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Titel Mulifractal phase transitions: the origin of self-organized criticality in earthquakes
VerfasserIn C. Hooge, S. Lovejoy, D. Schertzer, S. Pecknold, J.-F. Malouin, F. Schmitt
Medientyp Artikel
Sprache Englisch
ISSN 1023-5809
Digitales Dokument URL
Erschienen In: Nonlinear Processes in Geophysics ; 1, no. 2/3 ; Nr. 1, no. 2/3, S.191-197
Datensatznummer 250000012
Publikation (Nr.) Volltext-Dokument vorhandencopernicus.org/npg-1-191-1994.pdf
 
Zusammenfassung
Fractal and occasionally multifractal behaviour has been invoked to characterize (independently of their magnitude) the spatial distribution of seismic epicenters, whereas more recently, the frequency distribution of magnitudes (irrespective of their spatial location) has been considered as a manifestation of Self-Organized Criticality (SOC). In this paper we relate these two aspects on rather general grounds, (i.e. in a model independent way), and further show that this involves a non-classical SOC. We consider the multifractal characteristics of the projection of the space-time seismic process onto the horizontal plane whose values are defined by the measured ground displacements, we show that it satisfies the requirements for a first order multifractal phase transition and by implication for a non-classical SOC. We emphasize the important consequences of the stochastic alternative to the classical (deterministic) SOC.
 
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