Full Counting Statistics and Fluctuation-Dissipation Relation for Periodically Driven Two-State Systems
Full Counting Statistics and Fluctuation-Dissipation Relation for Periodically Driven Two-State Systems
复制标题
周期性驱动二态系统的全计数统计和波动耗散关系
DOI：
10.1007/s10955-020-02661-6
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发表时间：
2020
影响因子：
1.6
通讯作者：
Hayakawa Hisao
中科院分区：
文献类型：
--
作者：
Takahashi Kazutaka;Hino Yuki;Fujii Keisuke;Hayakawa Hisao
本文利用主方程导出了两个水库耦合的随机周期驱动系统的涨落定理。为了系统地处理绝热贡献和非绝热贡献，我们将电流产生和熵产生的累积生成函数写成闭合紧致形式。考虑了时间反转对称性和左右蓄水池瞬时电流不相等的性质，导出了涨落定理。发现由涨落定理导出的涨落-耗散关系涉及对亲和力的时间导数的展开。
We derive the fluctuation theorem for a stochastic and periodically driven system coupled to two reservoirs with the aid of a master equation. We write down the cumulant generating functions for both the current and entropy production in closed compact forms so as to treat the adiabatic and nonadiabatic contributions systematically. We derive the fluctuation theorem by taking into account the time reversal symmetry and the property that the instantaneous currents flowing into the left and the right reservoir are not equal. It is found that the fluctuation–dissipation relation derived from the fluctuation theorem involves an expansion with respect to the time derivative of the affinity.