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.
|Original language||English (US)|
|Number of pages||39|
|Journal||Reviews in Mathematical Physics|
|State||Published - Sep 2000|
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics