TY - JOUR
T1 - Universal fluctuations and extreme statistics of avalanches near the depinning transition
AU - Leblanc, Michael
AU - Angheluta, Luiza
AU - Dahmen, Karin
AU - Goldenfeld, Nigel
PY - 2013/2/19
Y1 - 2013/2/19
N2 - We derive exact predictions for universal scaling exponents and scaling functions associated with the statistics of maximum velocities vm 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.
AB - We derive exact predictions for universal scaling exponents and scaling functions associated with the statistics of maximum velocities vm 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.
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U2 - 10.1103/PhysRevE.87.022126
DO - 10.1103/PhysRevE.87.022126
M3 - Article
C2 - 23496478
AN - SCOPUS:84874543453
SN - 1539-3755
VL - 87
JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
IS - 2
M1 - 022126
ER -