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

2010/10/10 by Ayman Kachmar, Kachmar, Ayman · 1 citation
Mathematics · Physics and Astronomy · #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.AP #math.MP

paper · pdf · doi:10.48550/arxiv.1010.1896

13 pages

arxiv created 2010/10/10 · arxiv updated 2010/10/12

Abstract

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_C1≪ H≪ H_C2, we estimate the ground state energy to leading order as the Ginzburg-Landau parameter tends to infinity.

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