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Scaling behavior of earthquakes’ inter-events time series

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Central European Journal of Physics

Abstract

In this paper, we investigate the statistical and scaling properties of the California earthquakes’ inter-events over a period of the recent 40 years. To detect long-term correlations behavior, we apply detrended fluctuation analysis (DFA), which can systematically detect and overcome nonstationarities in the data set at all time scales. We calculate for various earthquakes with magnitudes larger than a given M. The results indicate that the Hurst exponent decreases with increasing M; characterized by a Hurst exponent, which is given by, H = 0:34 + 1:53/M, indicating that for events with very large magnitudes M, the Hurst exponent decreases to 0:50, which is for independent events.

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References

  1. B. Gutenberg, R. F. Richter, Seismicity of the Earth (Hafner, New York, 1965)

    Google Scholar 

  2. M. R. Rahimi Tabar et al., In: P. Bhattacharyya, B. K. Chakrabarti (Eds.), Modelling Criticaland Catastrophic Phenomena in Geoscience: A Statistical Physics Approach, Lecture Notes in Physics 705 (Springer, Heidelberg, 2006) 281

    Google Scholar 

  3. F. Omori, Journal of the College of Science, Imperial Univeristy of Tokyo 7, 111 (1894)

    Google Scholar 

  4. T. Utsu, Y. Ogata, R. S. Matsu’ura, J. Phys. Earth 43, 1 (1995)

    Article  Google Scholar 

  5. A. Saichev, D. Sornette, J. Geophys. Res. 112, B04313, (2007), DOI:10.1029/2006JB004536

    Article  Google Scholar 

  6. A. Saichev, D. Sornette, Phys. Rev. Lett. 97, 078501 (2006)

    Article  ADS  Google Scholar 

  7. B. D. Hughes, Random Walks and Random Environments, Volume 1 (Oxford University Press, London, 1995)

    MATH  Google Scholar 

  8. P. Bak, K. Christensen, L. Danon, T. Scanlon, Phys. Rev. Lett. 88, 178501 (2002)

    Article  ADS  Google Scholar 

  9. A. Corral, Phys. Rev. E 68, 5102 (2003)

    Article  ADS  Google Scholar 

  10. C. K. Peng et al., Phys. Rev. E 49, 1685 (1994)

    Article  ADS  Google Scholar 

  11. Z. Chen, P. Ch. Ivanov, K. Hu, H. E. Stanley, Phys. Rev. E 65 (2002)

  12. M. Sahimi, M. C. Robertson, C. G. Sammis, Phys. Rev. Lett. 70, 2186 (1993)

    Article  ADS  Google Scholar 

  13. J. M. Carlson, J. S. Langer, B. E. Shaw, Rev. Mod. Phys. 66, 657 (1994)

    Article  ADS  MATH  Google Scholar 

  14. G. R. Jafari, P. Pedram, L. Hedayatifar, J. Stat. Mech. — Theory E., P04012 (2007)

  15. M. S. Movahed, G. R. Jafari, F. Ghasemi, S. Rahvar, M. Reza Rahimi Tabar, J. Stat. Mech.-Theory E., P02003 (2006)

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Correspondence to Shahriar Shadkhoo.

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Shadkhoo, S., Ghanbarnejad, F., Jafari, G.R. et al. Scaling behavior of earthquakes’ inter-events time series. centr.eur.j.phys. 7, 620–623 (2009). https://doi.org/10.2478/s11534-009-0058-0

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  • DOI: https://doi.org/10.2478/s11534-009-0058-0

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PACS (2008)

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