Large systems with Coulomb interactions: variational study and statistical mechanics

DOI10.4171/PM/1987zbMath1361.82009OpenAlexW2557672836MaRDI QIDQ502142

Sylvia Serfaty

Publication date: 30 December 2016

Published in: Portugaliae Mathematica. Nova Série (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/pm/1987

zbMATH Keywords

random matricesCoulomb systemslarge deviations principleFekete pointsAbrikosov latticesCoulomb gaseslog gases

Mathematics Subject Classification ID

Large deviations (60F10) Classical equilibrium statistical mechanics (general) (82B05) Phase transitions (general) in equilibrium statistical mechanics (82B26) Random matrices (algebraic aspects) (15B52) Continuum models (systems of particles, etc.) arising in equilibrium statistical mechanics (82B21)

Related Items (3)

A review of exact results for fluctuation formulas in random matrix theory ⋮ Discrete minimisers are close to continuum minimisers for the interaction energy ⋮ Geometric ergodicity of Langevin dynamics with Coulomb interactions

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