Evolution of the average avalanche shape with the universality class

Lasse Laurson (), Xavier Illa, Stéphane Santucci, Ken Tore Tallakstad, Knut Jørgen Måløy and Mikko J Alava
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Lasse Laurson: COMP Centre of Excellence
Xavier Illa: Facultat de Física, Departament Estructura i Constituents de la Materia, Universitat de Barcelona, Martí i Franquès 1
Stéphane Santucci: Laboratoire de physique, CNRS UMR 5672, Ecole Normale Supérieure de Lyon
Ken Tore Tallakstad: University of Oslo
Knut Jørgen Måløy: University of Oslo
Mikko J Alava: COMP Centre of Excellence

Nature Communications, 2013, vol. 4, issue 1, 1-6

Abstract: Abstract A multitude of systems ranging from the Barkhausen effect in ferromagnetic materials to plastic deformation and earthquakes respond to slow external driving by exhibiting intermittent, scale-free avalanche dynamics or crackling noise. The avalanches are power-law distributed in size, and have a typical average shape: these are the two most important signatures of avalanching systems. Here we show how the average avalanche shape evolves with the universality class of the avalanche dynamics by employing a combination of scaling theory, extensive numerical simulations and data from crack propagation experiments. It follows a simple scaling form parameterized by two numbers, the scaling exponent relating the average avalanche size to its duration and a parameter characterizing the temporal asymmetry of the avalanches. The latter reflects a broken time-reversal symmetry in the avalanche dynamics, emerging from the local nature of the interaction kernel mediating the avalanche dynamics.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:nat:natcom:v:4:y:2013:i:1:d:10.1038_ncomms3927

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DOI: 10.1038/ncomms3927

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