{
  "id": "cond-mat/9806253",
  "version": "v1",
  "published": "1998-06-21T23:22:25.000Z",
  "updated": "1998-06-21T23:22:25.000Z",
  "title": "Condensation of Hard Spheres Under Gravity",
  "authors": [
    "Daniel C. Hong"
  ],
  "comment": "9 pages, one figure",
  "doi": "10.1016/S0378-4371(99)00181-8",
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.mtrl-sci"
  ],
  "abstract": "Starting from Enskog equation of hard spheres of mass m and diameter D under the gravity g, we first derive the exact equation of motion for the equilibrium density profile at a temperature T and examine its solutions via the gradient expansion. The solutions exist only when \\beta\\mu \\le \\mu_o \\approx 21.756 in 2 dimensions and \\mu_o\\approx 15.299 in 3 dimensions, where \\mu is the dimensionless initial layer thickness and \\beta=mgD/T. When this inequality breaks down, a fraction of particles condense from the bottom up to the Fermi surface.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1998-06-21T23:22:25.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "hard spheres",
      "condensation",
      "dimensionless initial layer thickness",
      "particles condense",
      "inequality breaks"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}