Current fluctuations in periodically driven systems
Current fluctuations in periodically driven systems
复制标题
周期性驱动系统中的电流波动
DOI：
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发表时间：
2018
期刊：
影响因子：
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通讯作者：
R. Chetrite
中科院分区：
文献类型：
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作者：
A. C. Barato;R. Chetrite
由外部周期协议驱动的小的非平衡系统可以用具有时间周期转移率的马尔可夫过程来描述。总体而言，这种小系统目前的波动很大，可能起到至关重要的作用。我们发展了一种理论形式来评估周期驱动系统中如此大的偏差的比率。我们证明了刻画电流起伏的标度累积量母函数是由一个最大弗洛奎指数给出的。通过比较确定性协议和随机协议，证明了对于较大的偏差，跳跃次数无限多的随机协议驱动的系统与确定性协议驱动的系统是等价的。我们的结果用三个案例来说明：热机的两态模型，分子泵的三态模型，以及具有时间周期亲和力的有偏随机游动。
Small nonequelibrium systems driven by an external periodic protocol can be described by Markov processes with time-periodic transition rates. In general, current fluctuations in such small systems are large and may play a crucial role. We develop a theoretical formalism to evaluate the rate of such large deviations in periodically driven systems. We show that the scaled cumulant generating function that characterizes current fluctuations is given by a maximal Floquet exponent. Comparing deterministic protocols with stochastic protocols, we show that, with respect to large deviations, systems driven by a stochastic protocol with an infinitely large number of jumps are equivalent to systems driven by deterministic protocols. Our results are illustrated with three case studies: a two-state model for a heat engine, a three-state model for a molecular pump, and a biased random walk with a time-periodic affinity.
宽变光纤连续谱产生中的静态三次谐波线。
DOI：
10.1103/physreva.89.013813
发表时间：
2014
期刊：
Physical review. A, Atomic, molecular, and optical physics
影响因子：
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作者：
Tu,Haohua;Zhao,Youbo;Liu,Yuan;Boppart,StephenA
通讯作者：
Boppart,StephenA