Thermodynamic uncertainty relation and thermodynamic speed limit in deterministic chemical reaction networks

TL;DR

This paper extends thermodynamic uncertainty relations and speed limits to deterministic chemical reaction networks, linking entropy production, reaction rates, and diffusion in a general open CRN framework.

Contribution

It introduces a generalized TUR and TSL for deterministic CRNs, incorporating macroscopic-mesoscopic connections and broad applicability.

Findings

TUR bounds relate entropy production and concentration change rates.

TSL establishes a speed-thermodynamics trade-off.

Results apply to open, non-ideal CRNs.

Abstract

We generalize 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 macroscopic CRNs 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 2. 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 non-ideal CRNs.