Aging in coherent noise models and natural time

TL;DR

This paper demonstrates that the coherent noise model, analyzed using natural time, reproduces seismic aging phenomena and reveals a power-law decay in event correlation linked to nonextensive statistical mechanics.

Contribution

It introduces the use of natural time to analyze event correlations in the coherent noise model, connecting seismic aging phenomena with nonextensive statistical mechanics.

Findings

Reproduces aging phenomena observed in seismic data.

Identifies the scaling function as a q-exponential.

Shows power-law decay of event correlation in natural time.

Abstract

Event correlation between aftershocks in the coherent noise model is studied by making use of natural time, which has recently been introduced in complex time-series analysis. It is found that the aging phenomenon and the associated scaling property discovered in the observed seismic data are well reproduced by the model. It is also found that the scaling function is given by the $q$-exponential function appearing in nonextensive statistical mechanics, showing power-law decay of event correlation in natural time.