论文标题
非平衡过程的时间不可逆性和振幅不可逆性措施
Time irreversibility and amplitude irreversibility measures for nonequilibrium processes
论文作者
论文摘要
可以根据对称矢量之间的概率差异来测量以非平衡过程为特征的时间不可逆性。为了简化时间不可逆性的量化，在某些研究中使用了对称置换而不是对称向量。但是，尽管在实际应用中有效，但这种方法在概念上是不正确的。应根据对称向量而非对称排列的排列来测量时间不可逆性，而可以使用对称排列来确定定量振幅不可逆性 - 本文提出的新参数，该参数是通过在宽度弹位差异中计算出的无水平差异。通过理论和实验分析，我们突出了时间不可逆性和振幅不可逆性度量之间的强烈相似性和密切关联。我们的论文阐明了两种基于置换的基于定量非平衡的基于置换的参数之间的联系和差异，并且通过这样做，我们桥接了振幅不可逆性和不可逆性的概念，并扩展了在复杂系统中研究非平衡过程的定量工具的选择。
Time irreversibility, which characterizes nonequilibrium processes, can be measured based on the probabilistic differences between symmetric vectors. To simplify the quantification of time irreversibility, symmetric permutations instead of symmetric vectors have been employed in some studies. However, although effective in practical applications, this approach is conceptually incorrect. Time irreversibility should be measured based on the permutations of symmetric vectors rather than symmetric permutations, whereas symmetric permutations can instead be employed to determine the quantitative amplitude irreversibility -- a novel parameter proposed in this paper for nonequilibrium calculated by means of the probabilistic difference in amplitude fluctuations. Through theoretical and experimental analyses, we highlight the strong similarities and close associations between the time irreversibility and amplitude irreversibility measures. Our paper clarifies the connections of and the differences between the two types of permutation-based parameters for quantitative nonequilibrium, and by doing so, we bridge the concepts of amplitude irreversibility and time irreversibility and broaden the selection of quantitative tools for studying nonequilibrium processes in complex systems.
