{
  "id": "cond-mat/9912347",
  "version": "v2",
  "published": "1999-12-20T10:08:02.000Z",
  "updated": "2000-09-25T13:32:59.000Z",
  "title": "Critical properties of the reaction - diffusion model 2A -> 3A, 2A ->0",
  "authors": [
    "Enrico Carlon",
    "Malte Henkel",
    "Ulrich Schollwoeck"
  ],
  "comment": "Substantially revised version, RevTeX, 10 Pages and 5 PostScript figures included",
  "journal": "Phys. Rev. E 63, 036101 (2001)",
  "doi": "10.1103/PhysRevE.63.036101",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "The steady-state phase diagram of the one-dimensional reaction-diffusion model 2A -> 3A, 2A -> 0 is studied through the non-hermitian density matrix renormalization group. In the absence of single-particle diffusion the model reduces to the pair-contact process, which has a phase transition in the universality class of Directed Percolation (DP) and an infinite number of absorbing steady states. When single-particle diffusion is added, the number of absorbing steady states is reduced to two and the model does not show DP critical behaviour anymore. The exponents $\\theta=\\nu_{\\|}/\\nu_{\\perp}$ and $\\beta/\\nu_{\\perp}$ are calculated numerically. The value of $\\beta/\\nu_{\\perp}$ is close to the value of the Parity Conserving universality class, in spite of the absence of local conservation laws.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2000-09-25T13:32:59.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "critical properties",
      "non-hermitian density matrix renormalization group",
      "absorbing steady states",
      "one-dimensional reaction-diffusion model 2a",
      "single-particle diffusion"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. E"
    },
    "note": {
      "typesetting": "RevTeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}