Department of Physics, The University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-0031, Japan.
JST, PRESTO, 4-1-8 Honcho, Kawaguchi, Saitama 332-0012, Japan.
Phys Rev Lett. 2021 Oct 15;127(16):160601. doi: 10.1103/PhysRevLett.127.160601.
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.
我们推广了确定性化学反应网络（CRN）的热力学不确定关系（TUR）和热力学速度限制（TSL）。通过考虑宏观和介观 CRN 之间的联系得出的标度扩散系数在我们的结果中起着重要作用。TUR 表明，熵产生率与标度扩散系数与浓度变化率平方的比值的乘积下界由两个限制。TSL 表明速度与热力学量、熵产生和时间平均标度扩散系数之间的权衡关系。该结果在开放和非理想 CRN 的一般设置下得到证明。
