{
  "id": "2408.16691",
  "version": "v1",
  "published": "2024-08-29T16:38:14.000Z",
  "updated": "2024-08-29T16:38:14.000Z",
  "title": "Noether's theorem applied to $\\texttt{GENERIC}$",
  "authors": [
    "Aaron Beyen",
    "Christian Maes"
  ],
  "comment": "20 pages",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "The adiabatic invariance of the thermodynamic entropy invites a connection with Noether's theorem, which has been the subject of various papers. Here we include macroscopic dynamics known as $\\texttt{GENERIC}$ for which the dynamical fluctuations show a canonical structure. We find a continuous symmetry of the corresponding path-space action when restricting to quasistatic trajectories, with the thermodynamic entropy as Noether charge.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-08-29T16:38:14.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "noethers theorem",
      "thermodynamic entropy invites",
      "adiabatic invariance",
      "noether charge",
      "corresponding path-space action"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}