{
  "id": "cond-mat/9804305",
  "version": "v1",
  "published": "1998-04-28T19:10:45.000Z",
  "updated": "1998-04-28T19:10:45.000Z",
  "title": "An Analytical Study of Coupled Two-State Stochastic Resonators",
  "authors": [
    "Udo Siewert",
    "Lutz Schimansky-Geier"
  ],
  "comment": "29 pages, 5 figures",
  "doi": "10.1103/PhysRevE.58.2843",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "The two-state model of stochastic resonance is extended to a chain of coupled two-state elements governed by the dynamics of Glauber's stochastic Ising model. Appropriate assumptions on the model parameters turn the chain into a prototype system of coupled stochastic resonators. In a weak-signal limit analytical expressions are derived for the spectral power amplification and the signal-to-noise ratio of a two-state element embedded into the chain. The effect of the coupling between the elements on both quantities is analysed and array-enhanced stochastic resonance is established for pure as well as noisy periodic signals. The coupling-induced improvement of the SNR compared to an uncoupled element is shown to be limited by a factor four which is only reached for vanishing input noise.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1998-04-28T19:10:45.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "coupled two-state stochastic resonators",
      "analytical study",
      "stochastic resonance",
      "two-state element",
      "model parameters turn"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. E"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 29,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}