{
  "id": "cond-mat/9711287",
  "version": "v1",
  "published": "1997-11-27T07:03:40.000Z",
  "updated": "1997-11-27T07:03:40.000Z",
  "title": "Numerical Study of Local and Global Persistence in Directed Percolation",
  "authors": [
    "Haye Hinrichsen",
    "Hari M. Koduvely"
  ],
  "comment": "revtex, 7 pages, including 6 eps figures",
  "journal": "Eur. Phys. J. B 5, 257 (1998)",
  "doi": "10.1007/s100510050443",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "The local persistence probability P_l(t) that a site never becomes active up to time t, and the global persistence probability P_g(t) that the deviation of the global density from its mean value rho(t)-<\\rho(t)> does not change its sign up to time t are studied in a one-dimensional directed percolation process by Monte Carlo simulations. At criticality, starting from random initial conditions, both P_l(t) and P_g(t) decay algebraically with exponents theta_l ~ theta_g ~ 1.50(2), which is in contrast to previously known cases where theta_g < theta_l. The exponents are found to be independent of the initial density and the microscopic details of the dynamics, suggesting that theta_l and theta_g are universal exponents. It is shown that in the special case of directed-bond percolation, P_l(t) can be related to a certain return probability of a directed percolation process with an active source (wet wall).",
  "revisions": [
    {
      "version": "v1",
      "updated": "1997-11-27T07:03:40.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "numerical study",
      "one-dimensional directed percolation process",
      "local persistence probability",
      "global persistence probability",
      "mean value rho"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "RevTeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}