Limiting Models for Josephson Junctions and Superconducting Weak Links |
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| Authors: | Qiang Du Joan Remski |
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| Institution: | a Department of Mathematics, Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong, f1madu@uxmail.ust.hkf1b Department of Mathematics and Statistics, University of Michigan-Dearborn, 4901 Evergreen Road, Dearborn, Michigan, 48128, f2remski@umd.umich.eduf2 |
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| Abstract: | One of the broadest applications of superconductivity is the technology based on Josephson junction devices. These junction devices are formed by placing a thin layer of normal (nonsuperconducting) material between layers of superconducting material. We consider various limiting cases for models of the junction device based on the Ginzburg-Landau equations. Examples include a model for large values of the Ginzburg-Landau parameter, κ, in the high-field regime and a model for a thin normal layer. Convergence analysis for the simplified models is established and numerical simulations are presented. |
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