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.
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页码：79 / 116
页数：38
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