Improving Thermodynamic Bounds Using Correlations
Improving Thermodynamic Bounds Using Correlations
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DOI：
10.1103/physrevx.11.041061
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发表时间：
2021-12-28
影响因子：
12.5
通讯作者：
Sasa, Shin-ichi
中科院分区：
文献类型：
--
作者：
Dechant, Andreas;Sasa, Shin-ichi
我们讨论了如何使用不同的物理观测量之间的相关性，以改善最近得到的热力学界，特别是波动响应不等式和热力学不确定性关系（TUR）。我们表明，增加测量的可观测量的数量总是会产生一个更紧密的猎犬。如果其中一个观测量是守恒量，其期望在系统的给定扰动下是不变的，那么这个更紧的界限变得特别有用。对于TUR的情况下，我们表明，这适用于任何功能的系统的状态。所得到的相关性TUR考虑了当前和非当前可观测之间的相关性，从而收紧了TUR。我们证明了我们的发现上的模型的F-1-ATP酶分子马达，马尔可夫跳跃模型由两个环和运输通过一个二维通道。我们发现，TUR的相关性是显着更紧密的TUR，可以接近一个平等，甚至远离平衡。
We discuss how to use correlations between different physical observables to improve recently obtained thermodynamics bounds, notably the fluctuation-response inequality and the thermodynamic uncertainty relation (TUR). We show that increasing the number of measured observables will always produce a tighter hound. This tighter bound becomes particularly useful if one of the observables is a conserved quantity, whose expectation is invariant under a given perturbation of the system. For the case of the TUR, we show that this applies to any function of the state of the system. The resulting correlation TUR takes into account the correlations between a current and a noncurrent observable, thereby tightening the TUR. We demonstrate our finding on a model of the F-1-ATPase molecular motor, a Markov jump model consisting of two rings and transport through a two-dimensional channel. We find that the correlation TUR is significantly tighter than the TUR and can be close to an equality even far from equilibrium.