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Physics > Geophysics

arXiv:1006.5396 (physics)
[Submitted on 28 Jun 2010 (v1), last revised 7 Feb 2011 (this version, v2)]

Title:Finite data-size scaling of clustering in earthquake networks

Authors:Sumiyoshi Abe (1,2), Denisse Pasten (3), Norikazu Suzuki (4) ((1) Mie University, Tsu, Japan, (2) ISMANS, Le Mans, France, (3) Universidad de Chile, Santiago, Chile, (4) Nihon University, Funabashi, Japan)
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Abstract:Earthquake network is known to be of the small-world type. The values of the network characteristics, however, depend not only on the cell size (i.e., the scale of coarse graining needed for constructing the network) but also on the size of a seismic data set. Here, discovery of a scaling law for the clustering coefficient in terms of the data size, which is refereed to here as finite data-size scaling, is reported. Its universality is shown to be supported by the detailed analysis of the data taken from California, Japan and Iran. Effects of setting threshold of magnitude are also discussed.
Comments: 29 pages, 5 figures
Subjects: Geophysics (physics.geo-ph); Disordered Systems and Neural Networks (cond-mat.dis-nn)
Cite as: arXiv:1006.5396 [physics.geo-ph]
  (or arXiv:1006.5396v2 [physics.geo-ph] for this version)
  https://doi.org/10.48550/arXiv.1006.5396
Journal reference: Physica A 390, 1343 (2011)
Related DOI: https://doi.org/10.1016/j.physa.2010.11.033

Submission history

From: Sumiyoshi Abe [view email]
[v1] Mon, 28 Jun 2010 16:31:29 UTC (168 KB)
[v2] Mon, 7 Feb 2011 13:45:24 UTC (1,100 KB)
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