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; Meanfield limit; Uniform electron gas

Journal Title:

Journal de l'Ecole Polytechnique  Mathematiques

Volume: 
5

ISSN:

24297100

Publisher:

Ecole Polytechnique

Date Published:

20180701

Start Page: 
79

End Page:

116

URL: 

DOI: 
10.5802/jep.64

Open access: 
yes (repository) 