{
  "id": "2206.12932",
  "version": "v1",
  "published": "2022-06-26T17:38:16.000Z",
  "updated": "2022-06-26T17:38:16.000Z",
  "title": "A classification of nonequilibrium steady states based on temperature correlations",
  "authors": [
    "Sergio Davis"
  ],
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "Although generalized ensembles have now been in use in statistical mechanics for decades, including frameworks such as Tsallis' nonextensive statistics and superstatistics, a classification of these generalized ensembles outlining the boundaries of validity of different families of models, is still lacking. In this work, such a classification is proposed in terms of supercanonical and subcanonical ensembles, according to a newly defined parameter, the inverse temperature covariance parameter $\\mathcal{U}$. This parameter is non-negative in superstatistics (and is equal to the variance of the inverse temperature) but can be negative for other families of statistical ensembles, adquiring then a broader meaning. It is shown that $\\mathcal{U}$ is equal for every region of a composite system in a steady state, and examples are given of supercanonical and subcanonical states.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-06-26T17:38:16.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "nonequilibrium steady states",
      "temperature correlations",
      "classification",
      "inverse temperature covariance parameter",
      "generalized ensembles"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}