The decrease of bulk-superconductivity close to the second critical field in the ginzburg-landau model

Etienne Sandier, Sylvia Serfaty

Research output: Contribution to journalArticle

Abstract

We study solutions of the Ginzburg-Landau equations describing superconductors in a magnetic field, just below the "second critical field" Hc2. We thus bridge the gap between the situations described in [E. Sandier and S. Serfaty, Rev. Math. Phys., 12 (2000), pp. 1219-1257] and [X. B. Pan, Comm. Math. Phys., 228 (2002), pp. 327-370]. We prove estimates on the energy, among them one by an algebraic trick inspired by the Bogomoln'yi trick for self-duality. We thus show how, for energy-minimizers, superconductivity decreases in average in the bulk of the sample when the applied field increases to Hc2.

Original languageEnglish (US)
Pages (from-to)939-956
Number of pages18
JournalSIAM Journal on Mathematical Analysis
Volume34
Issue number4
DOIs
StatePublished - 2003

Fingerprint

Ginzburg-Landau Model
Superconductivity
Superconducting materials
Magnetic fields
Self-duality
Decrease
Ginzburg-Landau Equation
Superconductor
Energy
Minimizer
Magnetic Field
Estimate

Keywords

  • Asymptotic analysis
  • Phase transitions
  • Second critical field
  • Superconductivity

ASJC Scopus subject areas

  • Analysis
  • Computational Mathematics
  • Applied Mathematics

Cite this

The decrease of bulk-superconductivity close to the second critical field in the ginzburg-landau model. / Sandier, Etienne; Serfaty, Sylvia.

In: SIAM Journal on Mathematical Analysis, Vol. 34, No. 4, 2003, p. 939-956.

Research output: Contribution to journalArticle

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