Convergence of Ginzburg-Landau functionals in 3-d superconductivity

Details Convergence of Ginzburg-Landau functionals in 3-d superconductivity Convergence of Ginzburg-Landau functionals in 3-d superconductivity

2011-02-23

arxiv.org/abs/1102.4650v1

Physics

Mathematical Physics

45 pages

Scientific paper

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.

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