Magnetic steps on the threshold of the normal state

W. Assaad
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引用次数: 4

Abstract

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.
磁台阶上的阈值为正常状态
阶跃磁场下的超导性是近年来许多研究的焦点。这一贡献研究了二维超导畴的行为,当超导性在整个畴中失去时,除了在不连续边缘和边界的交叉点附近。这个问题涉及到它自身的有效能量。我们在交点的邻域中提供极小值的局部估计。因此,我们引入了新的临界场,标志着在这些点附近超导性的损失。本研究采用金兹堡—朗道理论建模,并考虑了较大的金兹堡—朗道参数。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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