We study the Ginzburg-Landau energy of superconductors with high κ, put in a prescribed external field hex, for hex varying between the two critical fields Hc1 and Hc3. As κ → + ∞, we give the leading term in the asymptotic expansion of the minimal energy and show that energy minimizers have vortices whose density tends to be uniform and equal to hex.
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics