Aftershock production rate of driven viscoelastic interfaces

Abstract

We study analytically and by numerical simulations the statistics of the aftershocks generated after large avalanches in models of interface depinning that include viscoelastic relaxation effects. We find in all the analyzed cases that the decay law of aftershocks with time can be understood by considering the typical roughness of the interface and its evolution due to relaxation. In models where there is a single viscoelastic relaxation time there is an exponential decay of the number of aftershocks with time. In models in which viscoelastic relaxation is wave-vector dependent we typically find a power law dependence of the decay rate, compatible with the Omori law. The factors that determine the value of the decay exponent are analyzed.

References in corpus (1)

• Exactly solvable model of avalanches dynamics for Barkhausen crackling noise

Cited by in corpus (4)

• The influence of the brittle-ductile transition zone on aftershock and foreshock occurrence
• Are Triggering Rates of Labquakes Universal? Inferring Triggering Rates From Incomplete Information
• Aftershocks and Omori's law in a modified Carlson-Langer model with nonlinear visco-elasticity
• Analytical Methods and Field Theory for Disordered Systems