The density of superconductivity in the bulk regime
Analysis of PDEs
2018-11-13 v2 Mathematical Physics
math.MP
Abstract
In the asymptotic limit of a large Ginzburg-Landau parameter, we give a new asymptotic formula for the -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 -norm.
Cite
@article{arxiv.1609.08877,
title = {The density of superconductivity in the bulk regime},
author = {Bernard Helffer and Ayman Kachmar},
journal= {arXiv preprint arXiv:1609.08877},
year = {2018}
}
Comments
Typos corrected; to appear in Indiana Univ. Math. J