Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2007-01-30
Physics
Condensed Matter
Statistical Mechanics
3 figures to appear on Physical Review Letters
Scientific paper
We propose a branching process based on a dynamical scaling hypothesis relating time and mass. In the context of earthquake occurrence, we show that experimental power laws in size and time distribution naturally originate solely from this scaling hypothesis. We present a numerical protocol able to generate a synthetic catalog with an arbitrary large number of events. The numerical data reproduce the hierarchical organization in time and magnitude of experimental inter-event time distribution.
Arcangelis Lucilla de
Godano Cataldo
Lippiello Eugenio
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