{
  "id": "1808.00306",
  "version": "v1",
  "published": "2018-08-01T12:58:46.000Z",
  "updated": "2018-08-01T12:58:46.000Z",
  "title": "Equilibrium fluctuations for a chain of anharmonic oscillators in the Euler scaling limit",
  "authors": [
    "Stefano Olla",
    "Lu Xu"
  ],
  "categories": [
    "math.PR",
    "cond-mat.stat-mech",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We study the macroscopic behavior of the fluctuations in equilibrium for the conserved quantities of an anharmonic chain of oscillators under hyperbolic scaling of space and time. Under a stochastic perturbation of the dynamics conservative of such quantities, we prove that these fluctuations evolve macroscopically following the linearized Euler system of equations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-08-01T12:58:46.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "euler scaling limit",
      "anharmonic oscillators",
      "equilibrium fluctuations",
      "macroscopic behavior",
      "quantities"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}