{
  "id": "cond-mat/9910245",
  "version": "v2",
  "published": "1999-10-15T19:15:34.000Z",
  "updated": "2000-06-09T12:16:17.000Z",
  "title": "Two-Species Reaction-Diffusion System with Equal Diffusion Constants: Anomalous Density Decay at Large Times",
  "authors": [
    "Zoran Konkoli",
    "Henrik Johannesson"
  ],
  "comment": "revised version (more figures, claim on exactnes of d=2 treatment removed), 5 pages, 3 figures, RevTex, see related paper Phys. Rev. E, R3787, (1999) or cond-mat/9901147, to appear in Phys. Rev. E",
  "journal": "Z. Konkoli and H. Johannesson, Phys. Rev. E vol 62, 3276 (2000)",
  "doi": "10.1103/PhysRevE.62.3276",
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.soft"
  ],
  "abstract": "We study a two-species reaction-diffusion model where A+A->0, A+B->0 and B+B->0, with annihilation rates lambda0, delta0 > lambda0 and lambda0, respectively. The initial particle configuration is taken to be randomly mixed with mean densities nA(0) > nB(0), and with the two species A and B diffusing with the same diffusion constant. A field-theoretic renormalization group analysis suggests that, contrary to expectation, the large-time density of the minority species decays at the same rate as the majority when d<=2. Monte Carlo data supports the field theory prediction in d=1, while in d=2 the logarithmically slow convergence to the large-time asymptotics makes a numerical test difficult.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2000-06-09T12:16:17.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "two-species reaction-diffusion system",
      "equal diffusion constants",
      "anomalous density decay",
      "large times",
      "field-theoretic renormalization group analysis"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. E"
    },
    "note": {
      "typesetting": "RevTeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}