{
  "id": "1109.6664",
  "version": "v2",
  "published": "2011-09-29T20:12:20.000Z",
  "updated": "2012-04-26T14:15:57.000Z",
  "title": "Conditional pair distributions in many-body systems: Exact results for Poisson ensembles",
  "authors": [
    "René D. Rohrmann",
    "Ernesto Zurbriggen"
  ],
  "comment": "12 pages, 11 figures, v2: new section, appendix and references, plus some other minor changes; to be published in Phys. Rev. E",
  "doi": "10.1103/PhysRevE.85.051109",
  "categories": [
    "cond-mat.stat-mech",
    "astro-ph.CO",
    "cond-mat.soft"
  ],
  "abstract": "We introduce a conditional pair distribution function (CPDF) which characterizes the probability density of finding an object (e.g., a particle in a fluid) to certain distance of other, with each of these two having a nearest neighbor to a fixed but otherwise arbitrary distance. This function describes special four-body configurations, but also contains contributions due to the so-called mutual nearest neighbor (two-body) and shared neighbor (three-body) configurations. The CPDF is introduced to improve a Helmholtz free energy method based on space partitions. We derive exact expressions of the CPDF and various associated quantities for randomly distributed, non-interacting points at Euclidean spaces of one, two and three dimensions. Results may be of interest in many diverse scientific fields, from fluid physics to social and biological sciences.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-04-26T14:15:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "02.50.-r",
      "05.20.Jj",
      "51.30.+i"
    ],
    "keywords": [
      "many-body systems",
      "exact results",
      "poisson ensembles",
      "conditional pair distribution function",
      "helmholtz free energy method"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review E",
      "year": 2012,
      "month": "May",
      "volume": 85,
      "number": 5,
      "pages": "051109"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 930274,
      "adsabs": "2012PhRvE..85e1109R"
    }
  }
}