TY - JOUR
T1 - Numerically implemented perturbation method for the nonlinear magnetic moment of an anisotropic superconductor
AU - Žutić, Igor
AU - Valls, Oriol T.
PY - 1997/9/15
Y1 - 1997/9/15
N2 - 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.
AB - 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.
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U2 - 10.1006/jcph.1997.5739
DO - 10.1006/jcph.1997.5739
M3 - Article
AN - SCOPUS:0031572125
SN - 0021-9991
VL - 136
SP - 337
EP - 353
JO - Journal of Computational Physics
JF - Journal of Computational Physics
IS - 2
ER -