{
  "id": "2211.08301",
  "version": "v1",
  "published": "2022-11-15T16:58:20.000Z",
  "updated": "2022-11-15T16:58:20.000Z",
  "title": "The Many Faces of Fluctuation-Dissipation Relations Out of Equilibrium",
  "authors": [
    "Marco Baldovin",
    "Lorenzo Caprini",
    "Andrea Puglisi",
    "Alessandro Sarracino",
    "Angelo Vulpiani"
  ],
  "comment": "29 pages, 3 figures, chapter in the book \"Nonequilibrium Thermodynamics and Fluctuation Kinetics\" (editors L\\'eon Brenig, Nikolai Brilliantov, Mustapha Tlidi) Springer 2022",
  "journal": "in \"Nonequilibrium Thermodynamics and Fluctuation Kinetics\" (L. Brenig, N. Brilliantov, M. Tlidi eds.) pp.29-57, FTPH,volume 208 (Springer, 2022)",
  "doi": "10.1007/978-3-031-04458-8_3",
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.soft"
  ],
  "abstract": "In this paper, we offer to the reader an essential review of the theory of Fluctuation-Dissipation Relations (FDR), from the first formulations due to Einstein and Onsager, to the recent developments in the framework of stochastic thermodynamics of non-equilibrium system. We focus on two general approaches, somehow complementary, where out-of-equilibrium contributions to the FDR are expressed in terms of different quantities, related either to the stationary distribution or to the transition rates of the system. In particular, we discuss applications of the FDR in the general field of causation and inference, and in the contexts of non-equilibrium systems, such as spin models, granular media and active matter.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-11-15T16:58:20.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "fluctuation-dissipation relations",
      "non-equilibrium system",
      "transition rates",
      "essential review",
      "stationary distribution"
    ],
    "tags": [
      "book chapter",
      "journal article"
    ],
    "publication": {
      "publisher": "Springer"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 29,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}