Numerically Implemented Perturbation Method for the Nonlinear Magnetic Moment of an Anisotropic Superconductor

We present a method to compute the magnetic moment of a bulk, finite-size, three-dimensional, anisotropic superconductor. Our numerically implemented perturbative procedure is based on a solution of the nonlinear Maxwell–London electrodynamic equations, where we include the nonlinear relation betwee...

Full description

Saved in:
Bibliographic Details
Published in:Journal of computational physics 1997-09, Vol.136 (2), p.337-353
Main Authors: Žutić, Igor, Valls, Oriol T.
Format: Article
Language:English
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We present a method to compute the magnetic moment of a bulk, finite-size, three-dimensional, anisotropic superconductor. Our numerically implemented perturbative procedure is based on a solution of the nonlinear Maxwell–London electrodynamic equations, where we include the nonlinear relation between current and gauge invariant velocity. The method exploits the small ratio of the finite penetration depths to the sample size. We show how to treat the open boundary conditions over an infinite domain and the continuity requirement at the interface. We demonstrate how our method substantially reduces the computational work required, and discuss its implementation to an oblate spheroid. The numerical solution is obtained from a finite-difference method. We briefly discuss the relevance of this work to similar problems in other fields.
ISSN:0021-9991
1090-2716
DOI:10.1006/jcph.1997.5739