{
  "id": "2409.00430",
  "version": "v1",
  "published": "2024-08-31T12:03:02.000Z",
  "updated": "2024-08-31T12:03:02.000Z",
  "title": "Models of heat transport with microscopic reversibility",
  "authors": [
    "Piero Olla"
  ],
  "comment": "11 page, 4 figures",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "The behavior of lattice models in which time reversibility is enforced at the level of trajectories (microscopic reversibility) is studied analytically. Conditions for ergodicity breaking are explored, and a few examples of systems characterized by an additional conserved quantity besides energy are presented. All the systems are characterized by ergodicity restoration when put in contact with a thermal bath, except for specific choices of the interactions between the atoms in the system and the bath. The study shows that the additional conserved quantities return to play a role in non-equilibrium conditions, with behaviors similar to those of some mesoscale systems, in which the transition rates satisfy detailed balance but not microscopic reversibility.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-08-31T12:03:02.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "microscopic reversibility",
      "heat transport",
      "additional conserved quantity",
      "transition rates satisfy detailed balance",
      "additional conserved quantities return"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}