Conference paper
The Ginzburg-Landau Equation Solved by the Finite Element Method
Cognitive Systems, Department of Informatics and Mathematical Modeling, Technical University of Denmark1
Department of Informatics and Mathematical Modeling, Technical University of Denmark2
Dynamical systems, Department of Mathematics, Technical University of Denmark3
Department of Mathematics, Technical University of Denmark4
Electric Power Engineering, Department of Electrical Engineering, Technical University of Denmark5
Department of Electrical Engineering, Technical University of Denmark6
University of Southern Denmark7
Around 1950 V.L. Ginzburg and L.D. Landau proposed a phenomenological theory for phase transitions1. The theory is based on a phenomenological Schrödinger equation with a φ-4 potential and a kinetic term involving the momentum operator. One of the more successful applications of the theory is to superconductivity and in particular to superconductors placed in a magnetic field.
Superconductors expel magnetic fields from the inside bulk by setting up screening currents in the surface (type I superconductors). However, some supercon-ductors allow for magnetic field penetration through quantized current vortices when the magnetic field exceeds a threshold value. These superconductors are called type II supercon-ductors.
In this article we solve numerically the time dependent Ginzburg-Landau equation coupled to a magnetic field for type II superconductors of complex geometry, where the finite element method is particularly suited.
| Language: | English |
|---|---|
| Publisher: | COMSOL Inc. |
| Year: | 2006 |
| Pages: | 75-78 |
| Proceedings: | Nordic Comsol Conference |
| ISBN: | 8798942611 and 9788798942610 |
| Types: | Conference paper |
| ORCIDs: | Alstrøm, Tommy Sonne and Sørensen, Mads Peter |
