Finite-time thermodynamic uncertainty relation do not hold for discrete-time Markov process
arXiv:1706.00892
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.
arXiv comment3 pages
References in corpus (5)
- Thermodynamic uncertainty relation for biomolecular processes
- Finite-time generalization of the thermodynamic uncertainty relation
- Generic Properties of Stochastic Entropy Production
- Frenetic bounds on the entropy production
- Physical insight into the thermodynamic uncertainty relation using Brownian motion in tilted periodic potentials
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