Magnetic vortices for a Ginzburg-Landau type energy with discontinuous constraint. II

2008/07/08 by Hassen Aydi, Aydi, Hassen, Ayman Kachmar +1
Computer Science · Materials Science · Mathematics · Physics and Astronomy · #35B40 (Secondary) #35J25 #35J60 (Primary) 35J20 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Magnetism in coordination complexes #Mathematical Physics (math-ph) #Nonlinear Dynamics and Pattern Formation #Quantum chaos and dynamical systems #math-ph #math.AP #math.MP #msc:35B40 #msc:35J20 #msc:35J25 #msc:35J60

paper · pdf · doi:10.48550/arxiv.0807.1177

20 pages

arxiv created 2008/07/08 · openalex publication_date 2008/07/08 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study vortex nucleation for minimizers of a Ginzburg-Landau energy with discontinuous constraint. For applied magnetic fields comparable with the first critical field of vortex nucleation, we determine the limiting vorticities.

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