by LIPPIELLO Eugenio, DE ARCANGELIS Lucilla, GODANO Cataldo
Abstract:
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 a. If a is generated by the SOC with memory model, one finds oil-off intermittency features, in good agreement with experimental analysis of the California catalog. Conversely, if a 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.
Reference:
On-off intermittency in mean-field earthquake model (LIPPIELLO Eugenio, DE ARCANGELIS Lucilla, GODANO Cataldo), In EUROPHYSICS LETTERS, volume 76, 2006. (Articolo in rivista)
Bibtex Entry:
@article{lip06,
author = {LIPPIELLO Eugenio, and DE ARCANGELIS Lucilla, and GODANO Cataldo,},
pages = {979-985},
title = {On-off intermittency in mean-field earthquake model},
volume = {76},
note = {Articolo in rivista},
issn = {0295-5075},
journal = {EUROPHYSICS LETTERS},
doi = {10.1209/epl/i2006-10365-4},
year = {2006},
wosId = {WOS:000242941000036},
scopusId = {2-s2.0-33845339284},
abstract = {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 a. If a is generated by the SOC with memory model, one finds oil-off intermittency features, in good agreement with experimental analysis of the California catalog. Conversely, if a 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.}
}