Abstract
Delayed self-organized criticality is defined. It is shown to preserve the power-law behavior of self-organized criticality with a significant change in the exponents. A delayed version of the Ito—Matsuzaki model for earthquakes is constructed and studied. This model explains some fractal features of earthquakes as well as the Gutenberg-Richter and Omori laws. Furthermore theb value obtained from the delayed model is closer to observations than theb value of the undelayed model.
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References
Bak, P., and Creutz, M. (1994). InFractals and Disordered Systems, H. Bundeet al., eds., Springer, Berlin.
Bak, P., Tang, C., and Wiesenfled, K. (1987).Physical Review Letters,59, 381.
Diodati, P., Marchesoni, F., and Piazza, S. (1991).Physical Review Letters,67, 2239.
Evernden, J. F. (1970). Seismologica Society of America Bulletin,60, 393, 446.
Gutenberg, B. and Richter, C. F. (1954).Seismicity of the Earth and Associated Phenomena, 2nd ed., Princeton University Press, Princeton, New Jersey.
Ito, K., and Matsuzaki, M. (1990).Journal of Geophysical Research B,95, 6853.
Matsuzaki, M., and Takayasu, H. J. (1991).Geophysical Research,96, 19925.
Omori, F. (1894).Report of the Earthquake Investigation Commission,2, 103, 39.
Sornette, D., Davy, P., and Sornette, A. (1990).Journal of Geophysical Research,195, 17353.
Turcotte, D. L. (1992).Fractals and Chaos in Geology and Geophysics, Cambridge University Press, Cambridge.
Utsu, T. (1961).Geophysical Magazine,30, 521, 605.
Utsu, T. (1970).Journal of the Faculty of Science Hokkaido University, Services VII,3, 197.
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Elgazzar, A.S., Ahmed, E. & Mousa, M.H. Delayed self-organized criticality and earthquake modeling. Int J Theor Phys 36, 3065–3069 (1997). https://doi.org/10.1007/BF02435727
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DOI: https://doi.org/10.1007/BF02435727