The distribution of superconductivity near a magnetic barrier
Wafaa Assaad, Ayman Kachmar, Mikael Persson-Sundqvist
TL;DR
This paper investigates how superconductivity concentrates near a magnetic barrier with a discontinuous magnetic field in a 2D domain, using the Ginzburg-Landau model under strong magnetic conditions.
Contribution
It analyzes the concentration behavior of superconducting states near magnetic discontinuities in the Ginzburg-Landau framework for large parameters.
Findings
Superconductivity concentrates along the magnetic barrier.
The concentration pattern depends on the strength of the magnetic field.
The study provides asymptotic descriptions of the minimizers.
Abstract
We consider the Ginzburg-Landau functional, defined on a two-dimensional simply connected domain with smooth boundary, in the situation when the applied magnetic field is piecewise constant with a jump discontinuity along a smooth curve. In the regime of large Ginzburg-Landau parameter and strong magnetic field, we study the concentration of minimizing configurations along this discontinuity.
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