论文标题
评论“在没有可观察到的电流的情况下推断出破裂的详细平衡”
Comment on "Inferring broken detailed balance in the absence of observable currents"
论文作者
论文摘要
在此答复中，我们解决了“在没有可观察到的电流的情况下推断出破裂的详细平衡的评论”中所产生的明显差异。我们强调的是，与我们原始工作中所述的拆卸过程相比，非传闻性过渡路径源于非本地拆卸过程的选择，该过程随时间逆转而通勤。因此，使用这种非本地分解程序的示例确实引起了虚假的时间 - 不可逆性，并不能使我们的主要结果无效，这是严格地得出和数学上证实的。我们希望此答复突出显示了消除时间序列数据的不同选择的微妙之处，这对于正确理解小型系统的热力学是关键的。
In this reply, we resolve the apparent discrepancy raised in the "Comment on Inferring broken detailed balance in the absence of observable currents" [arXiv:2112.08978v1]. We stress that the non-instantaneous transition paths originate from the choice of a decimation process non-local in time, in contrast to the decimation process described in our original work, which commutes with time-reversal. Therefore, the example using such a non-local decimation procedure, which indeed gives rise to spurious time-irreversibility, does not invalidate our main result, which was rigorously derived and proven mathematically. We hope this reply highlights the subtlety of the different choices for decimating time series data which is pivotal for a correct understanding of the thermodynamics of small systems.
