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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 $H_{C_1}\ll H\ll H_{C_2}$, we estimate the ground state energy to leading order as the Ginzburg-Landau parameter tends to infinity.

preprint2010arXivOpen access
Ayman Kachmar
math.APmath-phmath.MP
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Ayman Kachmar

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