TY - JOUR

T1 - Record dynamics of evolving metastable systems

T2 - theory and applications

AU - Sibani, Paolo

AU - Boettcher, Stefan

AU - Jensen, Henrik Jeldtoft

PY - 2021/1

Y1 - 2021/1

N2 - 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.

AB - 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.

KW - cond-mat.stat-mech

KW - physics.bio-ph

KW - q-bio.PE

U2 - 10.1140/epjb/s10051-020-00039-x

DO - 10.1140/epjb/s10051-020-00039-x

M3 - Journal article

VL - 94

JO - European Physical Journal B. Condensed Matter and Complex Systems

JF - European Physical Journal B. Condensed Matter and Complex Systems

SN - 1434-6028

IS - 1

M1 - 37

ER -