{
  "id": "2407.01821",
  "version": "v1",
  "published": "2024-07-01T21:42:19.000Z",
  "updated": "2024-07-01T21:42:19.000Z",
  "title": "Fluctuation-Response Relation in Non-Equilibrium Systems and Active Matter",
  "authors": [
    "T. R. Kirkpatrick",
    "D. Belitz"
  ],
  "comment": "14pp",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We use dynamic equations to derive a relation between correlation functions and response or relaxation functions in many-body systems. The relation is very general and holds both in equilibrium, when the usual fluctuation-dissipation theorem is valid, and to linear order in an expansion about arbitrary non-equilibrium states, when it is not. We illustrate our results by discussing fluids, both in equilibrium and non-equilibrium states, as well as several active-matter systems.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-07-01T21:42:19.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "fluctuation-response relation",
      "non-equilibrium systems",
      "active matter",
      "arbitrary non-equilibrium states",
      "usual fluctuation-dissipation theorem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}