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arXiv · 1709.09855

The distribution of superconductivity near a magnetic barrier

Wafaa Assaad·Ayman Kachmar·Mikael Persson-Sundqvist
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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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Wafaa Assaad, Ayman Kachmar, Mikael Persson-Sundqvist. 2017-09-28. The distribution of superconductivity near a magnetic barrier. https://arxiv.org/abs/1709.09855

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