On Ginzburg-Landau Vortices of Superconducting Thin Films  

作　　者：Shi Jin DING Qiang DU 

机构地区：[1]Department of Mathematics, South China Normal University [2]Department of Mathematics, Penn State University

出　　处：《Acta Mathematica Sinica,English Series》2006年第2期469-476,共8页数学学报（英文版）

基　　金：partially supported by the Natural Science Foundation of China (Nos. 19971030, 10471050);the Natural Science Foundation of Guangdong Province (No. 000671, No. 031495);partially supported by a grant from HKRGC

摘　　要：In this paper, we discuss the vortex structure of the superconducting thin films placed in a magnetic field. We show that the global minimizer of the functional modelling the superconducting thin films has a bounded number of vortices when the applied magnetic field hex 〈 Hc1 ＋ K log ｜ logε｜ where Hc1 is the lower critical field of the film obtained by Ding and Du in SIAM J. Math. Anal., 2002. The locations of the vortices are also given.In this paper, we discuss the vortex structure of the superconducting thin films placed in a magnetic field. We show that the global minimizer of the functional modelling the superconducting thin films has a bounded number of vortices when the applied magnetic field hex 〈 Hc1 ＋ K log ｜ logε｜ where Hc1 is the lower critical field of the film obtained by Ding and Du in SIAM J. Math. Anal., 2002. The locations of the vortices are also given.

关 键 词：Superconducting thin films Global minimizer VORTICES Pinning mechanism 

分 类 号：TM26[一般工业技术—材料科学与工程]