含有“杂质”超导材料的钉扎现象

PINNING PHENOMENA OF THE SUPERCONDUCTORS WITH NORMAL INCLUSION

考虑一个与含有“杂质”超导的 Ginzburg-Landau模型有关的变分问题 .研究了当参数 ε→ 0 +时极小元的渐近行为 ,并确定了涡旋 (即解的零点 )的位置 ,发现涡旋位于杂质区域内 .

This paper studies the asymptotic behavior of the minimizers for the Ginzburg\|Landau model of superconductors with normal inclusion as parameter ε →0+. It also locates the positions of vortices ( i.e. zeros of minimizer solution) and estimates the error between the density of superconductorelectron pairs and 1.