{
  "id": "0901.0826",
  "version": "v1",
  "published": "2009-01-07T13:40:48.000Z",
  "updated": "2009-01-07T13:40:48.000Z",
  "title": "Quasi-lattice approximation of statistical systems with strong superstable interactions. Correlation functions",
  "authors": [
    "Alexei Rebenko",
    "Maksym Tertychnyi"
  ],
  "comment": "25 pages",
  "journal": "J.Math.Phys. (2009), 50, No. 3, P. 0333301-10",
  "doi": "10.1063/1.3081054",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "A continuous infinite system of point particles interacting via two-body strong superstable potential is considered in the framework of classical statistical mechanics. We define some kind of approximation of main quantities, which describe macroscopical and microscopical characteristics of systems, such as grand partition function and correlation functions. The pressure of an approximated system converge to the pressure of the initial system if the parameter of approximation $a\\to 0$ for any values of an inverse temperature $\\beta >0$ and a chemical activity $z$. The same result is true for the family of correlation functions in the region of small z",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-01-07T13:40:48.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "82B05",
      "82B21",
      "05.20.-y",
      "05.50.+q"
    ],
    "keywords": [
      "correlation functions",
      "strong superstable interactions",
      "quasi-lattice approximation",
      "statistical systems",
      "two-body strong superstable potential"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "AIP",
      "journal": "Journal of Mathematical Physics",
      "year": 2009,
      "month": "Mar",
      "volume": 50,
      "number": 3,
      "pages": 3301
    },
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009JMP....50c3301R"
    }
  }
}