{
  "id": "1811.04591",
  "version": "v1",
  "published": "2018-11-12T07:45:12.000Z",
  "updated": "2018-11-12T07:45:12.000Z",
  "title": "Thermodynamics without ergodicity",
  "authors": [
    "V. L. Kulinskii",
    "K. S. Glavatskiy"
  ],
  "categories": [
    "cond-mat.stat-mech",
    "physics.class-ph"
  ],
  "abstract": "We show that fundamental thermodynamic relations can be derived from deterministic mechanics for a non-ergodic system. This extend a similar derivation for ergodic systems and suggests that ergodicity should not be considered as a requirement for a system to exhibit a thermodynamic behavior. Our analysis emphasizes the role of adiabatic invariants in deterministic description and strengthens the link between mechanics and thermodynamics. In particular, we argue that macroscopic thermodynamic behavior of a system is caused by the existence of different time scales in its deterministic microscopic evolution.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-11-12T07:45:12.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "ergodicity",
      "fundamental thermodynamic relations",
      "deterministic microscopic evolution",
      "macroscopic thermodynamic behavior",
      "deterministic mechanics"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}