Publication: Research › Article in proceedings – Annual report year: 2006
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.
|Title of host publication||Proceedings of the Comsol Conference|
|Number of pages||150|
|Place of Publication||Copenhagen, Denmark|
|State||Published - 2006|
|Event||Nordic Comsol Conference - Kgs. Lyngby, Denmark|
|Conference||Nordic Comsol Conference|
|City||Kgs. Lyngby, Denmark|
|Period||01/01/2006 → …|
- nonlinear dynamics, phase transition, Ginzburg-Landau model, Superconductivity
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