GAUGES FOR THE GINZBURG-LANDAU EQUATIONS OF SUPERCONDUCTIVITY

Citation
J. Fleckingerpelle et Hg. Kaper, GAUGES FOR THE GINZBURG-LANDAU EQUATIONS OF SUPERCONDUCTIVITY, Zeitschrift fur angewandte Mathematik und Mechanik, 76, 1996, pp. 345-348
Citations number
12
Categorie Soggetti
Mathematics,"Mathematical Method, Physical Science",Mechanics,Mathematics
ISSN journal
00442267
Volume
76
Year of publication
1996
Supplement
2
Pages
345 - 348
Database
ISI
SICI code
0044-2267(1996)76:<345:GFTGEO>2.0.ZU;2-X
Abstract
This note is concerned with gauge choices for the time-dependent GINZB URG-LANDAU equations of superconductivity. The equations model the sta te of a superconducting sample in a magnetic field near the critical t emperature. Any two solutions related through a ''gauge transformation '' describe the same state and are physically indistinguishable. This ''gauge invariance'' can be exploited for analytical and numerical pur poses. A new gauge is proposed, which reduces the equations to a parti cularly attractive form.