From constant to non-degenerately vanishing magnetic fields in superconductivity

TL;DR

This paper investigates how superconductivity distribution models change when a type II superconductor is subjected to either a constant or a non-degenerately vanishing magnetic field, analyzing the relationship between two key functions.

Contribution

It introduces a detailed comparison between superconductivity distributions under constant and non-degenerately vanishing magnetic fields in type II superconductors.

Findings

Characterization of the distribution functions in different magnetic field regimes

Identification of the relationship between the two reference functions

Insights into the effects of magnetic field variation on superconductivity

Abstract

We explore the relationship between two reference functions arising in the analysis of the Ginzburg-Landau functional. The first function describes the distribution of superconductivity in a type II superconductor subjected to a constant magnetic field. The second function describes the distribution of superconductivity in a type II superconductor submitted to a variable magnetic field that vanishes non-degenerately along a smooth curve.