Hypocenter interval statistics between successive earthquakes in the two-dimensional Burridge-Knopoff model |
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Authors: | Tomohiro Hasumi |
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Affiliation: | Department of Applied Physics, Advanced School of Science and Engineering, Waseda University, Tokyo 169-8555, Japan |
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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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Keywords: | 05.65.+b 91.30.Px 05.45.Tp 89.75.Da |
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