论文标题

一般非平衡状态周围的时间对称量的波动反应关系

Fluctuation-response relation of time-symmetric quantities around general nonequilibrium stationary state

论文作者

Shiraishi, Naoto

论文摘要

研究了一般非平衡状态中的响应与波动之间的联系。我们专注于时间对称量,发现一种经验度量的波动可以用经验度量,电流和时间对称电流的响应来表示。通过使用虚拟失速分解来证明这种关系:我们分解了两个显微镜状态之间的单个观察到的过渡(状态空间中的边缘)分解为两个过渡,从而使其中一个过渡摊位处于这种固定状态。通过这种技巧,停滞固定状态的关系适用于一般的非平衡固定状态,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.

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