论文标题
正常状态阈值的磁步
Magnetic steps on the threshold of the normal state
论文作者
论文摘要
在阶跃磁场存在下，超导性最近已成为许多作品的重点。此贡献研究了二维超导域的行为，当时超导性在整个域中丢失，除了不连续性边缘和边界的交叉点附近。这个问题涉及其自身的有效能量。我们提供了交叉点附近最小化器的本地估计。因此，我们介绍了标志着这些点附近超导性丧失的新临界场。该研究由金兹堡 - 兰道理论和大型金茨堡 - Landau参数进行建模。
Superconductivity in the presence of a step magnetic field has been recently the focus of many works. This contribution examines the behavior of a two-dimensional superconducting domain, when superconductivity is lost in the whole domain except near the intersection points of the discontinuity edge and the boundary. The problem involves its own effective energy. We provide local estimates of the minimizers in neighbourhoods of the intersection points. Consequently, we introduce new critical fields marking the loss of superconductivity in the vicinity of these points. The study is modelled by the Ginzburg--Landau theory, and large Ginzburg--Landau parameters are considered.
