Niggemann, OliverSeifert, Udo2023-04-212023-04-2120210022-47151572-96131844475743http://nbn-resolving.de/urn:nbn:de:bsz:93-opus-ds-129924http://elib.uni-stuttgart.de/handle/11682/12992http://dx.doi.org/10.18419/opus-12973A 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.eninfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by/4.0/530article2023-03-25