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arXiv · 1312.3569

The ground state energy of the two dimensional Ginzburg-Landau functional with variable magnetic field

Kamel Attar
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Abstract

We consider the Ginzburg-Landau functional with a variable applied magnetic field in a bounded and smooth two dimensional domain. We determine an accurate asymptotic formula for the minimizing energy when the Ginzburg-Landau parameter and the magnetic field are large and of the same order. As a consequence, it is shown how bulk superconductivity decreases in average as the applied magnetic field increases.

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Kamel Attar. 2013-12-12. The ground state energy of the two dimensional Ginzburg-Landau functional with variable magnetic field. https://arxiv.org/abs/1312.3569

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