The ground state energy of the three dimensional Ginzburg-Landau model in the mixed phase

Details The ground state energy of the three dimensional Ginzburg-Landau model in the mixed phase The ground state energy of the three dimensional Ginzburg-Landau model in the mixed phase

2010-10-10

arxiv.org/abs/1010.1896v1

Mathematics

Analysis of PDEs

13 pages

Scientific paper

We consider the Ginzburg-Landau functional defined over a bounded and smooth
three dimensional domain. Supposing that the strength of the applied magnetic
field varies between the first and second critical fields, in such a way that
$H_{C_1}\ll H\ll H_{C_2}$, we estimate the ground state energy to leading order
as the Ginzburg-Landau parameter tends to infinity.

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