04-216 S. Fournais and B. Helffer

Energy asymptotics for Type II superconductors. (431K, pdf) Jul 16, 04

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Abstract. We study the Ginzburg-Landau functional in the parameter regime describing `Type II superconductors'. In the exact regime considered minimizers are localized to the boundary - i.e. the sample is only superconducting in the boundary region. Depending on the relative size of different parameters we describe the concentration behaviour and give leading order energy asymptotics. This generalizes previous results by Lu and Pan, Helffer and Pan, and Pan.

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