Numerical solutions to the mass tensor form of the Ginzburg-Landau equations

Author

Herd, K.G.

Author_Institution

General Electric Corp. Res. & Dev. Center, Schenectady, NY, USA

Volume

3

Issue

1

fYear

1993

fDate

3/1/1993 12:00:00 AM

Firstpage

1409

Lastpage

1412

Abstract

The finite-element method (FEM) has been used to solve the mass-tensor form of the Ginzburg-Landau equations. The spatial variation of the local magnetic flux density, the supercurrent density, and the superelectron pair density has been computed for the anisotropic vortex lattice structure. The Gibbs free energy of the triangular vortex lattice was found to be less than that of the rectangular vortex lattice for all applied fields between the lower critical field and the upper critical field.<>

Keywords

Ginzburg-Landau theory; finite element analysis; flux-line lattice; free energy; mixed state; FEM; Gibbs free energy; Ginzburg-Landau equations; anisotropic vortex lattice structure; finite-element method; local magnetic flux density; lower critical field; mass-tensor form; numerical solutions; superconductivity; supercurrent density; superelectron pair density; upper critical field; Anisotropic magnetoresistance; Ceramics; Finite element methods; Lattices; Magnetic flux density; Magnetic materials; Nonlinear equations; Superconducting materials; Superconductivity; Tensile stress;

fLanguage

English

Journal_Title

Applied Superconductivity, IEEE Transactions on

Publisher

ieee

ISSN

1051-8223

Type

jour

DOI

10.1109/77.233634

Filename

233634