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 Giorgi | 1 | 0 | 1.35 |
Robert G. Smits | 2 | 0 | 0.34 |