Berlin 2018 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 71: Poster: Noneq. Stat. Phys., Stoch. Thermo, Brownian Dyn.

DY 71.2: Poster

Thursday, March 15, 2018, 15:30–18:00, Poster A

Effect of hidden slow degrees of freedom on fluctuation theorems: An analytically solvable model — •Marcel Kahlen and Jannik Ehrich — Institut für Physik, Carl von Ossietzky Universität, 26111 Oldenburg, Germany

Systems with hidden degrees of freedom are a common occurrence within the field of stochastic thermodynamics. Because the full dynamics are not accessible in these setups, the total entropy production cannot be measured. Nevertheless, coarse-graining allows one to define an apparent entropy production. Usually this quantity does not fulfill fluctuation theorems of the usual type [1].

We present a simple model for which we can analytically calculate the fluctuation theorems involving the apparent entropy production. For this model we discuss the role of the strength of the coupling between the hidden and observed degrees of freedom and the limit of time-scale separation between them. Our model also serves as a case study on thermodynamic inference.

[1] J. Mehl, B. Lander, C. Bechinger, V. Blickle, and U. Seifert, Phys. Rev. Lett. 108, 220601 (2012)