ESTIMATES OF LOWER CRITICAL MAGNETIC FIELD AND VORTEX PINNING BY INHOMOGENEITIES IN TYPE II SUPERCONDUCTORS

Citation:

K. I. KIM,LIU Zuhan.ESTIMATES OF LOWER CRITICAL MAGNETIC FIELD AND VORTEX PINNING BY INHOMOGENEITIES IN TYPE II SUPERCONDUCTORS[J].Chinese Annals of Mathematics B,2004,25(4):493~506
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Authors:

K. I. KIM; LIU Zuhan

Foundation:

Project supported by the National Natural Science Foundation of China (No.10071067), the Excellent Young Teachers Program of the Ministry of Education of China, the Jiangsu Provincial National Science Foundation of China and the Combinatorial and Computational Mathematics Center founded by KOSEF.
Abstract: The effect of an applied magnetic field on an inhomogeneous superconductor is studied and the value of the lower critical magnetic field $H_{c_1}$ at which superconducting vortices appear is estimated. In addition, the authors locate the vortices of local minimizers, which depends on the inhomogeneous term $a(x)$.

Keywords:

Superconductor, Vortices, Pinning mechanism, Critical magnetic field

Classification:

35J55, 35Q40
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