{
  "id": "1705.10676",
  "version": "v1",
  "published": "2017-05-30T14:39:55.000Z",
  "updated": "2017-05-30T14:39:55.000Z",
  "title": "Statistical Mechanics of the Uniform Electron Gas",
  "authors": [
    "Mathieu Lewin",
    "Elliott H. Lieb",
    "Robert Seiringer"
  ],
  "categories": [
    "math-ph",
    "cond-mat.stat-mech",
    "math.MP",
    "physics.chem-ph"
  ],
  "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-05-30T14:39:55.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "statistical mechanics",
      "indirect coulomb energy",
      "classical uniform electron gas",
      "density functional theory",
      "quantum ueg"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}