Emergence of the Abrikosov lattice in several models with two dimensional Coulomb interaction

DOI10.4171/120-1/7zbMATH Open1364.35366OpenAlexW2500339863MaRDI QIDQ2989884

S. Serfaty

Publication date: 8 June 2017

Published in: European Congress of Mathematics Kraków, 2 – 7 July, 2012 (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/120-1/7

zbMATH Keywords

random matricesvorticessuperconductivityGinzburg-LandauCoulomb gasAbrikosov latticerenormalized energylog gasesOhta-Kawasaki

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Statistical mechanics of superconductors (82D55) Statistical mechanics of semiconductors (82D37) Packing and covering in (2) dimensions (aspects of discrete geometry) (52C15) Variational methods for second-order elliptic equations (35J20) Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15) PDEs in connection with statistical mechanics (35Q82)

Related Items (1)

A tendency to a formation of two-dimensional self-consistent structures in Coulomb systems

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