title: Universal fluctuations and extreme statistics of avalanches near the depinning transition.
abstract: We derive exact predictions for universal scaling exponents and scaling functions associated with the statistics of maximum velocities v(m) during avalanches described by the mean-field theory of the interface depinning transition. In particular, we find a robust power-law regime in the statistics of maximum events that can explain the observed distribution of the peak amplitudes in acoustic emission experiments of crystal plasticity. Our results are expected to be broadly applicable to a broad range of systems in the mean-field interface depinning universality class, ranging from magnets to earthquakes.
authors.affiliation: Department of Physics, University of Illinois at Urbana-Champaign, Loomis Laboratory of Physics, 1110 West Green Street, Urbana, Illinois 61801-3080, USA.
authors.forename: Michael
authors.initials: M
authors.lastname: LeBlanc
authors.forename: Luiza
authors.initials: L
authors.lastname: Angheluta
authors.forename: Karin
authors.initials: K
authors.lastname: Dahmen
authors.forename: Nigel
authors.initials: N
authors.lastname: Goldenfeld
mesh_terms: D003198:Computer Simulation; D015233:Models, Statistical; D009038:Motion; D044367:Phase Transition