STATISTICAL MECHANICS OF THE UNIFORM ELECTRON GAS

被引：23

作者：

Lewin, Mathieu ^{[1
,2
]}

Lieb, Elliott H. ^{[3
,4
]}

Seiringer, Robert ^{[5
]}

机构：

[1] Univ Paris 09, PSL Res Univ, CNRS, F-75016 Paris, France

[2] Univ Paris 09, PSL Res Univ, CEREMADE, F-75016 Paris, France

[3] Princeton Univ, Dept Math, Jadwin Hall,Washington Rd, Princeton, NJ 08544 USA

[4] Princeton Univ, Dept Phys, Jadwin Hall,Washington Rd, Princeton, NJ 08544 USA

[5] IST Austria Inst Sci & Technol Austria, Campus 1, A-3400 Klosterneuburg, Austria

来源：

JOURNAL DE L ECOLE POLYTECHNIQUE-MATHEMATIQUES | 2018年 / 5卷

基金：

美国国家科学基金会; 欧洲研究理事会; 奥地利科学基金会;

关键词：

Uniform electron gas; Density Functional Theory; thermodynamic limit; statistical mechanics; mean-field limit; optimal transport;

D O I：

10.5802/jep.64

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：79 / 116

页数：38

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