A Variational Problem Related to the Ginzburg--Landau Model of Superconductivity with Normal Impurity Inclusion

Superconductivity: Ginzburg-Landau Theory

Analysis and Approximation of the Ginzburg-Landau Model of Superconductivity

The authors consider the Ginzburg-Landau model for superconductivity. First some well-known features of superconducting materials are reviewed and then various results concerning the model, the resultant differential equations, and their solution on bounded domains are derived. Then, finite element approximations of the solutions of the Ginzburg-Landau equations are considered and error estimat...

Justification of a two dimensional evolutionary Ginzburg-Landau superconductivity model

It is proved that a two dimensional evolutionary Ginzburg-Landau superconductivity model is an approximation of acorresponding thin plate three dimensional superconductivity model when the thickness of the plate uniformly approaches zero Some relatedtopics such as existence ofweak solutions to the three dimensional variable thickness model and the convergence when the variable thickness...

Pinning phenomena in the Ginzburg-Landau Model of Superconductivity

We study the Ginzburg-Landau energy of superconductors with a term aε modelling the pinning of vortices by impurities in the limit of a large Ginzburg-Landau parameter κ = 1/ε. The function aε is oscillating between 1/2 and 1 with a scale which may tend to 0 as κ tends to infinity. Our aim is to understand that in the large κ limit, stable configurations should correspond to vortices pinned at ...

The Ginzburg-Landau Equations for Superconductivity with Random Fluctuations

Thermal fluctuations and material inhomogeneities have a large effect on superconducting phenomena, possibly inducing transitions to the non-superconducting state. To gain a better understanding of these effects, the Ginzburg–Landau model is studied in situations for which the described physical processes are subject to uncertainty. An adequate description of such processes is possible with the...