论文标题
摘要的时间分辨统计作为无模型熵估计器的一般框架
Time-resolved statistics of snippets as general framework for model-free entropy estimators
论文作者
论文摘要
不可逆性通常通过熵产生来量化。外部观察者可以通过测量像电流一样在时间反转下是反对对称的可观察到的。我们介绍了一个一般框架,除其他外,我们还可以通过测量与时间反向下的任何对称性,尤其是时间对称的瞬时事件来推断熵产生的下限。我们强调马尔可夫人是某些事件的属性,而不是整个系统的属性,并为此削弱的马尔可夫属性引入了可访问的标准。从概念上讲,该方法基于片段作为轨迹的特定部分,为此讨论了广义的详细平衡关系。
Irreversibility is commonly quantified by entropy production. An external observer can estimate it through measuring an observable that is antisymmetric under time-reversal like a current. We introduce a general framework that, inter alia, allows us to infer a lower bound on entropy production through measuring the time-resolved statistics of events with any symmetry under time-reversal, in particular, time-symmetric instantaneous events. We emphasize Markovianity as a property of certain events rather than of the full system and introduce an operationally accessible criterion for this weakened Markov property. Conceptually, the approach is based on snippets as particular sections of trajectories, for which a generalized detailed balance relation is discussed.