{
  "id": "2004.06491",
  "version": "v1",
  "published": "2020-04-14T13:37:14.000Z",
  "updated": "2020-04-14T13:37:14.000Z",
  "title": "Thermodynamics of small systems with emergent structures",
  "authors": [
    "Jan Korbel",
    "Simon David Lindner",
    "Rudolf Hanel",
    "Stefan Thurner"
  ],
  "comment": "6 pages, 2 figures, including supplementary material",
  "categories": [
    "cond-mat.stat-mech",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We derive the entropy for a closed system of particles that can form structures, molecules in the simplest case. The entropy differs from the Boltzmann-Gibbs entropy by a term that captures the molecule states. For large systems the approach is equivalent to the grand canonical ensemble. For small systems large molecules start to play a dominant role. The number of molecules becomes a key quantity and appears explicitly in the second law of thermodynamics and in fluctuation theorems. We show that the fully connected Ising model with emergent structures exhibits a first-order phase transition.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-04-14T13:37:14.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "emergent structures",
      "small systems large molecules start",
      "thermodynamics",
      "first-order phase transition",
      "simplest case"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}