On interevent time distributions of avalanche dynamics

Pinaki Kumar, Evangelos Korkolis, Roberto Benzi, Dmitry Denisov, André Niemeijer, Peter Schall, Federico Toschi (Corresponding author), Jeannot Trampert

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Abstract

Physical systems characterized by stick-slip dynamics often display avalanches. Regardless of the diversity of their microscopic structure, these systems are governed by a power-law distribution of avalanche size and duration. Here we focus on the interevent times between avalanches and show that, unlike their distributions of size and duration, the interevent time distributions are able to distinguish different mechanical states of the system. We use experiments on granular systems and numerical simulations of emulsions to show that systems having the same probability distribution for avalanche size and duration can have different interevent time distributions. Remarkably, these interevent time distributions look similar to those for earthquakes and, if different from an exponential, are indirect evidence of non trivial space-time correlations among avalanches. Our results therefore indicate that interevent time statistics are essential to characterise the dynamics of avalanches.

Original languageEnglish
Article number626
Number of pages11
JournalScientific Reports
Volume10
Issue number1
DOIs
Publication statusPublished - 17 Jan 2020

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Kumar, P., Korkolis, E., Benzi, R., Denisov, D., Niemeijer, A., Schall, P., ... Trampert, J. (2020). On interevent time distributions of avalanche dynamics. Scientific Reports, 10(1), [626]. https://doi.org/10.1038/s41598-019-56764-6