Ginzburg-Landau Vortex Lines and the Elastica Functional

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Abstract

We examine the asymptotic behavior of a family of second-order functionals arising in the theory of Ginzburg-Landau vortices. The results point towards Gamma-convergence with the elastica functional for generalized curves as the limit.
Original languageEnglish
Pages (from-to)71-107
Number of pages37
JournalCommunications in Contemporary Mathematics
Volume11
Issue number1
DOIs
Publication statusPublished - 2009

Keywords

  • Ginzburg-Landau vortices
  • elastica functional
  • curvature

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