Finite-time thermodynamic uncertainty relation do not hold for discrete-time Markov process

2017/06/03 by Naoto Shiraishi, Shiraishi, Naoto · 1 citation
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #FOS: Physical sciences #Quantum Mechanics and Applications #Statistical Mechanics (cond-mat.stat-mech) #Statistical Mechanics and Entropy

paper · pdf · doi:10.48550/arxiv.1706.00892

openalex publication_date 2017/06/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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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