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

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dc.creatorHasumi, Tomohiro
dc.date2008-07-24
dc.date2008-12-12
dc.date.accessioned2026-07-07T12:11:49Z
dc.date.available2026-07-07T12:11:49Z
dc.descriptionWe 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 $q_t+q_r \sim 2$, where $q_t$ and $q_r$ 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.
dc.description9 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/0807.3828
dc.identifierhttp://arxiv.org/abs/0807.3828
dc.identifierphysica A, 388, 477-482, (2009)
dc.identifierdoi:10.1016/j.physa.2008.10.017
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/210345
dc.subjectOther Condensed Matter
dc.subjectStatistical Mechanics
dc.titleHypocenter interval statistics between successive earthquakes in the two-dimensional Burridge-Knopoff model
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