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Interevent Correlations from Avalanches Hiding Below the Detection Threshold

Sanja Janićević, Lasse Laurson, Knut Jørgen Måløy, Stéphane Santucci, and Mikko J. Alava
Phys. Rev. Lett. 117, 230601 – Published 1 December 2016
Physics logo See Synopsis: Explaining Aftershock Clustering
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Abstract

Numerous systems ranging from deformation of materials to earthquakes exhibit bursty dynamics, which consist of a sequence of events with a broad event size distribution. Very often these events are observed to be temporally correlated or clustered, evidenced by power-law-distributed waiting times separating two consecutive activity bursts. We show how such interevent correlations arise simply because of a finite detection threshold, created by the limited sensitivity of the measurement apparatus, or used to subtract background activity or noise from the activity signal. Data from crack-propagation experiments and numerical simulations of a nonequilibrium crack-line model demonstrate how thresholding leads to correlated bursts of activity by separating the avalanche events into subavalanches. The resulting temporal subavalanche correlations are well described by our general scaling description of thresholding-induced correlations in crackling noise.

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  • Received 5 July 2016

DOI:https://doi.org/10.1103/PhysRevLett.117.230601

© 2016 American Physical Society

Physics Subject Headings (PhySH)

Statistical Physics & ThermodynamicsCondensed Matter, Materials & Applied PhysicsInterdisciplinary Physics

Synopsis

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Explaining Aftershock Clustering

Published 1 December 2016

A study of bursting phenomena like earthquakes suggests that events appear to cluster in time because of the way that small events like aftershocks are identified.

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Authors & Affiliations

Sanja Janićević1, Lasse Laurson1,2,*, Knut Jørgen Måløy3, Stéphane Santucci3,4, and Mikko J. Alava1

  • 1COMP Centre of Excellence, Department of Applied Physics, Aalto University, P.O. Box 11100, 00076 Aalto, Espoo, Finland
  • 2Helsinki Institute of Physics, Department of Applied Physics, Aalto University, P.O. Box 11100, 00076 Aalto, Espoo, Finland
  • 3Department of Physics, University of Oslo, PB 1048 Blindern, Oslo NO-0316, Norway
  • 4Laboratoire de Physique, CNRS UMR 5672, Ecole Normale Supérieure de Lyon, 46 Allée d’Italie, 69364 Lyon Cedex 07, France

  • *lasse.laurson@aalto.fi

Comments & Replies

Comment on “Interevent Correlations from Avalanches Hiding Below the Detection Threshold”

O. Ramos and M. Stojanova
Phys. Rev. Lett. 119, 188902 (2017)

Janićević et al. Reply:

S. Janićević, L. Laurson, K. J. Måløy, S. Santucci, and M. J. Alava
Phys. Rev. Lett. 119, 188901 (2017)

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Vol. 117, Iss. 23 — 2 December 2016

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