Physics – Data Analysis – Statistics and Probability
Scientific paper
1997-10-20
Physica D 120:401-417 (1998)
Physics
Data Analysis, Statistics and Probability
23 pages, 8 figures, Latex with elsart.cls, revised version accepted for publication in Physica D
Scientific paper
10.1016/S0167-2789(98)00092-X
The decay pattern of aftershocks in the so-called 'coherent-noise' models [M. E. J. Newman and K. Sneppen, Phys. Rev. E54, 6226 (1996)] is studied in detail. Analytical and numerical results show that the probability to find a large event at time $t$ after an initial major event decreases as $t^{-\tau}$ for small $t$, with the exponent $\tau$ ranging from 0 to values well above 1. This is in contrast to Sneppen und Newman, who stated that the exponent is about 1, independent of the microscopic details of the simulation. Numerical simulations of an extended model [C. Wilke, T. Martinetz, Phys. Rev. E56, 7128 (1997)] show that the power-law is only a generic feature of the original dynamics and does not necessarily appear in a more general context. Finally, the implications of the results to the modeling of earthquakes are discussed.
Altmeyer S.
Martinetz Thomas
Wilke Claus
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