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arXiv · 1609.08877

The density of superconductivity in the bulk regime

Bernard Helffer·Ayman Kachmar
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Abstract

In the asymptotic limit of a large Ginzburg-Landau parameter, we give a new asymptotic formula for the $L^2$-norm of the Ginzburg-Landau order parameter. The formula is valid in the bulk regime where the intensity of the applied magnetic field is of the same order as the Ginzburg-Landau parameter and strictly below the second critical field. Our formula complements the celebrated one of Sandier-Serfaty for the $L^4$-norm.

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Bernard Helffer, Ayman Kachmar. 2016-09-28. The density of superconductivity in the bulk regime. https://arxiv.org/abs/1609.08877

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