Fluctuations of observables as functions of time, or "fluctuation patterns",are studied in a chaotic microscopically reversible system that hasirreversibly reached a nonequilibrium stationary state. Supposing that during acertain, long enough, time interval the average entropy creation rate has avalue $s$ and that during another time interval of the same length it has value$-s$ then we show that the relative probabilities of fluctuation patterns inthe first time interval are the same as those of the reversed patterns in thesecond time interval. The system is ``conditionally reversible'' orirreversibility in a reversible system is "driven" by the entropy creation:while a very rare fluctuation happens to change the sign of the entropycreation rate it also happens that the time reversed fluctuations of all otherobservables acquire the same relative probability of the correspondingfluctuations in presence of normal entropy creation. A mathematical proof issketched.
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机译:在时间不可逆地达到非平衡稳态的混沌微观可逆系统中,研究了可观察物随时间的波动或“波动模式”。假设在确定的足够长的时间间隔内,平均熵产生速率的值为$ s $,而在相同长度的另一个时间间隔内,熵的生成值为$ -s $,那么我们将展示出第一时间波动模式的相对概率间隔与第二时间间隔中反转模式的间隔相同。该系统是``有条件可逆的''或不可逆系统中的不可逆性是由熵的产生``驱动''的:尽管非常罕见的波动恰好改变了熵增率的符号,但同时也发生了所有其他可观察到的时间逆向波动都获得了熵。在存在正常熵的情况下,相应波动的相对概率相同。提出了数学证明。
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