Persistence and Quiescence of Seismicity on Fault Systems
arXiv:cond-mat/9904335 · doi:10.1103/PhysRevLett.83.4219
Abstract
We study the statistics of simulated earthquakes in a quasistatic model of two parallel heterogeneous faults within a slowly driven elastic tectonic plate. The probability that one fault remains dormant while the other is active for a time Dt following the previous activity shift is proportional to the inverse of Dt to the power 1+x, a result that is robust in the presence of annealed noise and strength weakening. A mean field theory accounts for the observed dependence of the persistence exponent x as a function of heterogeneity and distance between faults. These results continue to hold if the number of competing faults is increased. This is related to the persistence phenomenon discovered in a large variety of systems, which specifies how long a relaxing dynamical system remains in a neighborhood of its initial configuration. Our persistence exponent is found to vary as a function of heterogeneity and distance between faults, thus defining a novel universality class.
4 pages, 3 figures, Revtex
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Cited by in corpus (8)
- Theory of Earthquake Recurrence Times
- Evolution in complex systems
- Persistence in Complex Systems
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- From Brittle to Ductile Fracture in Disordered Materials
- Persistence of a Continuous Stochastic Process with Discrete-Time Sampling
- Persistence in a Stationary Time-series
- Statistical Physics Approaches to Seismicity