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 (11)

• Collective Transport: From Superconductors to Earthquakes
• Dynamics of a ferromagnetic domain wall: avalanches, depinning transition and the Barkhausen effect
• Statistics of Earthquakes in Simple Models of Heterogeneous Faults
• Quasi-periodic events in crystal plasticity and the self-organized avalanche oscillator
• Exactly solvable model of avalanches dynamics for Barkhausen crackling noise
• Relation between stress heterogeneity and aftershock rate in the rate-and-state model
• Height fluctuations of a contact line: a direct measurement of the renormalized disorder correlator
• Viscoelastic Effects in Avalanche Dynamics: A Key to Earthquake Statistics
• The mechanisms of spatial and temporal earthquake clustering
• Realistic spatial and temporal earthquake distributions in a modified Olami-Feder-Christiensen model
• Viscoelastic Depinning of Driven Systems: Mean-Field Plastic Scallops

Cited by in corpus (10)

• The influence of the brittle-ductile transition zone on aftershock and foreshock occurrence
• Scaling laws in earthquake occurrence: Disorder, viscosity, and finite size effects in Olami-Feder-Christensen models
• Quasistatic kinetic avalanches and self-organized criticality in deviatorically loaded granular media
• Universal correlations between shocks in the ground state of elastic interfaces in disordered media
• Viscoelastic Interfaces Driven in Disordered Media and Applications to Friction
• Are Triggering Rates of Labquakes Universal? Inferring Triggering Rates From Incomplete Information
• Correlations between avalanches in the depinning dynamics of elastic interfaces
• Aftershocks and Omori's law in a modified Carlson-Langer model with nonlinear visco-elasticity
• Analytical Methods and Field Theory for Disordered Systems
• Hidden jerk in universal creep and aftershocks