{
  "id": "1605.07542",
  "version": "v1",
  "published": "2016-05-24T16:57:04.000Z",
  "updated": "2016-05-24T16:57:04.000Z",
  "title": "Affinity- and topology-dependent bound on current fluctuations",
  "authors": [
    "Patrick Pietzonka",
    "Andre C. Barato",
    "Udo Seifert"
  ],
  "comment": "10 pages, 3 figures",
  "categories": [
    "cond-mat.stat-mech",
    "physics.bio-ph",
    "physics.chem-ph"
  ],
  "abstract": "We provide a proof of a recently conjectured universal bound on current fluctuations in Markovian processes. This bound establishes a link between the fluctuations of an individual observable current, the cycle affinities driving the system into a non-equilibrium steady state, and the topology of the network. The proof is based on a decomposition of the network into independent cycles with both positive affinity and positive stationary cycle current. This formalism allows for a refinement of the bound for systems in equilibrium or with locally vanishing affinities.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-05-24T16:57:04.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "current fluctuations",
      "topology-dependent bound",
      "non-equilibrium steady state",
      "positive stationary cycle current",
      "cycle affinities"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}