Volume 76, Number 5, December 2006
|Page(s)||979 - 985|
|Section||Interdisciplinary physics and related areas of science and technology|
|Published online||08 November 2006|
On-off intermittency in mean-field earthquake model
Dipartimento di Scienze Fisiche, Università di Napoli “Federico II" 80125 Napoli, Italy
2 Dipartimento di Ingegneria dell'Informazione and CNISM Seconda Università di Napoli - 81031 Aversa (CE), Italy
3 Dipartimento di Scienze Ambientali and CNISM Seconda Università di Napoli - 81100 Caserta, Italy
Accepted: 13 October 2006
Earthquake occurrence is characterized by clustering of events leading to a complex time organization. A recent model, that introduces a memory effect within a Self-Organized Criticality (SOC) approach, was able to reproduce the statistical features in time and energy of seismic catalogs. We present a mean-field solution of this model which provides a quadratic equation similar to the logistic map for the event probability. By introducing a triggering threshold, we generate a sequence of events with a statistical organization depending on the control parameter α. If α is generated by the SOC with memory model, one finds on-off intermittency features, in good agreement with experimental analysis of the California catalog. Conversely, if α is randomly chosen, the typical Poisson-like behaviour is observed. This result supports the idea that the on-off intermittent behaviour, experimentally observed, is related to a mechanism of event triggering driven by the history of seismic events.
PACS: 89.75.-k – Complex systems / 05.45.-a – Nonlinear dynamics and chaos / 91.30.Dk – Seismicity
© EDP Sciences, 2006
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