Minimizers of the Lawrence-Doniach energy in the small-coupling limit: finite width samples in a parallel field
| dc.creator | Alama, S. | |
| dc.creator | Berlinsky, A. J. | |
| dc.creator | Bronsard, L. | |
| dc.date | 2000-10-11 | |
| dc.date.accessioned | 2026-07-07T04:37:58Z | |
| dc.date.available | 2026-07-07T04:37:58Z | |
| dc.description | In this paper we study the Lawrence-Doniach model for layered superconductors, for a sample with finite width subjected to a magnetic field parallel to the superconducting layers. We provide a rigorous analysis of the energy minimizers in the limit as the coupling between adjacent superconducting layers tends to zero. We identify a unique global minimizer of the Gibbs free energy in this regime ("vortex planes"), and reveal a sequence of first-order phase transitions by which Josephson vortices are nucleated via the boundary. The small coupling limit is studied via degenerate perturbation theory based on a Lyapunov-Schmidt decomposition which reduces the Lawrence-Doniach system to a finite-dimensional variational problem. Finally, a lower bound on the radius of validity of the perturbation expansion (in terms of various parameters appearing in the model) is obtained. | |
| dc.identifier | https://arxiv.org/abs/math/0010110 | |
| dc.identifier | http://arxiv.org/abs/math/0010110 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/60101 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | Mathematical Physics | |
| dc.subject | 35Q99; 35J50 | |
| dc.title | Minimizers of the Lawrence-Doniach energy in the small-coupling limit: finite width samples in a parallel field | |
| dc.type | text |