BPCPPDYSOE21 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 3: Statistical Physics 1 - organized by Barbara Drossel (Darmstadt), Sabine Klapp (Berlin) and Thomas Speck (Mainz)
DY 3.3: Vortrag
Montag, 22. März 2021, 09:40–10:00, DYb
Thermodynamic Uncertainty Relation for a Stochastic Field Theory – KPZ-Equation as a Paradigmatic Example — •Oliver Niggemann and Udo Seifert — II. Institut für Theoretische Physik, Universität Stuttgart
Recently, a thermodynamic uncertainty relation (TUR) for a generic stochastic field theory has been proposed [1]. In this talk, I will first formulate a framework which describes the constituents of the field-theoretic TUR, namely current, entropy production and diffusivity. This general setting is then applied to the (1+1)-dimensional Kardar-Parisi-Zhang (KPZ) equation, a paradigmatic example of a non-linear field-theoretic Langevin equation. In particular, I will treat the dimensionless KPZ-equation with an effective coupling parameter, λeff, measuring the strength of the non-linearity. It will be shown that the field-theoretic TUR holds both in the weak and strong coupling regimes and that its value depends on λeff [2]. For λeff↓0, the TUR product is equal to 5, whereas for λeff≫1 it grows linearly with λeff. There is no value for λeff with the TUR product being saturated. Furthermore, I will present numerical simulations of the TUR constituents and the TUR product itself. These simulations display good agreement with the theoretical results for both the weak and strong coupling regime.
[1] Niggemann, O. and Seifert, U. J Stat Phys 178, 1142–1174 (2020). https://doi.org/10.1007/s10955-019-02479-x
[2] Niggemann, O. and Seifert, U. J Stat Phys 182, 25 (2021). https://doi.org/10.1007/s10955-020-02692-z