Finite-time thermodynamic uncertainty relation do not hold for discrete-time Markov process
Statistical Mechanics
2017-06-06 v1
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.
Cite
@article{arxiv.1706.00892,
title = {Finite-time thermodynamic uncertainty relation do not hold for discrete-time Markov process},
author = {Naoto Shiraishi},
journal= {arXiv preprint arXiv:1706.00892},
year = {2017}
}
Comments
3 pages