{
  "id": "2210.07734",
  "version": "v1",
  "published": "2022-10-14T12:09:37.000Z",
  "updated": "2022-10-14T12:09:37.000Z",
  "title": "Comparison of Extended Irreversible Thermodynamics with thermodynamics based on a distribution containing the first-passage time",
  "authors": [
    "V. V. Ryazanov"
  ],
  "comment": "14 pages",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "An analogy is drawn between version of non-equilibrium thermodynamics a distribution-based containing an additional thermodynamic first-passage time parameter and Extended Irreversible Thermodynamics with flows as an additional thermodynamic parameter. Thermodynamics containing an additional thermodynamic first-passage time parameter maps to Extended Irreversible Thermodynamics. Various conditions for the dependence of the distribution parameters of the first-passage time on the random value of energy, the first thermodynamic parameter, are considered. It is shown that more meaningful results are recorded when the time parameter relaxation time {\\tau} of Extended Irreversible Thermodynamics is replaced by the average first-passage time. Expressions are obtained for the average first-passage time through the flows.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-10-14T12:09:37.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "extended irreversible thermodynamics",
      "additional thermodynamic first-passage time parameter",
      "average first-passage time",
      "distribution containing",
      "thermodynamic first-passage time parameter maps"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}