{
  "id": "1004.1090",
  "version": "v1",
  "published": "2010-04-07T13:44:26.000Z",
  "updated": "2010-04-07T13:44:26.000Z",
  "title": "Fast algorithms for classical $X\\to 0$ diffusion-reaction processes",
  "authors": [
    "Fabrice Thalmann",
    "Nam-Kyung Lee"
  ],
  "comment": "10 pages, 3 tables, 15 figures",
  "journal": "Journal of Chemical Physics 130, 074102 (2009)",
  "doi": "10.1063/1.3072706",
  "categories": [
    "cond-mat.stat-mech",
    "physics.comp-ph"
  ],
  "abstract": "The Doi formalism treats a reaction-diffusion process as a quantum many-body problem. We use this second quantized formulation as a starting point to derive a numerical scheme for simulating $X\\to 0$ reaction-diffusion processes, following a well-established time discretization procedure. In the case of a reaction zone localized in the configuration space, this formulation provides also a systematic way of designing an optimized, multiple time step algorithm, spending most of the computation time to sample the configurations where the reaction is likely to occur.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-04-07T13:44:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "82.20.Wt"
    ],
    "keywords": [
      "diffusion-reaction processes",
      "fast algorithms",
      "multiple time step algorithm",
      "doi formalism treats",
      "well-established time discretization procedure"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "AIP",
      "journal": "Journal of Chemical Physics",
      "year": 2009,
      "month": "Feb",
      "volume": 130,
      "number": 7,
      "pages": 4102
    },
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009JChPh.130g4102T"
    }
  }
}