Energy asymptotics for Type II superconductors |
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Authors: | S Fournais B Helffer |
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Institution: | (1) CNRS and Laboratoire de Mathématiques, UMR CNRS 8628, Université Paris-Sud, Bat 425, F-91405 Orsay Cedex, France;(2) Laboratoire de Mathématiques, UMR CNRS 8628, Université Paris-Sud, Bat 425, F-91405 Orsay Cedex, France |
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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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Keywords: | |
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