2000/07/14 by Hans G. Kaper, Kaper, H. G., Henrik Nordborg +1
Physics and Astronomy · #35K55 #65M12 #82D55 #FOS: Mathematics #Numerical Analysis (math.NA) #Physics of Superconductivity and Magnetism #Quantum, superfluid, helium dynamics #Theoretical and Computational Physics
paper · pdf · doi:10.48550/arxiv.math/0007092
openalex publication_date 2000/07/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The Ginzburg--Landau (GL) equations of superconductivity provide a computational model for the study of magnetic flux vortices in type-II superconductors. In this article we show through numerical examples and rigorous mathematical analysis that the GL model reduces to the frozen-field model when the charge of the Cooper pairs (the superconducting charge carriers) goes to zero while the applied field stays near the upper critical field.