Kinetic uncertainty relation on first-passage time for accumulated current
Kinetic uncertainty relation on first-passage time for accumulated current
复制标题
累积电流首次通过时间的动力学不确定性关系
DOI：
10.1103/physreve.103.l050103
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发表时间：
2021
影响因子：
2.4
通讯作者：
Sasa Shin-ichi
中科院分区：
文献类型：
--
作者：
Hiura Ken;Sasa Shin-ichi
动力学不确定性关系（KUR）是时间齐次连续时间马尔可夫链在固定时间间隔内观测精度与平均动力学活动之间的权衡关系。在这封信中，我们从停止时间的信息不等式中推导出时间积分电流的第一次通过时间的KUR。该关系表明，第一次通过时间的精度从上到下由到该时间的平均跳跃数限定。我们将我们的结果应用到简单的系统，并证明了活动约束给出了一个更紧密的约束比热力学不确定性关系在政权远离平衡。
The kinetic uncertainty relation (KUR) is a trade-off relation between the precision of an observable and the mean dynamical activity in a fixed time interval for a time-homogeneous and continuous-time Markov chain. In this Letter, we derive the KUR on the first passage time for the time-integrated current from the information inequality at stopping times. The relation shows that the precision of the first passage time is bounded from above by the mean number of jumps up to that time. We apply our result to simple systems and demonstrate that the activity constraint gives a tighter bound than the thermodynamic uncertainty relation in the regime far from equilibrium.