Bounds on current fluctuations in periodically driven systems
Bounds on current fluctuations in periodically driven systems
复制标题
周期性驱动系统中电流波动的界限
DOI：
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发表时间：
2018
影响因子：
3.3
通讯作者：
D. Gabrielli
中科院分区：
文献类型：
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作者：
A. C. Barato;R. Chetrite;A. Faggionato;D. Gabrielli
与热浴接触的小的非平衡系统可以用随机热力学的框架来分析。在这样的系统中，波动，这是不可忽略的，遵循普遍的关系，如波动定理。最近，人们发现，对于非平衡定态，任何热力学流的涨落的全谱都受平均熵产生率和平均流的限制。然而，这个界限并不适用于周期性驱动的系统，例如由温度的周期性变化驱动的热机和由外部协议驱动的人工分子泵。我们得到了一个普遍的约束电流波动的周期驱动系统。这个界是已知的定态界的推广。一般来说，在周期性驱动的系统中，限制波动的平均速率不同于熵产生的速率。我们还得到了一个局部的波动，导致在周期性驱动系统的速度和精度之间的权衡关系，这构成了一个概括的周期性驱动系统的所谓的热力学不确定性关系。从技术的角度来看，我们的研究结果是使用最近开发的理论为2.5大偏差的马尔可夫跳跃过程的时间周期性的过渡率。
Small nonequilibrium systems in contact with a heat bath can be analyzed with the framework of stochastic thermodynamics. In such systems, fluctuations, which are not negligible, follow universal relations such as the fluctuation theorem. More recently, it has been found that, for nonequilibrium stationary states, the full spectrum of fluctuations of any thermodynamic current is bounded by the average rate of entropy production and the average current. However, this bound does not apply to periodically driven systems, such as heat engines driven by periodic variation of the temperature and artificial molecular pumps driven by an external protocol. We obtain a universal bound on current fluctuations for periodically driven systems. This bound is a generalization of the known bound for stationary states. In general, the average rate that bounds fluctuations in periodically driven systems is different from the rate of entropy production. We also obtain a local bound on fluctuations that leads to a trade-off relation between speed and precision in periodically driven systems, which constitutes a generalization to periodically driven systems of the so called thermodynamic uncertainty relation. From a technical perspective, our results are obtained with the use of a recently developed theory for 2.5 large deviations for Markov jump processes with time-periodic transition rates.