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On the variations of the vortex number in a periodic Ginzburg-Landau model

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Publication:2795523
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DOI10.1063/1.4942632zbMath1338.82078OpenAlexW2274293143MaRDI QIDQ2795523

Peng Zhang

Publication date: 21 March 2016

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.4942632


zbMATH Keywords

vortexsuperconductorGinzburg-Landau modelLandau limit


Mathematics Subject Classification ID

Statistical mechanics of superconductors (82D55) Ginzburg-Landau equations (35Q56)




Cites Work

  • Vortices in the magnetic Ginzburg-Landau model
  • Lower bounds for the energy of unit vector fields and applications
  • On the Riesz energy of measures.
  • Vortex analysis of the periodic Ginzburg-Landau model
  • Modeling and Analysis of a Periodic Ginzburg–Landau Model for Type-II Superconductors
  • On the Energy of Superconductors in Large and Small Domains
  • A property of sobolev spaces
  • Lower Bounds for Generalized Ginzburg--Landau Functionals
  • On the Bifurcation and Stability of Periodic Solutions of the Ginzburg--Landau Equations in the Plane
  • LOCAL MINIMIZERS FOR THE GINZBURG–LANDAU ENERGY NEAR CRITICAL MAGNETIC FIELD: PART II
  • LOCAL MINIMIZERS FOR THE GINZBURG–LANDAU ENERGY NEAR CRITICAL MAGNETIC FIELD: PART I
  • Theory of Superconductivity
  • Ginzburg-Landau vortices
  • Unnamed Item
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