Computation of the Nonlinear Magnetic Response of a Three Dimensional Anisotropic Superconductor

Details Computation of the Nonlinear Magnetic Response of a Three Dimensional Anisotropic Superconductor Computation of the Nonlinear Magnetic Response of a Three Dimensional Anisotropic Superconductor

1997-12-17

arxiv.org/abs/cond-mat/9712210v1

Physics

Condensed Matter

Superconductivity

Three pages. To appear in Journal of Applied Physics (MMM-Intermag issue)

Scientific paper

10.1063/1.367560

Many problems in computational magnetics involve computation of fields which decay within a skin depth $\delta$, much smaller than the sample size $d$. We discuss here a novel perturbation method which exploits the smallness of $\epsilon \equiv \delta / d$ and the asymptotic behavior of the solution in the exterior and interior of a sample. To illustrate this procedure we consider the computation of the magnetic dipole and quadrupole moments of an anisotropic, unconventional, three dimensional superconductor. The method significantly reduces the required numerical work and can be implemented in different numerical algorithms.

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