{
  "id": "2305.12047",
  "version": "v1",
  "published": "2023-05-20T00:33:49.000Z",
  "updated": "2023-05-20T00:33:49.000Z",
  "title": "Maximum speed of dissipation",
  "authors": [
    "Swetamber Das",
    "Jason R. Green"
  ],
  "comment": "9 pages and 4 figures; comments are welcomed",
  "categories": [
    "cond-mat.stat-mech",
    "nlin.CD"
  ],
  "abstract": "Physical systems powering motion or creating structure in a fixed amount of time dissipate energy and produce entropy. Here, we derive speed limits on dissipation from the classical, chaotic dynamics of many-particle systems: the inverse of the entropy irreversibly produced bounds the time to execute a physical process for deterministic systems out of equilibrium, $\\Delta t\\geq k_B/\\bar s_i$. We relate this statistical-mechanical speed limit on the mean entropy rate to deterministic fluctuation theorems. For paradigmatic classical systems, such as those exchanging energy with a deterministic thermostat, there is a trade-off between the time to evolve to a distinguishable state and the heat flux, $\\bar{q}\\Delta t\\geq k_BT$. In all these forms, the inequality constrains the relationship between dissipation and time during any nonstationary process including transient excursions from steady states.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-05-20T00:33:49.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "dissipation",
      "time dissipate energy",
      "deterministic fluctuation theorems",
      "mean entropy rate",
      "speed limit"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}