{
  "id": "2007.07322",
  "version": "v1",
  "published": "2020-07-14T19:35:56.000Z",
  "updated": "2020-07-14T19:35:56.000Z",
  "title": "Fluctuation-Dissipation Relations in the absence of Detailed Balance: formalism and applications to Active Matter",
  "authors": [
    "Sara Dal Cengio",
    "Demian Levis",
    "Ignacio Pagonabarraga"
  ],
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.soft"
  ],
  "abstract": "We present a comprehensive study about the relationship between the way Detailed Balance is broken in non-equilibrium systems and the resulting violations of the Fluctuation-Dissipation Theorem. Starting from stochastic dynamics with both odd and even variables under Time-Reversal, we exploit the relation between entropy production and the breakdown of Detailed Balance to establish general constraints on the non-equilibrium steady-states (NESS), which relate the non-equilibrium character of the dynamics with symmetry properties of the NESS distribution. This provides a direct route to derive extended Fluctuation-Dissipation Relations, expressing the linear response function in terms of NESS correlations. Such framework provides a unified way to understand the departure from equilibrium of active systems and its linear response. We then consider two paradigmatic models of interacting self-propelled particles, namely Active Brownian Particles (ABP) and Active Ornstein-Uhlenbeck Particles (AOUP). We analyze the non-equilibrium character of these systems (also within a Markov and a Chapman-Enskog approximation) and derive extended Fluctuation-Dissipation Relations for them, clarifying which features of these active model systems are genuinely non-equilibrium.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-07-14T19:35:56.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "detailed balance",
      "active matter",
      "derive extended fluctuation-dissipation relations",
      "non-equilibrium character",
      "applications"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}