Cargando…
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...
Autores principales: | , , , , , |
---|---|
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 |
_version_ | 1782301382463717376 |
---|---|
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. |
format | Online Article Text |
id | pubmed-3905775 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2013 |
publisher | Nature Pub. Group |
record_format | MEDLINE/PubMed |
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 |
work_keys_str_mv | AT laursonlasse evolutionoftheaverageavalancheshapewiththeuniversalityclass AT illaxavier evolutionoftheaverageavalancheshapewiththeuniversalityclass AT santuccistephane evolutionoftheaverageavalancheshapewiththeuniversalityclass AT toretallakstadken evolutionoftheaverageavalancheshapewiththeuniversalityclass AT maløyknutjørgen evolutionoftheaverageavalancheshapewiththeuniversalityclass AT alavamikkoj evolutionoftheaverageavalancheshapewiththeuniversalityclass |