{
  "id": "1911.10825",
  "version": "v1",
  "published": "2019-11-25T10:54:05.000Z",
  "updated": "2019-11-25T10:54:05.000Z",
  "title": "Ballistic space-time correlators of the classical Toda lattice",
  "authors": [
    "Herbert Spohn"
  ],
  "comment": "19 pages",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "The Toda lattice is an integrable system and its natural space-time stationary states are the generalized Gibbs ensembles (GGE). Of particular physical interest are then the space-time correlations of the conserved fields. To leading order they scale ballistically. We report on the exact solution of the respective generalized hydrodynamic equations linearized around a GGE as background state. Thereby we obtain a concise formula for the family of scaling functions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-11-25T10:54:05.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "ballistic space-time correlators",
      "classical toda lattice",
      "natural space-time stationary states",
      "generalized gibbs ensembles",
      "concise formula"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}