title: Interevent Correlations from Avalanches Hiding Below the Detection Threshold.
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.
authors.affiliation: COMP Centre of Excellence, Department of Applied Physics, Aalto University, P.O. Box 11100, 00076 Aalto, Espoo, Finland.
authors.forename: Sanja
authors.initials: S
authors.lastname: Janićević
authors.affiliation: COMP Centre of Excellence, Department of Applied Physics, Aalto University, P.O. Box 11100, 00076 Aalto, Espoo, Finland.|Helsinki Institute of Physics, Department of Applied Physics, Aalto University, P.O. Box 11100, 00076 Aalto, Espoo, Finland.
authors.forename: Lasse
authors.initials: L
authors.lastname: Laurson
authors.affiliation: Department of Physics, University of Oslo, PB 1048 Blindern, Oslo NO-0316, Norway.
authors.forename: Knut Jørgen
authors.initials: KJ
authors.lastname: Måløy
authors.affiliation: Department of Physics, University of Oslo, PB 1048 Blindern, Oslo NO-0316, Norway.|Laboratoire de Physique, CNRS UMR 5672, Ecole Normale Supérieure de Lyon, 46 Allée d'Italie, 69364 Lyon Cedex 07, France.
authors.forename: Stéphane
authors.initials: S
authors.lastname: Santucci
authors.affiliation: COMP Centre of Excellence, Department of Applied Physics, Aalto University, P.O. Box 11100, 00076 Aalto, Espoo, Finland.
authors.forename: Mikko J
authors.initials: MJ
authors.lastname: Alava