Du, Yihong; Pan, XB

Author(s)

Du, Yihong

Pan, XB

Publication Date

2005

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.

Citation

Journal of Mathematical Physics, v.46 (7)

ISSN

1089-7658

0022-2488

Link

https://hdl.handle.net/1959.11/2937

Publisher

American Institute of Physics

Title

Multiple states and hysteresis for type 1 superconductors

Type of document

Journal Article

Entity Type

Publication

Author(s)	Du, Yihong Pan, XB
Publication Date	2005
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.
Citation	Journal of Mathematical Physics, v.46 (7)
ISSN	1089-7658 0022-2488
Link	https://hdl.handle.net/1959.11/2937
Publisher	American Institute of Physics
Title	Multiple states and hysteresis for type 1 superconductors
Type of document	Journal Article
Entity Type	Publication

Multiple states and hysteresis for type 1 superconductors

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