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October 2000 Critical points of the Ginzburg-Landau functional on multiply-connected domains
J. W. Neuberger, R. J. Renka
Experiment. Math. 9(4): 523-533 (October 2000).

Abstract

We give a numerical method for approximating critical points of the Ginzburg-Landau functional, and present test results in the form of plots of the corresponding electron densities, magnetic fields, and currents. Our domains include a rectangle, a rectangle with a rectangular hole in the center, and a rectangle with two rectangular holes. In each case, we found several critical points. The plots reveal interesting patterns, including the existence of counter-currents (adjacent currents in opposite directions).

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J. W. Neuberger. R. J. Renka. "Critical points of the Ginzburg-Landau functional on multiply-connected domains." Experiment. Math. 9 (4) 523 - 533, October 2000.

Information

Published: October 2000
First available in Project Euclid: 20 February 2003

zbMATH: 0974.65064
MathSciNet: MR1806290

Subjects:
Primary: 35J50 , 65K10 , 81V99
Secondary: 49M30

Keywords: Ginzburg-Landau functional , Sobolev gradient , superconductivity

Rights: Copyright © 2000 A K Peters, Ltd.

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Vol.9 • No. 4 • October 2000
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