2009/06/30 by Stan Alama, Alama, Stan, Lia Bronsard +3
Physics and Astronomy · #35J50 #49J40 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Magnetic properties of thin films #Mathematical Physics (math-ph) #Physics of Superconductivity and Magnetism #Theoretical and Computational Physics
paper · pdf · doi:10.48550/arxiv.0906.5403
openalex publication_date 2009/06/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this work, we study thin-film limits of the full three-dimensional Ginzburg-Landau model for a superconductor in an applied magnetic field oriented obliquely to the film surface. We obtain Gamma-convergence results in several regimes, determined by the asymptotic ratio between the magnitude of the parallel applied magnetic field and the thickness of the film. Depending on the regime, we show that there may be a decrease in the density of Cooper pairs. We also show that in the case of variable thickness of the film, its geometry will affect the effective applied magnetic field, thus influencing the position of vortices.