Berlin 2018 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 43: Stochastic thermodynamics and information processing

DY 43.4: Talk

Wednesday, March 14, 2018, 10:45–11:00, BH-N 243

Fluctuations of Apparent Entropy Production in Networks with Hidden Slow Degrees of Freedom — •Matthias Uhl, Patrick Pietzonka, and Udo Seifert — II. Institut für Theoretische Physik, Universität Stuttgart, 70550 Stuttgart

The fluctuation theorem for entropy production is a remarkable symmetry of the distribution of produced entropy that holds universally in non-equilibrium steady states with Markovian dynamics. However, in systems with slow degrees of freedom that are hidden from the observer, it is not possible to infer the amount of produced entropy exactly. Previous work suggested that a relation similar to the fluctuation theorem may hold at least approximately for such systems if one considers an apparent entropy production. By extending the notion of apparent entropy production to discrete bipartite systems, we investigate which criteria have to be met for such a modified fluctuation theorem to hold in the large deviation limit [1]. We use asymptotic approximations of the large deviation function to show that the probabilities of extreme events of apparent entropy production always obey a modified fluctuation theorem and, moreover, that it is possible to infer otherwise hidden properties.

[1] M. Uhl, P. Pietzonka, U. Seifert, arXiv:1708.09786