{
  "id": "cond-mat/0112338",
  "version": "v1",
  "published": "2001-12-18T16:26:06.000Z",
  "updated": "2001-12-18T16:26:06.000Z",
  "title": "System size resonance in coupled noisy systems and in the Ising model",
  "authors": [
    "A. Pikovsky",
    "A. Zaikin",
    "M. A. de la Casa"
  ],
  "comment": "4 pages",
  "doi": "10.1103/PhysRevLett.88.050601",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We consider an ensemble of coupled nonlinear noisy oscillators demonstrating in the thermodynamic limit an Ising-type transition. In the ordered phase and for finite ensembles stochastic flips of the mean field are observed with the rate depending on the ensemble size. When a small periodic force acts on the ensemble, the linear response of the system has a maximum at a certain system size, similar to the stochastic resonance phenomenon. We demonstrate this effect of system size resonance for different types of noisy oscillators and for different ensembles -- lattices with nearest neighbors coupling and globally coupled populations. The Ising model is also shown to demonstrate the system size resonance.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2001-12-18T16:26:06.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "system size resonance",
      "coupled noisy systems",
      "ising model",
      "nonlinear noisy oscillators demonstrating",
      "finite ensembles stochastic flips"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. Lett."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}