The Decrease of Bulk-Superconductivity Close to the Second Critical Field in the Ginzburg--Landau Model

DOI10.1137/S0036141002406084zbMath1030.82015OpenAlexW2036304670MaRDI QIDQ4429848

Publication date: 30 September 2003

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036141002406084

zbMATH Keywords

phase transitions asymptotic analysis superconductivity second critical field

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Singular perturbations in context of PDEs (35B25) Nonlinear elliptic equations (35J60) Statistical mechanics of superconductors (82D55) Partial differential equations of mathematical physics and other areas of application (35Q99) Variational methods for second-order elliptic equations (35J20) Applications of variational problems in infinite-dimensional spaces to the sciences (58E50)

Related Items (27)

Abrikosov lattices in finite domains ⋮ Surface superconductivity in 3 dimensions ⋮ Energy and vorticity of the Ginzburg–Landau model with variable magnetic field ⋮ The loss of stability of surface superconductivity ⋮ The density of superconductivity in domains with corners ⋮ Decay of superconductivity away from the magnetic zero set ⋮ Nucleation of bulk superconductivity close to critical magnetic field ⋮ From the Ginzburg-Landau model to vortex lattice problems ⋮ Non-homogeneous magnetic permeability and magnetic steps within the Ginzburg-Landau model ⋮ The ground state energy of the three-dimensional Ginzburg-Landau model in the mixed phase ⋮ Magnetic steps on the threshold of the normal state ⋮ The distribution of superconductivity near a magnetic barrier ⋮ The breakdown of superconductivity in the presence of magnetic steps ⋮ The Ginzburg-Landau functional with vanishing magnetic field ⋮ From constant to non-degenerately vanishing magnetic fields in superconductivity ⋮ Mixed normal-superconducting states in the presence of strong electric currents ⋮ The Ground State Energy of the Three Dimensional Ginzburg-Landau Functional Part I: Bulk Regime ⋮ Bulk superconductivity in type II superconductors near the second critical field ⋮ The influence of magnetic steps on bulk superconductivity ⋮ Boundary behavior of the Ginzburg-Landau order parameter in the surface superconductivity regime ⋮ Branched Microstructures in the Ginzburg--Landau Model of Type-I Superconductors ⋮ Breakdown of superconductivity in a magnetic field with self-intersecting zero set ⋮ The density of superconductivity in the bulk regime ⋮ Energy asymptotics for type II superconductors ⋮ Thomas-Fermi profile of a fast rotating Bose-Einstein condensate ⋮ The ground state energy of the two dimensional Ginzburg-Landau functional with variable magnetic field ⋮ Averaging of magnetic fields and applications

This page was built for publication: The Decrease of Bulk-Superconductivity Close to the Second Critical Field in the Ginzburg--Landau Model