On the stability of normal states for a generalized Ginzburg-Landau model
| dc.creator | Kachmar, Ayman | |
| dc.date | 2006-09-08 | |
| dc.date | 2007-06-14 | |
| dc.date.accessioned | 2026-07-07T08:09:55Z | |
| dc.date.available | 2026-07-07T08:09:55Z | |
| dc.description | We formulate a spectral problem related to the onset of superconductivity for a generalized Ginzburg-Landau model, where the order parameter and the magnetic potential are defined in the whole space. This model is devoted to the `proximity effect' for a superconducting sample surrounded by a normal material. In the regime when the Ginzburg-Landau parameter (of the superconducting material) is large, we estimate the critical applied magnetic field for which the normal state will lose its stability, a result that has some roots in the physical literature. In some asymptotic situations, we recover results related to the `standard' Ginzburg-Landau model, where we mention in particular the two-term expansion for the upper critical field obtained by Helffer-Pan. | |
| dc.description | 52 pages (revised version) | |
| dc.identifier | https://arxiv.org/abs/math-ph/0609026 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0609026 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/131688 | |
| dc.subject | Mathematical Physics | |
| dc.subject | Spectral Theory | |
| dc.subject | 35P15 35Q55 82D55 | |
| dc.title | On the stability of normal states for a generalized Ginzburg-Landau model | |
| dc.type | text |