{
  "id": "2212.00527",
  "version": "v1",
  "published": "2022-12-01T14:23:28.000Z",
  "updated": "2022-12-01T14:23:28.000Z",
  "title": "Thermalization with a multibath: an investigation in simple models",
  "authors": [
    "Giovanni Battista Carollo",
    "Federico Corberi",
    "Giuseppe Gonnella"
  ],
  "comment": "15 pages, 6 figures",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We study analytically and numerically a couple of paradigmatic spin models, each described in terms of two sets of variables attached to two different thermal baths with characteristic timescales $T$ and $\\tau$ and inverse temperatures $B$ and $\\beta$. In the limit in which one bath becomes extremely slow ($\\tau \\to \\infty$), such models amount to a paramagnet and to a one-dimensional ferromagnet, in contact with a single bath. We show that these systems reach a stationary state in a finite time for any choice of $B$ and $\\beta$. We determine the non-equilibrium fluctuation-dissipation relation between the autocorrelation and the response function in such state and, from that, we discuss if and how thermalization with the two baths occurs and the emergence of a non-trivial fluctuation-dissipation ratio.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-12-01T14:23:28.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "simple models",
      "thermalization",
      "investigation",
      "paradigmatic spin models",
      "non-equilibrium fluctuation-dissipation relation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}