Title
Gauge Uniqueness of Solutions to the Ginzburg-Landau System for Small Superconducting Domains
Abstract
We study the Ginzburg-Landau system with an applied magnetic field for two-dimensional domains. For small bounded, smooth, and simply connected domains, we show that superconducting solutions are unique up to a gauge and that for this geometry, materials exhibit no hysteresis effects and no vortex nucleation for any kappa.
Year
DOI
Venue
2010
10.1137/080745146
SIAM JOURNAL ON MATHEMATICAL ANALYSIS
Keywords
Field
DocType
superconductivity,Ginzburg-Landau equations,gauge uniqueness,small domains
Uniqueness,Magnetic field,Superconductivity,Mathematical analysis,Vortex,Hysteresis,Landau theory,Gauge (firearms),Condensed matter physics,Bounded function,Physics
Journal
Volume
Issue
ISSN
42
1
0036-1410
Citations 
PageRank 
References 
0
0.34
1
Authors
2
Name
Order
Citations
PageRank
Tiziana Giorgi101.35
Robert G. Smits200.34