Viscoelastic Effects in Avalanche Dynamics: A Key to Earthquake Statistics

Abstract

In many complex systems a continuous input of energy over time can be suddenly relaxed in the form of avalanches. Conventional avalanche models disregard the possibility of internal dynamical effects in the inter-avalanche periods, and thus miss basic features observed in some real systems. We address this issue by studying a model with viscoelastic relaxation, showing how coherent oscillations of the stress field can emerge spontaneously. Remarkably, these oscillations generate avalanche patterns that are similar to those observed in seismic phenomena.

5 pages, 4 figures, plus Supplemental Material. Published 30 April 2014

References in corpus (4)

• Statistical Models of Fracture
• Crackling dynamics in material failure as the signature of a self-organized dynamic phase transition
• Width distribution of contact lines on a disordered substrate
• Depinning in a two-layer model of plastic flow

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