Dynamical scaling and generalized Omori law

Physics

Scientific paper

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Seismology: Earthquake Interaction, Forecasting, And Prediction (1217, 1242), Seismology: Theory

Scientific paper

The power law decay of the aftershocks rate is observed only after a characteristic time scale c. The dependence of c on the mainshock magnitude M M and on the lower cut-off magnitude M I is well established. By considering ten sequences recorded in the California Catalog we show that the aftershock number distribution becomes independent of both M M and M I if time is rescaled by an appropriate time scale fixed by the difference M M - M I . This result is interpreted within a more general dynamical scaling hypothesis recently formulated, relating time differences to magnitude differences. The above hypothesis gives predictions in good agreement with the recent findings by Peng et al. (2007).

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