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Evolution of the average avalanche shape with the universality class

Author

Listed:
  • 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)

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.

Suggested Citation

  • Lasse Laurson & Xavier Illa & Stéphane Santucci & Ken Tore Tallakstad & Knut Jørgen Måløy & Mikko J Alava, 2013. "Evolution of the average avalanche shape with the universality class," Nature Communications, Nature, vol. 4(1), pages 1-6, December.
    • Handle: RePEc:nat:natcom:v:4:y:2013:i:1:d:10.1038_ncomms3927
    DOI: 10.1038/ncomms3927
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    Cited by:

    1. Spasojević, Djordje & Janićević, Sanja, 2022. "Two-dimensional ferromagnetic systems with finite driving," Chaos, Solitons & Fractals, Elsevier, vol. 158(C).
    2. Janićević, Sanja & Mijatović, Svetislav & Spasojević, Djordje, 2023. "Finite driving rate effects in the nonequilibrium athermal random field Ising model of thin systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 614(C).
    3. Nkomom, Théodule Nkoa & Ndzana, Fabien II & Okaly, Joseph Brizar & Mvogo, Alain, 2021. "Dynamics of nonlinear waves in a Burridge and Knopoff model for earthquake with long-range interactions, velocity-dependent and hydrodynamics friction forces," Chaos, Solitons & Fractals, Elsevier, vol. 150(C).

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