论文标题
热力学 - 运动不确定性关系：属性和信息理论解释
Thermodynamic-kinetic uncertainty relation: properties and an information-theoretic interpretation
论文作者
论文摘要
表征非平衡系统波动的普遍关系至关重要。热力学和动力学不确定性关系分别仅通过总熵产生和动态活性而对电流的精度施加上限。最近，已经得出了通过总熵产生和动态活性施加电流精度的更严格的结合（称为TKUR）。在本文中，我们表明TKUR给出了一类不平等的最紧密界限，这些不平等是通过熵产生的任意功能，动力学活动和时间间隔对电流的上限施加了上限的。此外，我们表明可以将TKUR重写为两个Kullback-Leibler Diverences之间的不平等。一个来自熵产生与动态活动的比率，另一个来自两个概率分布之间定义的两个元素集合之间的kullback-leibler差异，这些概率分布的特征在于时间整合电流与动态活动的精度比率。
Universal relations that characterize the fluctuations of nonequilibrium systems are of fundamental importance. The thermodynamic and kinetic uncertainty relations impose upper bounds on the precision of currents solely by total entropy production and dynamical activity, respectively. Recently, a tighter bound that imposes on the precision of currents by both total entropy production and dynamical activity has been derived (referred to as the TKUR). In this paper, we show that the TKUR gives the tightest bound of a class of inequalities that imposes an upper bound on the precision of currents by arbitrary functions of the entropy production, dynamical activity, and time interval. Furthermore, we show that the TKUR can be rewritten as an inequality between two Kullback-Leibler divergences. One comes from the ratio of entropy production to dynamical activity, the other comes from the Kullback-Leibler divergence between two probability distributions defined on two-element set, which are characterized by the ratio of precision of the time-integrated current to dynamical activity.
