Stable configurations in superconductivity: Uniqueness, multiplicity, and vortex-nucleation

Sylvia Serfaty

Research output: Contribution to journalArticle

Abstract

We find new stable solutions of the Ginzburg-Landau equation for high κ superconductors with exterior magnetic field hex. First, we prove the uniqueness of the Meissner-type solution. Then, we prove, in the case of a disc domain, the coexistence of branches of solutions with n vortices of degree one, for any n not too high and for a certain range of hex; and describe these branches. Finally, we give an estimate on the nucleation energy barrier, to pass continuously from a vortexless configuration to a configuration with a centered vortex.

Original languageEnglish (US)
Pages (from-to)329-365
Number of pages37
JournalArchive for Rational Mechanics and Analysis
Volume149
Issue number4
StatePublished - Dec 18 1999

Fingerprint

Superconductivity
Nucleation
Vortex
Multiplicity
Vortex flow
Branch
Uniqueness
Configuration
Stable Solution
Ginzburg-Landau Equation
Energy barriers
Superconductor
Coexistence
Superconducting materials
Magnetic Field
Magnetic fields
Energy
Estimate
Range of data

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials
  • Mathematics(all)
  • Mathematics (miscellaneous)

Cite this

Stable configurations in superconductivity : Uniqueness, multiplicity, and vortex-nucleation. / Serfaty, Sylvia.

In: Archive for Rational Mechanics and Analysis, Vol. 149, No. 4, 18.12.1999, p. 329-365.

Research output: Contribution to journalArticle

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