{
  "id": "cond-mat/0008124",
  "version": "v1",
  "published": "2000-08-08T13:59:14.000Z",
  "updated": "2000-08-08T13:59:14.000Z",
  "title": "Density fluctuations and the structure of a nonuniform hard sphere fluid",
  "authors": [
    "Kirill Katsov",
    "John D. Weeks"
  ],
  "doi": "10.1103/PhysRevLett.86.440",
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.soft"
  ],
  "abstract": "We derive an exact equation for density changes induced by a general external field that corrects the hydrostatic approximation where the local value of the field is adsorbed into a modified chemical potential. Using linear response theory to relate density changes self-consistently in different regions of space, we arrive at an integral equation for a hard sphere fluid that is exact in the limit of a slowly varying field or at low density and reduces to the accurate Percus-Yevick equation for a hard core field. This and related equations give accurate results for a wide variety of fields.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2000-08-08T13:59:14.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "nonuniform hard sphere fluid",
      "density fluctuations",
      "general external field",
      "linear response theory",
      "relate density changes"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. Lett."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}