{
  "id": "cond-mat/0404402",
  "version": "v1",
  "published": "2004-04-16T17:10:10.000Z",
  "updated": "2004-04-16T17:10:10.000Z",
  "title": "Stochastic properties of systems controlled by autocatalytic reactions I",
  "authors": [
    "L. Pal"
  ],
  "comment": "14 pages, 8 figures",
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.dis-nn"
  ],
  "abstract": "We analyzed the stochastic behavior of systems controlled by autocatalytic reaction A+X -> X+X. Assuming the distribution of reacting particles in the system volume to be uniform, we introduced the notion of the point model of reaction kinetics, and derived a system of differential equations for probabilities of finding n=0,1,... autocatalytic particles at a given time moment. It has been found that the kinetic law of the mass action cannot be supported by stochastic model.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-04-16T17:10:10.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "autocatalytic reaction",
      "stochastic properties",
      "stochastic behavior",
      "kinetic law"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004cond.mat..4402P"
    }
  }
}