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Thermodynamic Uncertainty Relation and Thermodynamic Speed Limit in Deterministic Chemical Reaction Networks

Kohei Yoshimura and Sosuke Ito
Phys. Rev. Lett. 127, 160601 – Published 11 October 2021
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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.

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  • Received 30 April 2021
  • Accepted 9 September 2021

DOI:https://doi.org/10.1103/PhysRevLett.127.160601

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI.

Published by the American Physical Society

Physics Subject Headings (PhySH)

Statistical Physics & Thermodynamics

Authors & Affiliations

Kohei Yoshimura1 and Sosuke Ito1,2

  • 1Department of Physics, The University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-0031, Japan
  • 2JST, PRESTO, 4-1-8 Honcho, Kawaguchi, Saitama 332-0012, Japan

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Issue

Vol. 127, Iss. 16 — 15 October 2021

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