A quantization property for static Ginzburg-Landau vortices

Fang-Hua Lin, Tristan Rivière

Research output: Contribution to journalArticle

Abstract

For any critical point of the complex Ginzburg-Landau functional in dimension 3, we prove that, for large coupling constants, κ = 1/ε; if the energy of this critical point on a ball of a given radius r is relatively small compared to r log r/ε, then the ball of half-radius contains no vortex (the modulus of the solution is larger than 1/2). We then show how this property can be applied to describe limiting vortices as ε → 0.

Original languageEnglish (US)
Pages (from-to)206-228
Number of pages23
JournalCommunications on Pure and Applied Mathematics
Volume54
Issue number2
DOIs
StatePublished - Feb 2001

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Ginzburg-Landau
Vortex
Critical point
Quantization
Ball
Vortex flow
Radius
Ginzburg-Landau Functional
Modulus
Limiting
Energy

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

A quantization property for static Ginzburg-Landau vortices. / Lin, Fang-Hua; Rivière, Tristan.

In: Communications on Pure and Applied Mathematics, Vol. 54, No. 2, 02.2001, p. 206-228.

Research output: Contribution to journalArticle

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