Energy estimate for the type-II superconducting film

Energy estimate for the type-II superconducting film
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DOI:
10.1007/s10114-007-1014-9
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发表时间:
2008-01
期刊:
Acta Mathematica Sinica, English Series
影响因子:
--
通讯作者:
K. Kim;Zuodong Liu
K. Kim;Zuodong Liu
中科院分区:
其他
文献类型:
--
作者:
K. Kim;Zuodong Liu

文献摘要

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我们研究了可变厚度超导高κ薄膜的Ginzburg-Landau模型的最小化器,将其置于外加磁场hex中,当hex为“第一临界场”量级时,即|lnε|量级。我们获得最小能量的渐近估计并描述涡旋的可能位置。
We study the minimizers of the Ginzburg-Landau model for variable thickness, superconducting, thin films with highκ, placed in an applied magnetic fieldhex, whenhexis of the order of the “first critical field”, i.e. of the order of |lnε|. We obtain the asymptotic estimates of minimal energy and describe the possible locations of the vortices.