Stochastic thermodynamics of interacting degrees of freedom: Fluctuation theorems for detached path probabilities

Abstract

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.

10 pages, 7 figures

References in corpus (7)

• The thermodynamics of prediction
• Nonequilibrium Detailed Fluctuation Theorem for Repeated Discrete Feedback
• Thermodynamic costs of information processing in sensory adaption
• Efficiency of cellular information processing
• Maxwell's demon in biochemical signal transduction with feedback loop
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Cited by in corpus (2)

• Energetic cost of feedback control
• Information Arbitrage in Bipartite Heat Engines