论文标题

记录不断发展的亚稳态的动态:理论和应用

Record dynamics of evolving metastable systems: theory and applications

论文作者

Sibani, Paolo, Boettcher, Stefan, Jensen, Henrik Jeldtoft

论文摘要

记录动力学(RD)涉及复杂的系统通过一系列亚稳态演变而来的。这些在宏观上是可区分的,并且看起来是固定的,除了突然和快速变化(称为地震),从一个阶段诱导了从一个阶段到下一个阶段的过渡。这种现象学在物理学中被称为“物理衰老”,但是从RD的角度来看,一类物理,生物学和文化来源系统的演变植根于层次结构化的配置空间,因此可以通过相似的统计工具来分析。这座式纸张努力以一种连贯的方式和思想逐渐演变而来。为此,它首先描述了RD和两个复杂动力学,自组织的批判性和连续时间随机步行之间的差异和相似性。然后,它概述了白噪声时间序列中记录事件的泊松性质,并将其与亚稳态层次结构系统中的地震的统计数据联系起来,认为地震的放松效应通常可以由与关键性无关的权力定律描述。多年来,RD的几种不同应用已开发。其中一些是描述的,显示了基本的RD假设,即疑吸力动力学的对数时间均匀性,可以在给定的情况下进行经验验证。讨论总结了论文,并简要提到未详细讨论的应用程序。最后,前景指出了可能使用RG的新研究领域。

Record Dynamics (RD) deals with complex systems evolving through a sequence of metastable stages. These are macroscopically distinguishable and appear stationary, except for the sudden and rapid changes, called quakes, which induce the transitions from one stage to the next. This phenomenology is well known in physics as "physical aging", but from the vantage point of RD the evolution of a class of systems of physical, biological and cultural origin is rooted in a hierarchically structured configuration space and can therefore be analyzed by similar statistical tools. This colloquium paper strives to present in a coherent fashion methods and ideas that have gradually evolved over time. To this end, it first describes the differences and similarities between RD and two widespread paradigms of complex dynamics, Self Organized Criticality and Continuous Time Random Walks. It then outlines the Poissonian nature of records events in white noise time series, and connects it to the statistics of quakes in metastable hierarchical systems, arguing that the relaxation effects of quakes can generally be described by power laws unrelated to criticality. Several different applications of RD have been developed over the years. Some of these are described, showinghe basic RD hypothesis, the log time homogeneity of quake dynamics, can be empirically verified in a given context. The discussion summarizes the paper and briefly mentions applications not discussed in detail. Finally, the outlook points to possible improvements and to new areas of research where RG could be of use.

扫码加入交流群

加入微信交流群

微信交流群二维码

扫码加入学术交流群,获取更多资源