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- Title
Energy asymptotics for Type II superconductors.
- Authors
Fournais, S.; Helffer, B.
- Abstract
We study the Ginzburg–Landau functional in the parameter regime describing ‘Type II superconductors’. In the exact regime considered minimizers are localized to the boundary — i.e. the sample is only superconducting in the boundary region. Depending on the relative size of different parameters we describe the concentration behavior and give leading order energy asymptotics. This generalizes previous results by Lu–Pan, Helffer–Pan, and Pan.
- Subjects
SUPERCONDUCTORS; SOLID state electronics; ASYMPTOTIC expansions; STOCHASTIC convergence; FORCE &; energy; MATHEMATICAL functions
- Publication
Calculus of Variations & Partial Differential Equations, 2005, Vol 24, Issue 3, p341
- ISSN
0944-2669
- Publication type
Article
- DOI
10.1007/s00526-005-0333-x