Ehrich, Jannik and Andreas, Engel (2017) Stochastic thermodynamics of interacting degrees of freedom: fluctuation theorems for detached path probabilities. Physical review / E, 96 (4). ISSN 2470-0053

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Systems with interacting degrees of freedom play a prominent role in stochastic thermodynamics. Our aim is to use the concept of detached path probabilities and detached entropy production for bipartite Markov processes and 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. We discuss the relation to previous approaches including those which use information flow or learning rate to quantify the influence of one subsystem on the other. In conclusion, we present a complete framework with which to find fluctuation relations for coupled systems.

Item Type: Article
Subjects: Science and mathematics > Physics
Divisions: Faculty of Mathematics and Science > Institute of Physics (IfP)
Date Deposited: 31 Jan 2018 11:42
Last Modified: 31 Jan 2018 11:42
URN: urn:nbn:de:gbv:715-oops-35337
DOI: 10.1103/PhysRevE.96.042129

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