704-708 ◽  
Author(s):  
Enis Oguz ◽  
Amitabha Chakrabarti ◽  
Raul Toral ◽  
James D. Gunton
Keyword(s):  
Magnetic Field ◽  
Time Dependent ◽  
Domain Growth ◽  
Two Dimensional ◽  
Ginzburg Landau ◽  
Landau Model ◽  
Random Magnetic Field

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

Two-dimensional electron in a random magnetic field

1994 ◽  
Vol 49 (5) ◽  
pp. 3340-3346 ◽  
Author(s):  
Armelle Barelli ◽  
Robert Fleckinger ◽  
Timothy Ziman
Keyword(s):  
Magnetic Field ◽  
Two Dimensional ◽  
Dimensional Electron ◽  
Random Magnetic Field

On the minimizers of the Ginzburg–Landau energy for high kappa: the one-dimensional case

1997 ◽  
Vol 8 (4) ◽  
pp. 331-345 ◽  
Author(s):  
AMANDINE AFTALION
Keyword(s):  
Magnetic Field ◽  
Asymptotic Behaviour ◽  
Dimensional Case ◽  
Numerical Computations ◽  
Ginzburg Landau ◽  
Landau Model ◽  
One Dimensional ◽  
Landau Parameter ◽  
Convergence Results ◽  
The One

The Ginzburg–Landau model for superconductivity is examined in the one-dimensional case. First, putting the Ginzburg–Landau parameter κ formally equal to infinity, the existence of a minimizer of this reduced Ginzburg–Landau energy is proved. Then asymptotic behaviour for large κ of minimizers of the full Ginzburg–Landau energy is analysed and different convergence results are obtained, according to the exterior magnetic field. Numerical computations illustrate the various behaviours.

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