Derivation of Lower Critical Magnetic Field for Anisotropic Ginzburg-Landau Model in Superconductivity  

作　　者：Yan Lei KOU Shi Jin DING 

机构地区：[1]Department of Mathematics, South China Normal University, Guangzhou 510631, P. R. China

出　　处：《Acta Mathematica Sinica,English Series》2011年第5期953-982,共30页数学学报（英文版）

基　　金：Supported by National Natural Science Foundation of China （Grant No. 10471050） and Guangdong Provincial Natural Science Foundation （Grant No. 7005795）, National 973 Project （Grant No. 2006CB805902） and University Special Research Foundation for PhD Program （Grant No. 20060574002）

摘　　要：In this paper, the authors discuss the vortex structure of an anisotropic Ginzburg-Landau model for superconducting thin film proposed by Du. We obtain the estimate for the lower critical magnetic field Hc1 which is the first critical value of hex corresponding to the first phase transition in which vortices appear in the superconductor. We also find local minimizers of the anisotropic superconducting thin film with a large parameter k, and for the applied magnetic field near the critical field we discuss the asymptotic behavior of the local minimizers.In this paper, the authors discuss the vortex structure of an anisotropic Ginzburg-Landau model for superconducting thin film proposed by Du. We obtain the estimate for the lower critical magnetic field Hc1 which is the first critical value of hex corresponding to the first phase transition in which vortices appear in the superconductor. We also find local minimizers of the anisotropic superconducting thin film with a large parameter k, and for the applied magnetic field near the critical field we discuss the asymptotic behavior of the local minimizers.

关 键 词：Critical magnetic field anisotropic Ginzburg-Landau model VORTICES 

分 类 号：O35[理学—流体力学] P631.443[理学—力学]