Thermodynamic Uncertainty Relations Under Arbitrary Control Protocols
Thermodynamic Uncertainty Relations Under Arbitrary Control Protocols
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任意控制协议下的热力学不确定性关系
DOI：
10.1103/physrevresearch.2.013060
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发表时间：
2020
影响因子：
4.2
通讯作者：
Yoshihiko Hasegawa
中科院分区：
文献类型：
--
作者：
Tan Van Vu;Yoshihiko Hasegawa
在各种随机系统中已经发现了量化电流波动和熵产生之间权衡的热力学不确定性关系。在此，我们研究由外部控制协议驱动的 Langevin 系统的热力学不确定性关系。使用信息论技术，我们推导了在过阻尼和欠阻尼状态下满足缩放条件的任意可观测量的不确定性关系。我们证明可观察到的波动受到熵产生和动力学项的约束。导出的界限适用于当前和非当前可观察量，并且适用于任意时间相关协议，从而提供了广泛的适用性。我们借助三个系统来说明我们的普遍界限：拖动的布朗粒子、布朗回转器和随机欠阻尼热机。
Thermodynamic uncertainty relations quantifying a trade-off between current fluctuation and entropy production have been found in various stochastic systems. Herein, we study the thermodynamic uncertainty relations for Langevin systems driven by an external control protocol. Using information-theoretic techniques, we derive the uncertainty relations for arbitrary observables satisfying a scaling condition in both overdamped and underdamped regimes. We prove that the observable fluctuation is constrained by both entropy production and a kinetic term. The derived bounds are applicable to both current and noncurrent observables, and hold for arbitrary time-dependent protocols, thus providing a wide range of applicability. We illustrate our universal bounds with the help of three systems: a dragged Brownian particle, a Brownian gyrator, and a stochastic underdamped heat engine.