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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 3.2: Talk

Monday, March 22, 2021, 09:20–09:40, DYb

Thermodynamic Uncertainty Relation for Time-Dependent Driving — •Timur Koyuk and Udo Seifert — II. Institut für Theoretische Physik, Universität Stuttgart, 70550 Stuttgart, Germany

Thermodynamic uncertainty relations yield a lower bound on entropy production in terms of the mean and fluctuations of a current. In this talk we will present the general form of the thermodynamic uncertainty relation for systems under arbitrary time-dependent driving from arbitrary initial states [1]. This approach unifies earlier derived relations valid for discrete Markovian systems or continuous overdamped Langevin systems. One powerful application of the TUR is to infer entropy production by observing an arbitrary current and its fluctuations without knowing the details of the interactions or underlying topology of the network. In this context we will extend the TUR beyond currents to state variables, which allows one to estimate entropy production by only observing, e.g., a binary observable. We will illustrate the quality of the bounds for various types of observables for the dynamical unfolding of a small protein, which is based on extant experimental data. As another important application of the TUR we will show how to bound the efficiency of cyclic heat engines by using the TUR for periodically driven systems [2]. This bound on the efficiency involves the output power, its fluctuations as well as its response with respect to the driving frequency. It thus imposes fundamental constraints on every cyclic stochastic heat engine for reaching Carnot efficiency.
 [1] T. Koyuk and U. Seifert, Phys. Rev. Lett. 125, 260604 (2020).
 [2] T. Koyuk and U. Seifert, Phys. Rev. Lett. 122, 230601 (2019).