Experimental investigation of the effect of thresholding on temporal statistics of avalanches

M. A. Lebyodkin, I. V. Shashkov, T. A. Lebedkina, and V. S. Gornakov
Phys. Rev. E 95, 032910 – Published 31 March 2017

Abstract

Avalanchelike behavior reflected in power-law statistics is a ubiquitous property of extended systems addressed in a number of generic models. The paper presents an experimental investigation of the effect of thresholding on the statistics of durations and waiting times between avalanches using acoustic emission accompanying unstable plastic deformation. It is found that durations of acoustic events obey power-law statistical distributions robust against thresholding. The quiescent time distributions follow the Poisson law for low threshold values. Both these results corroborate the hypothesis that plastic deformation is akin to the phenomena associated with self-organized criticality (SOC), often advanced on the basis of power-law amplitude statistics. Increasing the threshold height enforces deviation from the Poisson distributions toward apparent power-law behavior. Such a thresholding effect may hinder the experimental determination of SOC-like dynamics because of the inevitable noise.

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  • Received 30 April 2016
  • Revised 7 March 2017

DOI:https://doi.org/10.1103/PhysRevE.95.032910

©2017 American Physical Society

Physics Subject Headings (PhySH)

Statistical Physics & ThermodynamicsFluid Dynamics

Authors & Affiliations

M. A. Lebyodkin1,*, I. V. Shashkov2, T. A. Lebedkina1, and V. S. Gornakov2

  • 1Laboratoire d’Etude des Microstructures et de Mécanique des Matériaux, UMR 7239, CNRS/Université de Lorraine, Ile du Saulcy, 57045 Metz, France
  • 2Institute of Solid State Physics RAS, 142432 Chernogolovka, Russia

  • *Corresponding author: mikhail.lebedkin@univ-lorraine.fr

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Issue

Vol. 95, Iss. 3 — March 2017

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