Dissipative timescales from coarse-graining irreversibility
Dissipative timescales from coarse-graining irreversibility
复制标题
粗粒度不可逆性的耗散时间尺度
DOI：
10.1088/1742-5468/acdce6
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发表时间：
2023
期刊：
影响因子：
--
通讯作者：
Horowitz, Jordan M
中科院分区：
文献类型：
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作者：
Cisneros, Freddy A;Fakhri, Nikta;Horowitz, Jordan M
我们提出并研究了一种识别离散状态马尔可夫跳跃过程的非平衡稳态耗散时间尺度的方法。该方法是基于时间粗粒化下不可逆性如何变化的，不可逆性是通过时间反转对称性的统计破缺来衡量的。我们观察到作为粗粒化时间的函数的不可逆性的S形形状，对于具有快速驱动跃迁的系统，我们推导出其函数形式。这一理论预测使我们能够开发一种方法，通过将不可逆性的估计与我们预测的泛函形式进行拟合，从时间序列数据中估计耗散时间尺度。我们进一步分析了这一估计的准确性和统计波动。
We propose and investigate a method for identifying timescales of dissipation in nonequilibrium steady states modeled as discrete-state Markov jump processes. The method is based on how the irreversibility—measured by the statistical breaking of time-reversal symmetry—varies under temporal coarse-graining. We observe a sigmoidal-like shape of the irreversibility as a function of the coarse-graining time whose functional form we derive for systems with a fast driven transition. This theoretical prediction allows us to develop a method for estimating the dissipative time scale from time-series data by fitting estimates of the irreversibility to our predicted functional form. We further analyze the accuracy and statistical fluctuations of this estimate.