{
  "id": "0708.3314",
  "version": "v1",
  "published": "2007-08-24T11:29:37.000Z",
  "updated": "2007-08-24T11:29:37.000Z",
  "title": "Autocatalytic reaction on low-dimensional substrates",
  "authors": [
    "E. Agliari",
    "R. Burioni",
    "D. Cassi",
    "F. M. Neri"
  ],
  "comment": "15 pages",
  "doi": "10.1007/s00214-007-0323-5",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We discuss a model for the autocatalytic reaction $A+B\\to 2A$ on substrates where the reactants perform a compact exploration of the space, i.e., on lattices whose spectral dimension $\\tilde{d}$ is $< 2$. For finite systems, the total time $\\tau$ for the reaction to end scales according to two different regimes, for high and low concentrations of reactants. The functional dependence of $\\tau$ on the volume of the substrate and the concentration of reactants is discussed within a mean-field approximation. Possible applications are discussed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-08-24T11:29:37.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "autocatalytic reaction",
      "low-dimensional substrates",
      "spectral dimension",
      "mean-field approximation",
      "reactants perform"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0708.3314A"
    }
  }
}