{
  "id": "1408.5033",
  "version": "v1",
  "published": "2014-08-21T15:13:09.000Z",
  "updated": "2014-08-21T15:13:09.000Z",
  "title": "A formal view on 2.5 large deviations and fluctuation relations",
  "authors": [
    "Andre C. Barato",
    "Raphael Chetrite"
  ],
  "comment": "18 pages",
  "categories": [
    "cond-mat.stat-mech",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We obtain the rate function for the level 2.5 of large deviations for pure jump and diffusion processes. This result is proved with two methods: tilting, for which a tilted processes with an appropriate typical behavior is considered, and a spectral method, for which the scaled cumulant generating function is used. We also briefly discuss fluctuation relations, pointing out their connection with large deviations at the level 2.5.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-08-21T15:13:09.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "large deviations",
      "fluctuation relations",
      "formal view",
      "rate function",
      "scaled cumulant generating function"
    ],
    "publication": {
      "doi": "10.1007/s10955-015-1283-0",
      "journal": "Journal of Statistical Physics",
      "year": 2015,
      "month": "Sep",
      "volume": 160,
      "number": 5,
      "pages": 1154
    },
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015JSP...160.1154B"
    }
  }
}