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- Title
Thin domain limit and counterexamples to strong diamagnetism.
- Authors
Helffer, Bernard; Kachmar, Ayman
- Abstract
We study the magnetic Laplacian and the Ginzburg–Landau functional in a thin planar, smooth, tubular domain and with a uniform applied magnetic field. We provide counterexamples to strong diamagnetism, and as a consequence, we prove that the transition from the superconducting to the normal state is non-monotone. In some nonlinear regime, we determine the structure of the order parameter and compute the super-current along the boundary of the sample. Our results are in agreement with what was observed in the Little–Parks experiment, for a thin cylindrical sample.
- Subjects
DIAMAGNETISM; SUPERCONDUCTING transitions; MAGNETIC fields
- Publication
Reviews in Mathematical Physics, 2021, Vol 33, Issue 2, pN.PAG
- ISSN
0129-055X
- Publication type
Article
- DOI
10.1142/S0129055X21500033