Complex earthquake networks: Hierarchical organization and assortative mixing

Details Complex earthquake networks: Hierarchical organization and assortative mixing Complex earthquake networks: Hierarchical organization and assortative mixing

2006-02-03

arxiv.org/abs/cond-mat/0602076v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

20 pages including 4 figures and 2 tables

Scientific paper

10.1103/PhysRevE.74.026113

To characterize the dynamical features of seismicity as a complex phenomenon, the seismic data is mapped to a growing random graph, which is a small-world scale-free network. Here, hierarchical and mixing properties of such a network are studied. The clustering coefficient is found to exhibit asymptotic power-law decay with respect to connectivity, showing hierarchical organization. This structure is supported by not only main shocks but also small shocks, and may have its origin in the combined effect of vertex fitness and deactivation by stress release at faults. The nearest-neighbor average connectivity and the Pearson correlation coefficient are also calculated. It is found that the earthquake network has assortative mixing. This is a main difference of the earthquake network from the Internet with disassortative mixing. Physical implications of these results are discussed.

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