Inverse Power Law Scaling of Energy Dissipation Rate in Nonequilibrium Reaction Networks

Qiwei Yu, Dongliang Zhang, and Yuhai Tu
Phys. Rev. Lett. 126, 080601 – Published 23 February 2021
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Abstract

The energy dissipation rate in a nonequilibrium reaction system can be determined by the reaction rates in the underlying reaction network. By developing a coarse-graining process in state space and a corresponding renormalization procedure for reaction rates, we find that energy dissipation rate has an inverse power-law dependence on the number of microscopic states in a coarse-grained state. The dissipation scaling law requires self-similarity of the underlying network, and the scaling exponent depends on the network structure and the probability flux correlation. Existence of the inverse dissipation scaling law is shown in realistic biochemical systems such as biochemical oscillators and microtubule-kinesin active flow systems.

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  • Received 13 July 2020
  • Accepted 11 January 2021

DOI:https://doi.org/10.1103/PhysRevLett.126.080601

© 2021 American Physical Society

Physics Subject Headings (PhySH)

Statistical Physics & ThermodynamicsPhysics of Living SystemsNetworks

Authors & Affiliations

Qiwei Yu1, Dongliang Zhang1, and Yuhai Tu2

  • 1School of Physics, Peking University, Beijing 100871, China
  • 2IBM T. J. Watson Research Center, Yorktown Heights, New York 10598, USA

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Issue

Vol. 126, Iss. 8 — 26 February 2021

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