{
  "id": "1908.11287",
  "version": "v1",
  "published": "2019-08-29T15:17:47.000Z",
  "updated": "2019-08-29T15:17:47.000Z",
  "title": "Using the fluctuation-dissipation theorem for non-conservative forces",
  "authors": [
    "Kiryl Asheichyk",
    "Matthias Krüger"
  ],
  "comment": "5 pages, 3 figures",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "An equilibrium system which is perturbed by an external potential relaxes to a new equilibrium state, a process obeying the fluctuation-dissipation theorem. In contrast, perturbing by non-conservative forces yields a nonequilibrium steady state, and the fluctuation-dissipation theorem can in general not be applied. Here we exploit a freedom inherent to linear response theory: Force fields which perform work that does not couple statistically to the considered observable can be added without changing the response. Using this freedom, we demonstrate that the fluctuation-dissipation theorem can be applied for certain non-conservative forces. We discuss the case of a non-conservative force field linear in particle coordinates, where the mentioned freedom can be formulated in terms of symmetries. In particular, for the case of shear, this yields a new response formula, which we find advantageous over the known Green-Kubo relation in terms of statistical accuracy.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-08-29T15:17:47.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "fluctuation-dissipation theorem",
      "linear response theory",
      "external potential relaxes",
      "non-conservative force field linear",
      "nonequilibrium steady state"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}