Ground state energy scaling laws during the onset and destruction of the intermediate state in a type I superconductor
Ground state energy scaling laws during the onset and destruction of the intermediate state in a type I superconductor
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I 型超导体中间态开始和破坏期间的基态能量标度定律
DOI：
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发表时间：
2008
期刊：
影响因子：
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通讯作者：
F. Otto
中科院分区：
文献类型：
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作者：
Rustum Choksi;S. Conti;R. Kohn;F. Otto
第一类超导体的中间态是能量驱动的图案形成的经典例子，最先由Landau在1937年研究。我们中的三个人最近得到了基态能量的五个不同的严格上界，对应于不同的微结构模式，但其中只有一个得到了具有相同标度的下界的补充[Choksi，Kohn，和Otto，J.非线性科学。14(2004)，119-171]。本文通过为剩余的四个区域提供匹配的下界来完成这一图景，从而证明了这五个不同的区域是随着磁场的增加而被穿越的。©2007威利期刊公司。
The intermediate state of a type I superconductor is a classical example of energy‐driven pattern formation, first studied by Landau in 1937. Three of us recently derived five different rigorous upper bounds for the ground‐state energy, corresponding to different microstructural patterns, but only one of them was complemented by a lower bound with the same scaling [Choksi, Kohn, and Otto, J. Nonlinear Sci. 14 (2004), 119–171]. This paper completes the picture by providing matching lower bounds for the remaining four regimes, thereby proving that exactly those five different regimes are traversed with an increasing magnetic field. © 2007 Wiley Periodicals, Inc.