Homotopy classification of minimizers of the Ginzburg-Landau energy and the existence of permanent currents |
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| Authors: | Jacob Rubinstein Peter Sternberg |
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| Affiliation: | (1) Department of Mathematics, Technion, Israel Institute of Technology, 32000 Haifa, Israel;(2) Department of mathematics, Indiana University, 47405 bloomington, IN, USA |
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| Abstract: | Our objective is to explain the phenomenon of permanent currents within the context of the Ginzburg-Landau model for superconductors. Using variational techniques we make a connection between the formation of permanent currents and the topology of the superconducting sample.Research supported in part by the Fund for the Promotion of Research at the Technion.Research supported in part by a grant from the National Science Foundation. |
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