{
  "id": "cond-mat/9804160",
  "version": "v2",
  "published": "1998-04-15T16:48:21.000Z",
  "updated": "1998-04-29T21:38:02.000Z",
  "title": "Diffusive persistence and the `sign-time' distribution",
  "authors": [
    "T. J. Newman",
    "Z. Toroczkai"
  ],
  "comment": "5 pages, 2 tar gzip figures (Latex), subm. to PRE (Rapid Comm), new reference added",
  "doi": "10.1103/PhysRevE.58.R2685",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We present a new method for extracting the persistence exponent theta for the diffusion equation, based on the distribution P of `sign-times'. With the aid of a numerically verified Ansatz for P we derive an exact formula for theta in arbitrary spatial dimension d. Our results are in excellent agreement with previous numerical studies. Furthermore, our results indicate a qualitative change in P above d ~ 36, signalling the existence of a sharp change in the ergodic properties of the diffusion field.",
  "revisions": [
    {
      "version": "v2",
      "updated": "1998-04-29T21:38:02.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "diffusive persistence",
      "distribution",
      "persistence exponent theta",
      "arbitrary spatial dimension",
      "exact formula"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}