Abstract
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.
| Original language | English |
|---|---|
| Title of host publication | Proceedings of the Comsol Conference |
| Editors | Lars Gregersen |
| Number of pages | 150 |
| Place of Publication | Copenhagen, Denmark |
| Publisher | COMSOL Inc. |
| Publication date | 2006 |
| Pages | 75-78 |
| ISBN (Print) | 87-989426-1-1 |
| Publication status | Published - 2006 |
| Event | Nordic Comsol Conference - Kgs. Lyngby, Denmark Duration: 1 Nov 2006 → 2 Nov 2006 |
Conference
| Conference | Nordic Comsol Conference |
|---|---|
| Country/Territory | Denmark |
| City | Kgs. Lyngby |
| Period | 01/11/2006 → 02/11/2006 |
Keywords
- nonlinear dynamics
- phase transition
- Ginzburg-Landau model
- Superconductivity