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.
Highlights
Introduction.—It has been a fundamental question whether there are universal laws in nonequilibrium systems or processes like equilibrium thermodynamics
The scaled diffusion coefficient derived by considering the connection between macro- and mesoscopic chemical reaction networks (CRNs) plays an essential role in our results
A thermodynamic speed limit (TSL) gives a lower bound to the time it takes for a system to change using thermodynamic quantities such as the entropy production
Summary
Introduction.—It has been a fundamental question whether there are universal laws in nonequilibrium systems or processes like equilibrium thermodynamics. We generalize the thermodynamic uncertainty relation (TUR) and thermodynamic speed limit (TSL) for deterministic chemical reaction networks (CRNs). 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.
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