{
  "id": "cond-mat/0201198",
  "version": "v1",
  "published": "2002-01-13T17:33:32.000Z",
  "updated": "2002-01-13T17:33:32.000Z",
  "title": "Simple model for 1/f noise",
  "authors": [
    "J. Davidsen",
    "H. G. Schuster"
  ],
  "comment": "4 pages, 4 figures",
  "journal": "Phys. Rev. E 65, 026120 (2002)",
  "doi": "10.1103/PhysRevE.65.026120",
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.dis-nn"
  ],
  "abstract": "We present a simple stochastic mechanism which generates pulse trains exhibiting a power law distribution of the pulse intervals and a $1/f^\\alpha$ power spectrum over several decades at low frequencies with $\\alpha$ close to one. The essential ingredient of our model is a fluctuating threshold which performs a Brownian motion. Whenever an increasing potential $V(t)$ hits the threshold, $V(t)$ is reset to the origin and a pulse is emitted. We show that if $V(t)$ increases linearly in time, the pulse intervals can be approximated by a random walk with multiplicative noise. Our model agrees with recent experiments in neurobiology and explains the high interpulse interval variability and the occurrence of $1/f^\\alpha$ noise observed in cortical neurons and earthquake data.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-01-13T17:33:32.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "simple model",
      "high interpulse interval variability",
      "pulse intervals",
      "power law distribution",
      "simple stochastic mechanism"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. E"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}