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Evolution of the average avalanche shape with the universality class

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 typi...

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Autores principales: Laurson, Lasse, Illa, Xavier, Santucci, Stéphane, Tore Tallakstad, Ken, Måløy, Knut Jørgen, Alava, Mikko J
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Pub. Group 2013
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3905775/
https://www.ncbi.nlm.nih.gov/pubmed/24352571
http://dx.doi.org/10.1038/ncomms3927
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author Laurson, Lasse
Illa, Xavier
Santucci, Stéphane
Tore Tallakstad, Ken
Måløy, Knut Jørgen
Alava, Mikko J
author_facet Laurson, Lasse
Illa, Xavier
Santucci, Stéphane
Tore Tallakstad, Ken
Måløy, Knut Jørgen
Alava, Mikko J
author_sort Laurson, Lasse
collection PubMed
description 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.
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spelling pubmed-39057752014-01-29 Evolution of the average avalanche shape with the universality class Laurson, Lasse Illa, Xavier Santucci, Stéphane Tore Tallakstad, Ken Måløy, Knut Jørgen Alava, Mikko J Nat Commun Article 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. Nature Pub. Group 2013-12-19 /pmc/articles/PMC3905775/ /pubmed/24352571 http://dx.doi.org/10.1038/ncomms3927 Text en Copyright © 2013, Nature Publishing Group, a division of Macmillan Publishers Limited. All Rights Reserved. http://creativecommons.org/licenses/by-nc-by/3.0/ This article is licensed under a Creative Commons Attribution 3.0 Unported Licence. To view a copy of this licence visit http://creativecommons.org/licenses/by/3.0/.
spellingShingle Article
Laurson, Lasse
Illa, Xavier
Santucci, Stéphane
Tore Tallakstad, Ken
Måløy, Knut Jørgen
Alava, Mikko J
Evolution of the average avalanche shape with the universality class
title Evolution of the average avalanche shape with the universality class
title_full Evolution of the average avalanche shape with the universality class
title_fullStr Evolution of the average avalanche shape with the universality class
title_full_unstemmed Evolution of the average avalanche shape with the universality class
title_short Evolution of the average avalanche shape with the universality class
title_sort evolution of the average avalanche shape with the universality class
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3905775/
https://www.ncbi.nlm.nih.gov/pubmed/24352571
http://dx.doi.org/10.1038/ncomms3927
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