{
  "id": "1407.3153",
  "version": "v1",
  "published": "2014-07-11T13:34:18.000Z",
  "updated": "2014-07-11T13:34:18.000Z",
  "title": "The Einstein relation for the KPZ equation",
  "authors": [
    "Patricia Gonçalves",
    "Milton Jara"
  ],
  "comment": "9 pages",
  "categories": [
    "math.PR",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We compute the non-universal constants in the KPZ equation in one dimension, in terms of the thermodynamical quantities associated to the underlying microscopic dynamics. In particular, we derive the second-order Einstein relation $\\lambda = \\frac{1}{2}\\frac{d^2}{d\\rho^2} \\chi(\\rho) D(\\rho)$ for the transport coefficient $\\lambda$ of the KPZ equation, in terms of the conserved quantity $\\rho$, the diffusion coefficient $D$ and the static compressibility of the system $\\chi$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-07-11T13:34:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60K35"
    ],
    "keywords": [
      "kpz equation",
      "second-order einstein relation",
      "non-universal constants",
      "diffusion coefficient",
      "transport coefficient"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1007/s10955-014-1158-9",
      "journal": "Journal of Statistical Physics",
      "year": 2015,
      "month": "Mar",
      "volume": 158,
      "number": 6,
      "pages": 1262
    },
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015JSP...158.1262G"
    }
  }
}