@article{ref1,
title="Evolution of the average avalanche shape with the universality class",
journal="Nature communications",
year="2013",
author="Laurson, Lasse and Illa, Xavier and Santucci, Stéphane and Tore Tallakstad, Ken and Måløy, Knut Jørgen and Alava, Mikko J.",
volume="4",
number="",
pages="2927-2927",
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.<p /> <p>Language: en</p>",
language="en",
issn="2041-1723",
doi="10.1038/ncomms3927",
url="http://dx.doi.org/10.1038/ncomms3927"
}