Universal local versus unified global scaling laws in the statistics of seismicity

Details Universal local versus unified global scaling laws in the statistics of seismicity Universal local versus unified global scaling laws in the statistics of seismicity

2004-02-23

arxiv.org/abs/cond-mat/0402555v1

Physica A 340, 590 -- 597 (2004)

Physics

Condensed Matter

Other Condensed Matter

submitted to Per Bak's memorial issue of Physica A

Scientific paper

10.1016/j.physa.2004.05.010

The unified scaling law for earthquakes, proposed by Bak, Christensen, Danon and Scanlon, is shown to hold worldwide, as well as for areas as diverse as Japan, New Zealand, Spain or New Madrid. The scaling functions that account for the rescaled recurrence-time probability densities show a power-law behavior for long times, with a universal exponent about (minus) 2.2. Another decreasing power law governs short times, but with an exponent that may change from one area to another. This is in contrast with a spatially independent, time-homogenized version of Bak et al's procedure, which seems to present a universal scaling behavior.

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