Statistical Mechanics of the Uniform Electron Gas
Mathematical Physics
2018-01-11 v2 Statistical Mechanics
math.MP
Chemical Physics
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
Cite
@article{arxiv.1705.10676,
title = {Statistical Mechanics of the Uniform Electron Gas},
author = {Mathieu Lewin and Elliott H. Lieb and Robert Seiringer},
journal= {arXiv preprint arXiv:1705.10676},
year = {2018}
}
Comments
Final version to appear in J. Ec. polytech. Math