Convergence of Ginzburg-Landau Functionals in Three-Dimensional Superconductivity

被引：19
|
作者：
Baldo, S. [1 ]
Jerrard, R. L. [2 ]
Orlandi, G. [1 ]
Soner, H. M. [3 ]
机构：
[1] Univ Verona, Dept Math, I-37100 Verona, Italy
[2] Univ Toronto, Dept Math, Toronto, ON M5S 1A1, Canada
[3] ETH, Dept Math, CH-8092 Zurich, Switzerland
来源：
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS | 2012年 / 205卷 / 03期
关键词：
HODGE THEORY; BOUNDS; MINIMIZERS; ENERGY;
D O I：
10.1007/s00205-012-0527-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we consider the asymptotic behavior of the Ginzburg-Landau model for superconductivity in three dimensions, in various energy regimes. Through an analysis via I"-convergence, we rigorously derive a reduced model for the vortex density and deduce a curvature equation for the vortex lines. In the companion paper (Baldo et al. Commun. Math. Phys. 2012, to appear) we describe further applications to superconductivity and superfluidity, such as general expressions for the first critical magnetic field H (c1), and the critical angular velocity of rotating Bose-Einstein condensates.
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页码：699 / 752
页数：54
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