{
  "id": "2207.08218",
  "version": "v1",
  "published": "2022-07-17T16:26:46.000Z",
  "updated": "2022-07-17T16:26:46.000Z",
  "title": "Thermodynamic bounds for diffusion in non-equilibrium systems with multiple timescales",
  "authors": [
    "Andrea Plati",
    "Andrea Puglisi",
    "Alessandro Sarracino"
  ],
  "comment": "One file with Main text (5 pages, 1 figure) and Supplementary Informations (7 pages, 2 figures)",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We derive a Thermodynamic Uncertainty Relation bounding the mean squared displacement of a Gaussian process with memory, driven out of equilibrium by unbalanced thermal baths and/or by external forces. Our bound is tighter with respect to previous results and also holds at finite time. We apply our findings to experimental and numerical data for a many-body interacting granular fluid, characterized by regimes of anomalous diffusion. In some cases, our relation can distinguish between equilibrium and non-equilibrium behavior, a non-trivial inference task, particularly for Gaussian processes.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-07-17T16:26:46.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "thermodynamic bounds",
      "multiple timescales",
      "non-equilibrium systems",
      "gaussian process",
      "non-trivial inference task"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}