Below a data-detectable sampling threshold, the full generator of a stroboscopically observed Markov network can be reconstructed exactly; above it, candidate-generator enumeration gives tight bounds on entropy production and affinities.
Finite-time thermodynamic uncertainty relation do not hold for discrete-time Markov process
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Discrete-time counterpart of thermodynamic uncertainty relation (conjectured in P. Pietzonka, et.al., arXiv:1702.07699 (2017)) with finite time interval is considered. We show that this relation do not hold by constructing a concrete counterexample to this. Our finding suggests that the proof of thermodynamic uncertainty relation with finite time interval, if true, should strongly rely on the fact that the time is continuous.
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Stroboscopic measurements in Markov networks: Exact generator reconstruction vs. thermodynamic inference
Below a data-detectable sampling threshold, the full generator of a stroboscopically observed Markov network can be reconstructed exactly; above it, candidate-generator enumeration gives tight bounds on entropy production and affinities.