The ground state energy of the three dimensional Ginzburg-Landau functional. Part II: Surface regime
(2013) In Journal des Mathématiques Pures et Appliquées 99(3). p.343-374- Abstract
- We study the Ginzburg-Landau model of superconductivity in three dimensions and for strong external magnetic fields. For magnetic field strengths above the phenomenologically defined second critical field it is known from Physics that superconductivity should be essentially restricted to a region near the boundary. We prove that the expected region does indeed carry superconductivity. Furthermore, we give precise energy estimates valid also in the regime around the second critical field which display the transition from bulk superconductivity to surface superconductivity. (C) 2012 Elsevier Masson SAS. All rights reserved.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/4215933
- author
- Fournais, Søren ; Kachmar, Ayman and Persson Sundqvist, Mikael LU
- organization
- publishing date
- 2013
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- Ginzburg-Landau functional, Thermodynamic limits, Elliptic estimates, Variational methods, Magnetic Schrodinger operators, Semiclassical, analysis
- in
- Journal des Mathématiques Pures et Appliquées
- volume
- 99
- issue
- 3
- pages
- 343 - 374
- publisher
- Elsevier
- external identifiers
-
- wos:000326359700007
- scopus:84873570698
- ISSN
- 0021-7824
- DOI
- 10.1016/j.matpur.2012.09.002
- language
- English
- LU publication?
- yes
- id
- 16afa2d8-c7c1-4a6c-a2fb-9d6b3e4d0ab4 (old id 4215933)
- date added to LUP
- 2016-04-01 13:50:48
- date last changed
- 2022-04-14 03:27:23
@article{16afa2d8-c7c1-4a6c-a2fb-9d6b3e4d0ab4, abstract = {{We study the Ginzburg-Landau model of superconductivity in three dimensions and for strong external magnetic fields. For magnetic field strengths above the phenomenologically defined second critical field it is known from Physics that superconductivity should be essentially restricted to a region near the boundary. We prove that the expected region does indeed carry superconductivity. Furthermore, we give precise energy estimates valid also in the regime around the second critical field which display the transition from bulk superconductivity to surface superconductivity. (C) 2012 Elsevier Masson SAS. All rights reserved.}}, author = {{Fournais, Søren and Kachmar, Ayman and Persson Sundqvist, Mikael}}, issn = {{0021-7824}}, keywords = {{Ginzburg-Landau functional; Thermodynamic limits; Elliptic estimates; Variational methods; Magnetic Schrodinger operators; Semiclassical; analysis}}, language = {{eng}}, number = {{3}}, pages = {{343--374}}, publisher = {{Elsevier}}, series = {{Journal des Mathématiques Pures et Appliquées}}, title = {{The ground state energy of the three dimensional Ginzburg-Landau functional. Part II: Surface regime}}, url = {{http://dx.doi.org/10.1016/j.matpur.2012.09.002}}, doi = {{10.1016/j.matpur.2012.09.002}}, volume = {{99}}, year = {{2013}}, }