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.

中文翻译：

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确定性化学反应网络中的热力学不确定关系和热力学速度极限

我们概括了确定性化学反应网络 (CRN) 的热力学不确定关系 (TUR) 和热力学速度极限 (TSL)。通过考虑宏观和介观 CRN 之间的联系得出的缩放扩散系数在我们的结果中起着至关重要的作用。TUR 表明，熵产生率和比例扩散系数与浓度变化率平方之比的乘积小于二。TSL 陈述了速度和热力学量、熵产生和时间平均缩放扩散系数之间的权衡关系。结果在开放和非理想CRNs的一般设置下得到证明。