title: Evolution of the average avalanche shape with the universality class.
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.
authors.affiliation: COMP Centre of Excellence, Department of Applied Physics, P.O. Box 11100, FI-00076 Aalto, Espoo, Finland.
authors.forename: Lasse
authors.initials: L
authors.lastname: Laurson
authors.affiliation: Facultat de Física, Departament Estructura i Constituents de la Materia, Universitat de Barcelona, Martí i Franquès 1, 08028 Barcelona, Catalonia, Spain.
authors.forename: Xavier
authors.initials: X
authors.lastname: Illa
authors.affiliation: Laboratoire de physique, CNRS UMR 5672, Ecole Normale Supérieure de Lyon, 46 Allée d'Italie, 69364 Lyon Cedex 07, France.
authors.forename: Stéphane
authors.initials: S
authors.lastname: Santucci
authors.affiliation: Department of Physics, University of Oslo, PB 1048 Blindern, NO-0316 Oslo, Norway.
authors.forename: Ken
authors.initials: K
authors.lastname: Tore Tallakstad
authors.affiliation: Department of Physics, University of Oslo, PB 1048 Blindern, NO-0316 Oslo, Norway.
authors.forename: Knut Jørgen
authors.initials: KJ
authors.lastname: Måløy
authors.affiliation: COMP Centre of Excellence, Department of Applied Physics, P.O. Box 11100, FI-00076 Aalto, Espoo, Finland.
authors.forename: Mikko J
authors.initials: MJ
authors.lastname: Alava