{
  "id": "2207.11070",
  "version": "v1",
  "published": "2022-07-22T13:25:39.000Z",
  "updated": "2022-07-22T13:25:39.000Z",
  "title": "Exact computation of heat capacities for active particles on a graph",
  "authors": [
    "Faezeh Khodabandehlou",
    "Simon Krekels",
    "Irene Maes"
  ],
  "comment": "13 pages, 8 figures",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "The notion of a nonequilibrium heat capacity is important for bio-energetics and for calorimetry of active materials more generally. It centers around the notion of excess heat or excess work dissipated during a quasistatic relaxation between different nonequilibrium conditions. We give exact results for active random walks moving in an energy landscape on a graph, based on calculations employing the matrix-tree and matrix-forest theorems. That graphical method applies to any Markov jump process under the physical condition of local detailed balance, and is not restricted to the examples given in this paper.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-07-22T13:25:39.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "exact computation",
      "active particles",
      "markov jump process",
      "nonequilibrium heat capacity",
      "excess heat"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}