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Hypocenter interval statistics between successive earthquakes in the two-dimensional Burridge–Knopoff model

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  • Hasumi, Tomohiro

Abstract

We study statistical properties of spatial distances between successive earthquakes, the so-called hypocenter intervals, produced by a two-dimensional (2D) Burridge–Knopoff model involving stick-slip behavior. It is found that cumulative distributions of hypocenter intervals can be described by the q-exponential distributions with q<1, which is also observed in nature. The statistics depend on a friction and stiffness parameters characterizing the model and a threshold of magnitude. The conjecture which states that qt+qr∼2, where qt and qr are an entropy index of time intervals and spatial intervals, respectively, can be reproduced semi-quantitatively. It is concluded that we provide a new perspective on the Burridge–Knopoff model which addresses that the model can be recognized as a realistic one in view of the reproduction of the spatio-temporal interval statistics of earthquakes on the basis of nonextensive statistical mechanics.

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  • Hasumi, Tomohiro, 2009. "Hypocenter interval statistics between successive earthquakes in the two-dimensional Burridge–Knopoff model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(4), pages 477-482.
    • Handle: RePEc:eee:phsmap:v:388:y:2009:i:4:p:477-482
    DOI: 10.1016/j.physa.2008.10.017
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    1. Vilar, C.S. & França, G.S. & Silva, R. & Alcaniz, J.S., 2007. "Nonextensivity in geological faults?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 377(1), pages 285-290.
    2. Darooneh, Amir H. & Dadashinia, Cyruse, 2008. "Analysis of the spatial and temporal distributions between successive earthquakes: Nonextensive statistical mechanics viewpoint," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(14), pages 3647-3654.
    3. Abe, Sumiyoshi & Suzuki, Norikazu, 2005. "Scale-free statistics of time interval between successive earthquakes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 350(2), pages 588-596.
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