{
  "id": "1902.07751",
  "version": "v1",
  "published": "2019-02-20T19:46:00.000Z",
  "updated": "2019-02-20T19:46:00.000Z",
  "title": "Generalized Gibbs Ensembles of the Classical Toda Chain",
  "authors": [
    "Herbert Spohn"
  ],
  "categories": [
    "cond-mat.stat-mech",
    "math-ph",
    "math.MP"
  ],
  "abstract": "The Toda chain is the prime example of a classical integrable system with strictly local conservation laws. Relying on the Dumitriu-Edelman matrix model, we obtain the generalized free energy of the Toda chain and thereby establish a mapping to the one-dimensional log-gas with an interaction strength of order 1/N. The (deterministic) local density of states of the Lax matrix is identified as the object, which should evolve according to generalized hydrodynamics.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-02-20T19:46:00.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "generalized gibbs ensembles",
      "classical toda chain",
      "strictly local conservation laws",
      "dumitriu-edelman matrix model",
      "interaction strength"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}