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arXiv · 1705.10676

Statistical Mechanics of the Uniform Electron Gas

Mathieu Lewin·Elliott H. Lieb·Robert Seiringer
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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.

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Mathieu Lewin, Elliott H. Lieb, Robert Seiringer. 2017-11-16. Statistical Mechanics of the Uniform Electron Gas. https://doi.org/10.5802/jep.64

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