{
  "id": "cond-mat/0105599",
  "version": "v1",
  "published": "2001-05-30T18:56:46.000Z",
  "updated": "2001-05-30T18:56:46.000Z",
  "title": "1/f Noise and Extreme Value Statistics",
  "authors": [
    "T. Antal",
    "M. Droz",
    "G. Gyorgyi",
    "Z. Racz"
  ],
  "comment": "4 pages, 4 postscript figures, RevTex",
  "journal": "Phys.Rev.Lett. 87, 240601 (2001)",
  "doi": "10.1103/PhysRevLett.87.240601",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We study the finite-size scaling of the roughness of signals in systems displaying Gaussian 1/f power spectra. It is found that one of the extreme value distributions (Gumbel distribution) emerges as the scaling function when the boundary conditions are periodic. We provide a realistic example of periodic 1/f noise, and demonstrate by simulations that the Gumbel distribution is a good approximation for the case of nonperiodic boundary conditions as well. Experiments on voltage fluctuations in GaAs films are analyzed and excellent agreement is found with the theory.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2001-05-30T18:56:46.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "extreme value statistics",
      "gumbel distribution",
      "extreme value distributions",
      "nonperiodic boundary conditions",
      "realistic example"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. Lett."
    },
    "note": {
      "typesetting": "RevTeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}