{
  "id": "1606.04248",
  "version": "v1",
  "published": "2016-06-14T08:34:37.000Z",
  "updated": "2016-06-14T08:34:37.000Z",
  "title": "Conformal invariance in driven diffusive systems at high currents",
  "authors": [
    "D. Karevski",
    "G. M. Schütz"
  ],
  "comment": "5 pages, 2 figures",
  "categories": [
    "cond-mat.stat-mech",
    "math.PR"
  ],
  "abstract": "We consider space-time correlations in driven diffusive systems which undergo a fluctuation into a regime with an atypically large current or dynamical activity. For a single conserved mass we show that the spatio-temporal density correlations in one space dimension are given by conformally invariant field theories with central charge $c=1$, corresponding to a ballistic universality class with dynamical exponent $z=1$. We derive a phase diagram for atypical behaviour that besides the conformally invariant regime exhibits a regime of phase separation for atypically low current or activity. On the phase transition line, corresponding to typical behaviour, the dynamics belongs to the Kardar-Parisi-Zhang universality class with dynamical exponent $z=3/2$, except for a diffusive point with $z=2$. We demonstrate the validity of the theory for the one-dimensional asymmetric simple exclusion process with both periodic and open boundaries by exact results for the dynamical structure in the limit of maximal current.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-06-14T08:34:37.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "82C26",
      "82C27",
      "82C22"
    ],
    "keywords": [
      "driven diffusive systems",
      "high currents",
      "conformal invariance",
      "one-dimensional asymmetric simple exclusion process",
      "kardar-parisi-zhang universality class"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}