{
  "id": "math/0512464",
  "version": "v1",
  "published": "2005-12-20T13:02:47.000Z",
  "updated": "2005-12-20T13:02:47.000Z",
  "title": "N/V-limit for Stochastic Dynamics in Continuous Particle Systems",
  "authors": [
    "Martin Grothaus",
    "Yuri G. Kondratiev",
    "Michael Röckner"
  ],
  "comment": "35 pages; BiBoS-Preprint No. 04-12-172; publication in preparation",
  "categories": [
    "math.PR",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We provide an $N/V$-limit for the infinite particle, infinite volume stochastic dynamics associated with Gibbs states in continuous particle systems on $\\mathbb R^d$, $d \\ge 1$. Starting point is an $N$-particle stochastic dynamic with singular interaction and reflecting boundary condition in a subset $\\Lambda \\subset {\\mathbb R}^d$ with finite volume (Lebesgue measure) $V = |\\Lambda| < \\infty$. The aim is to approximate the infinite particle, infinite volume stochastic dynamic by the above $N$-particle dynamic in $\\Lambda$ as $N \\to \\infty$ and $V \\to \\infty$ such that $N/V \\to \\rho$, where $\\rho$ is the particle density.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-12-20T13:02:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60B12",
      "82C22",
      "60K35",
      "60J60",
      "60H10"
    ],
    "keywords": [
      "continuous particle systems",
      "infinite particle",
      "particle stochastic dynamic",
      "infinite volume stochastic dynamics",
      "lebesgue measure"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 35,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math.....12464G"
    }
  }
}