%0 Journal Article
%T Convergence of Ginzburg-Landau functionals in 3-d superconductivity
%A Sisto Baldo
%A Robert L. Jerrard
%A Giandomenico Orlandi
%A Mete Soner
%J Mathematics
%D 2011
%I arXiv
%R 10.1007/s00205-012-0527-2
%X In this paper we consider the asymptotic behavior of the Ginzburg- Landau model for superconductivity in 3-d, in various energy regimes. We rigorously derive, through an analysis via {\Gamma}-convergence, a reduced model for the vortex density, and we deduce a curvature equation for the vortex lines. In a companion paper, 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.
%U http://arxiv.org/abs/1102.4650v1