Pinning effects and their breakdown for a Ginzburg–Landau model with normal inclusions

DOI10.1063/1.2010354zbMath1111.58013OpenAlexW2022057512WikidataQ60143353 ScholiaQ60143353MaRDI QIDQ3438588

Lia Bronsard, Stanley Alama

Publication date: 16 May 2007

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

Full work available at URL: https://doi.org/10.1063/1.2010354

Mathematics Subject Classification ID

Statistical mechanics of superconductors (82D55) Applications of variational problems in infinite-dimensional spaces to the sciences (58E50)

Related Items (12)

Pinning with a variable magnetic field of the two dimensional Ginzburg-Landau model ⋮ Vortex-filaments for inhomogeneous superconductors in three dimensions ⋮ On approximation of Ginzburg-Landau minimizers by \(\mathbb{S}^1\)-valued maps in domains with vanishingly small holes ⋮ \(\Gamma\)-convergence of 2D Ginzburg-Landau functionals with vortex concentration along curves ⋮ Vortex density models for superconductivity and superfluidity ⋮ Magnetic flux lines in complex geometry type-II superconductors studied by the time dependent Ginzburg-Landau equation ⋮ Limiting vorticities for superconducting thin films ⋮ Magnetic vortices for a Ginzburg-Landau type energy with discontinuous constraint ⋮ Vortex rings in fast rotating Bose-Einstein condensates ⋮ Infinitely many multi-vortex solutions of the magnetic Ginzburg–Landau equation with external potentials in R2 ⋮ Remarks on an equation of the Ginzburg-Landau type ⋮ The ground state of a Gross-Pitaevskii energy with general potential in the Thomas-Fermi limit

Cites Work

• Unnamed Item
• Unnamed Item
• Ginzburg-Landau type energy with discontinuous constraint
• Lower bounds for the energy of unit vector fields and applications
• Asymptotic behavior of minimizers for the Ginzburg-Landau functional with weight. I
• Vortex pinning with bounded fields for the Ginzburg-Landau equation.
• Ginzburg-Landau minimizers near the first critical field have bounded vorticity
• Pinning phenomena in the Ginzburg-Landau model of superconductivity
• Homotopy classification of minimizers of the Ginzburg-Landau energy and the existence of permanent currents
• Stable configurations in superconductivity: Uniqueness, multiplicity, and vortex-nucleation
• Global minimizers for the Ginzburg-Landau functional below the first critical magnetic field
• On a model of rotating superfluids
• A Hierarchy of Models for Type-II Superconductors
• A rigorous derivation of a free-boundary problem arising in superconductivity
• Remarks on sublinear elliptic equations
• Ginzburg–Landau Equations and Stable Solutions in a Rotational Domain
• LOCAL MINIMIZERS FOR THE GINZBURG–LANDAU ENERGY NEAR CRITICAL MAGNETIC FIELD: PART I

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