On the energy of type-II superconductors in the mixed phase

Etienne Sandier, Sylvia Serfaty

Research output: Contribution to journalArticle

Abstract

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 languageEnglish (US)
Pages (from-to)1219-1257
Number of pages39
JournalReviews in Mathematical Physics
Volume12
Issue number9
StatePublished - Sep 2000

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Superconductor
Minimal Energy
Ginzburg-Landau
Energy
Minimizer
External Field
Asymptotic Expansion
Vortex
Tend
energy
Term
vortices
expansion

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

On the energy of type-II superconductors in the mixed phase. / Sandier, Etienne; Serfaty, Sylvia.

In: Reviews in Mathematical Physics, Vol. 12, No. 9, 09.2000, p. 1219-1257.

Research output: Contribution to journalArticle

Sandier, E & Serfaty, S 2000, 'On the energy of type-II superconductors in the mixed phase', Reviews in Mathematical Physics, vol. 12, no. 9, pp. 1219-1257.
Sandier, Etienne ; Serfaty, Sylvia. / On the energy of type-II superconductors in the mixed phase. In: Reviews in Mathematical Physics. 2000 ; Vol. 12, No. 9. pp. 1219-1257.
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