TY - JOUR PY - 2013// TI - Evolution of the average avalanche shape with the universality class JO - Nature communications A1 - Laurson, Lasse A1 - Illa, Xavier A1 - Santucci, Stéphane A1 - Tore Tallakstad, Ken A1 - Måløy, Knut Jørgen A1 - Alava, Mikko J. SP - 2927 EP - 2927 VL - 4 IS - N2 - 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.
Language: en
LA - en SN - 2041-1723 UR - http://dx.doi.org/10.1038/ncomms3927 ID - ref1 ER -