论文标题

定期驱动的两国系统的完整计数统计和波动散落关系

Full counting statistics and fluctuation-dissipation relation for periodically driven two-state systems

论文作者

Takahashi, Kazutaka, Hino, Yuki, Fujii, Keisuke, Hayakawa, Hisao

论文摘要

我们为随机驱动的系统得出了波动定理,并借助主方程来耦合到两个储层。我们在封闭的紧凑型形式中写下当前和熵产生的累积生成功能,以系统地处理绝热和非绝热贡献。我们通过考虑时间逆转对称性以及流入左侧的瞬时电流和右储层不相等的属性来得出波动定理。发现从波动定理得出的波动散动关系涉及相对于亲和力的时间导数的扩展。

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.

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