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Energy asymptotics for Type II superconductors

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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 behavior and give leading order energy asymptotics. This generalizes previous results by Lu–Pan, Helffer–Pan, and Pan.

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Authors and Affiliations

  1. CNRS and Laboratoire de Mathématiques, UMR CNRS 8628, Université Paris-Sud, Bât 425, F-91405, Orsay Cedex, France

    S. Fournais

  2. Laboratoire de Mathématiques, UMR CNRS 8628, Université Paris-Sud, Bât 425, F-91405, Orsay Cedex, France

    B. Helffer

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  1. S. Fournais
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  2. B. Helffer
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Correspondence to B. Helffer.

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Fournais, S., Helffer, B. Energy asymptotics for Type II superconductors. Calc. Var. 24, 341–376 (2005). https://doi.org/10.1007/s00526-005-0333-x

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  • DOI: https://doi.org/10.1007/s00526-005-0333-x

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