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|Title:||Multiple states and hysteresis for type 1 superconductors||Contributor(s):||Du, Yihong (author); Pan, XB (author)||Publication Date:||2005||DOI:||10.1063/1.1938747||Handle Link:||https://hdl.handle.net/1959.11/2937||Abstract:||For type I superconductors with penetration parameter λ below a certain critical value, the existence of multiple local minimizers of the energy functional is shown. The behavior of these minimizers is examined when the Ginzburg–Landau parameter is small, and a hysteresis phenomenon is demonstrated. In contrast to the case investigated by X. B. Pan [J. Math. Phys. 44, 2639 (2003)] where λ is above the critical value, the results presented in this paper show that type I superconductors with λ below the critical value have higher critical magnetic field Hc, and exhibit more complicated superconducting behavior.||Publication Type:||Journal Article||Source of Publication:||Journal of Mathematical Physics, v.46 (7)||Publisher:||American Institute of Physics||Place of Publication:||United States||ISSN:||0022-2488||Field of Research (FOR):||019999 Mathematical Sciences not elsewhere classified||Peer Reviewed:||Yes||HERDC Category Description:||C1 Refereed Article in a Scholarly Journal||Statistics to Oct 2018:||Visitors: 155
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