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The ground state energy of the three dimensional Ginzburg-Landau model in the mixed phase
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
, we estimate the ground state energy to leading order
as the Ginzburg-Landau parameter tends to infinity.Comment: 13 page
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