Fluctuation-response relation of time-symmetric quantities around general nonequilibrium stationary state
Fluctuation-response relation of time-symmetric quantities around general nonequilibrium stationary state
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DOI：
10.1088/1742-5468/acbe9a
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发表时间：
2022-11
期刊：
影响因子：
--
通讯作者：
Naoto Shiraishi
中科院分区：
文献类型：
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作者：
Naoto Shiraishi
研究了一般非平衡定态中响应与涨落之间的关系。我们着重讨论了时间对称量，发现一种经验测度的涨落可以用经验测度、电流和时间对称电流的响应来表示。这种关系是证明通过使用虚构的失速分解：我们将一个单一的观察到的过渡（在状态空间中的边缘）之间的两个微观状态分解成两个过渡，这样的过渡之一，在这个静止状态失速。通过这个技巧，失速定态的关系适用于一般的非平衡定态，这导致了所需的关系。
A connection between the response and fluctuation in general nonequilibrium stationary states is investigated. We focus on time-symmetric quantities and find that the fluctuation of a kind of empirical measure can be expressed with the response of the empirical measure, current, and the time-symmetric current. This relation is proven by using the fictitious stalling decomposition: we decompose a single observed transition (edge in the state space) between two microscopic states into two transitions such that one of the transitions stalls in this stationary state. Through this trick, relations for stalling stationary states apply to general nonequilibrium stationary states, which leads to the desired relation.