{
  "id": "cond-mat/0407154",
  "version": "v2",
  "published": "2004-07-07T09:12:45.000Z",
  "updated": "2004-08-20T16:33:58.000Z",
  "title": "Reaction-diffusion with a time-dependent reaction rate: the single-species diffusion-annihilation process",
  "authors": [
    "L. Turban"
  ],
  "comment": "11 pages, 9 figures, minor corrections",
  "journal": "J. Phys. A 37 (2004) 8467",
  "doi": "10.1088/0305-4470/37/35/005",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We study the single-species diffusion-annihilation process with a time-dependent reaction rate, lambda(t)=lambda_0 t^-omega. Scaling arguments show that there is a critical value of the decay exponent omega_c(d) separating a reaction-limited regime for omega > omega_c from a diffusion-limited regime for omega < omega_c. The particle density displays a mean-field, omega-dependent, decay when the process is reaction limited whereas it behaves as for a constant reaction rate when the process is diffusion limited. These results are confirmed by Monte Carlo simulations. They allow us to discuss the scaling behaviour of coupled diffusion-annihilation processes in terms of effective time-dependent reaction rates.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2004-08-20T16:33:58.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "single-species diffusion-annihilation process",
      "reaction-diffusion",
      "monte carlo simulations",
      "constant reaction rate",
      "effective time-dependent reaction rates"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}