{
  "id": "2009.12126",
  "version": "v1",
  "published": "2020-09-25T10:59:54.000Z",
  "updated": "2020-09-25T10:59:54.000Z",
  "title": "Numerical Study of the Thermodynamic Uncertainty Relation for the KPZ-Equation",
  "authors": [
    "Oliver Niggemann",
    "Udo Seifert"
  ],
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "A general framework for the field-theoretic thermodynamic uncertainty relation was recently proposed and illustrated with the $(1+1)$ dimensional Kardar-Parisi-Zhang equation. In the present paper, the analytical results obtained there in the weak coupling limit are tested via a direct numerical simulation of the KPZ equation with good agreement. The accuracy of the numerical results varies with the respective choice of discretization of the KPZ non-linearity. Whereas the numerical simulations strongly support the analytical predictions, an inherent limitation to the accuracy of the approximation to the total entropy production is found. In an analytical treatment of a generalized discretization of the KPZ non-linearity, the origin of this limitation is explained and shown to be an intrinsic property of the employed discretization scheme.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-09-25T10:59:54.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "numerical study",
      "kpz non-linearity",
      "field-theoretic thermodynamic uncertainty relation",
      "kpz-equation",
      "total entropy production"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}