The spinor Ginzburg-Landau model in dimension three

The spinor Ginzburg-Landau model in dimension three
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DOI:
10.1016/j.amc.2008.10.060
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发表时间:
2009-01
期刊:
Appl. Math. Comput.
影响因子:
--
通讯作者:
Zuhan Liu;Ling Zhou
Zuhan Liu;Ling Zhou
中科院分区:
其他
文献类型:
--
作者:
Zuhan Liu;Ling Zhou

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物理学文献中最近的论文引入了复杂向量值序参数的自旋耦合(或旋量)金兹堡-朗道模型,以解释高温超导体中的铁磁或反铁磁效应。本文研究了该模型在三维空间上解的渐近性态。证明了极限奇异集是由一条或多条线段组成的一维可整流集。
Recent papers in physics literature have introduced spin-coupled (or spinor) Ginzburg–Landau models for complex vector-valued order parameters in order to account for ferromagnetic or antiferromagnetic effects in high-temperature superconductors. In this paper, we study the asymptotic behavior of solutions to this model in dimension 3. It was also proven that limit singularities set is one-dimensional rectifiable, which consists of one or more line segments.