On criticality of interface depinning and origin of "bump" in the avalanche distribution

Abstract

The depinning transition critical point is manifested as power-law distributed avalanches exhibited by slowly driven elastic interfaces in quenched random media. Here we show that since avalanches with different starting heights relative to the mean interface height or different initial local interface curvatures experience different excess driving forces due to elasticity, avalanches close to the "global" critical point of non-mean field systems can be separated into populations of subcritical, critical and supercritical ones. The asymmetric interface height distribution results in an excess of supercritical avalanches, manifested as a "bump" in the avalanche size distribution cutoff.

7 pages, 8 figures

References in corpus (5)

• Crackling dynamics in material failure as the signature of a self-organized dynamic phase transition
• Thermal rounding of the depinning transition
• Inter-event correlations from avalanches hiding below the detection threshold
• Inertia and universality of avalanche statistics: The case of slowly deformed amorphous solids
• Asymmetric Roughness of Elastic Interfaces at the Depinning Threshold

Cited by in corpus (4)

• Protocol dependence for avalanches under constant stress in elastoplastic models
• Height distribution of elastic interfaces in quenched random media
• Avalanches in the Random Organization Model with long-range interactions
• Disorder-aided Early Warning Signals: Predicting Catastrophic Shifts in Athermal Systems