Optimal Thermodynamic Uncertainty Relation in Markov Jump Processes
Optimal Thermodynamic Uncertainty Relation in Markov Jump Processes
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DOI：
10.1007/s10955-021-02829-8
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发表时间：
2021-06
影响因子：
1.6
通讯作者：
Naoto Shiraishi
中科院分区：
文献类型：
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作者：
Naoto Shiraishi
从Fisher信息的选择和可能观测量的类别两个方面研究了TUR型不等式的紧性和最优性。我们证明了存在由伪熵产生给出的Fisher信息的最佳选择，并且在某个类中的所有其它TUR-type不等式都可以由这个最紧不等式再现.我们还证明，如果我们观察到的不仅是广义电流，但广义经验措施，TUR-type不等式成为最优的意义上说，它实现了其平等的一般非平衡平稳系统。结合这些结果，我们可以得出TUR-type不等式的一个层次结构。
We investigate the tightness and optimality of thermodynamic-uncertainty-relation (TUR)-type inequalities from two aspects, the choice of the Fisher information and the class of possible observables. We show that there exists the best choice of the Fisher information, given by the pseudo entropy production, and all other TUR-type inequalities in a certain class can be reproduced by this tightest inequality. We also demonstrate that if we observe not only generalized currents but generalized empirical measures, the TUR-type inequality becomes optimal in the sense that it achieves its equality in general nonequilibrium stationary systems. Combining these results, we can draw a hierarchical structure of TUR-type inequalities.