{
  "id": "1101.4097",
  "version": "v1",
  "published": "2011-01-21T09:45:59.000Z",
  "updated": "2011-01-21T09:45:59.000Z",
  "title": "On anomalous diffusion and the out of equilibrium response function in one-dimensional models",
  "authors": [
    "D Villamaina",
    "A Sarracino",
    "G Gradenigo",
    "A Puglisi",
    "A Vulpiani"
  ],
  "comment": "10 pages, 4 figures",
  "journal": "J. Stat. Mech. (2011) L01002",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We study how the Einstein relation between spontaneous fluctuations and the response to an external perturbation holds in the absence of currents, for the comb model and the elastic single-file, which are examples of systems with subdiffusive transport properties. The relevance of non-equilibrium conditions is investigated: when a stationary current (in the form of a drift or an energy flux) is present, the Einstein relation breaks down, as is known to happen in systems with standard diffusion. In the case of the comb model, a general relation, which has appeared in the recent literature, between the response function and an unperturbed suitable correlation function, allows us to explain the observed results. This suggests that a relevant ingredient in breaking the Einstein formula, for stationary regimes, is not the anomalous diffusion but the presence of currents driving the system out of equilibrium.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-01-21T09:45:59.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "equilibrium response function",
      "anomalous diffusion",
      "one-dimensional models",
      "comb model",
      "einstein relation breaks"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1088/1742-5468/2011/01/L01002",
      "journal": "Journal of Statistical Mechanics: Theory and Experiment",
      "year": 2011,
      "month": "Jan",
      "volume": 2011,
      "number": 1
    },
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011JSMTE..01L.002V"
    }
  }
}