Statistical mechanics of the uniform electron gas

DOI10.5802/jep.64zbMath1404.82003arXiv1705.10676OpenAlexW2620342258MaRDI QIDQ4559757

Mathieu Lewin, Elliott H. Lieb, Robert Seiringer

Publication date: 4 December 2018

Published in: Journal de l’École polytechnique — Mathématiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.10676

zbMATH Keywords

thermodynamic limitdensity functional theorystatistical mechanicsmean-field limitoptimal transportuniform electron gas

Mathematics Subject Classification ID

Many-body theory; quantum Hall effect (81V70) Transport processes in time-dependent statistical mechanics (82C70) Foundations of equilibrium statistical mechanics (82B03) Statistical mechanics of gases (82D05) Optimality conditions for problems involving relations other than differential equations (49K21)

Related Items (15)

Coulomb and Riesz gases: The known and the unknown ⋮ At the edge of a one-dimensional jellium ⋮ Building Kohn-Sham potentials for ground and excited states ⋮ Constrained overdamped Langevin dynamics for symmetric multimarginal optimal transportation ⋮ Relaxed multi-marginal costs and quantization effects ⋮ Macroscopic and edge behavior of a planar jellium ⋮ The work of Elliott Lieb ⋮ Classical density functional theory: representability and universal bounds ⋮ Next-order asymptotic expansion for \(N\)-marginal optimal transport with Coulomb and Riesz costs ⋮ The validity of the local density approximation for smooth short range interaction potentials ⋮ The local density approximation in density functional theory ⋮ Floating Wigner crystal and periodic jellium configurations ⋮ Continuity of Multimarginal Optimal Transport with Repulsive Cost ⋮ Spin Symmetry Breaking in the Translation-Invariant Hartree--Fock Electron Gas ⋮ Improved Lieb-Oxford bound on the indirect and exchange energies

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