Statistical mechanics of the uniform electron gas Journal Article


Author(s): Lewi, Mathieu; Lieb, Élliott H; Seiringer, Robert
Article Title: Statistical mechanics of the uniform electron gas
Affiliation IST Austria
Abstract: In this paper we define and study the classical Uniform Electron Gas (UEG), a system of infinitely many electrons whose density is constant everywhere in space. The UEG is defined differently from Jellium, which has a positive constant background but no constraint on the density. We prove that the UEG arises in Density Functional Theory in the limit of a slowly varying density, minimizing the indirect Coulomb energy. We also construct the quantum UEG and compare it to the classical UEG at low density.
Keywords: statistical mechanics; Thermodynamic limit; Density functional theory; Optimal transport; Mean-field limit; Uniform electron gas
Journal Title: Journal de l'Ecole Polytechnique - Mathematiques
Volume: 5
ISSN: 24297100
Publisher: Ecole Polytechnique  
Date Published: 2018-07-01
Start Page: 79
End Page: 116
URL:
DOI: 10.5802/jep.64
Open access: yes (repository)
IST Austria Authors
  1. Robert Seiringer
    123 Seiringer