Thermodynamic Uncertainty Relation and Thermodynamic Speed Limit in Deterministic Chemical Reaction Networks
Open Access
- 11 October 2021
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 127 (16), 160601
- https://doi.org/10.1103/physrevlett.127.160601
Abstract
We generalize the thermodynamic uncertainty relation (TUR) and thermodynamic speed limit (TSL) for deterministic chemical reaction networks (CRNs). The scaled diffusion coefficient derived by considering the connection between macro- and mesoscopic CRNs plays an essential role in our results. The TUR shows that the product of the entropy production rate and the ratio of the scaled diffusion coefficient to the square of the rate of concentration change is bounded below by two. The TSL states a trade-off relation between speed and thermodynamic quantities, the entropy production, and the time-averaged scaled diffusion coefficient. The results are proved under the general setting of open and nonideal CRNs.Keywords
Funding Information
- Japan Society for the Promotion of Science (19H05796, 21H01560)
- Japan Science and Technology Agency (JPMJPR18M2)
- University of Tokyo
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