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DY: Fachverband Dynamik und Statistische Physik

DY 43: Stochastic thermodynamics and information processing

DY 43.3: Talk

Wednesday, March 14, 2018, 10:30–10:45, BH-N 243

Fluctuation theorems for detached path probabilities — •Jannik Ehrich and Andreas Engel — Institut für Physik, Carl von Ossietzky Universität, 26111 Oldenburg, Germany

Systems with interacting degrees of freedom play a prominent role in stochastic thermodynamics. We apply the concept of causal conditioning to define a detached entropy production for a general bipartite Markov process. This quantity simplifies the dissection of the mutual influence the interacting degrees of freedom have on each other [1]. We elaborate on a series of special cases including measurement-feedback systems, sensors and hidden Markov models. For these special cases we show that fluctuation theorems involving the detached entropy production recover known results which have been obtained separately before. Additionally, we show that the fluctuation relation for the detached entropy production can be used in model selection for data stemming from a hidden Markov model.

[1] J. Ehrich and A. Engel, Phys. Rev. E 96, 042129 (2017)