IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v388y2009i4p477-482.html
   My bibliography  Save this article

Hypocenter interval statistics between successive earthquakes in the two-dimensional Burridge–Knopoff model

Author

Listed:
  • Hasumi, Tomohiro

Abstract

We study statistical properties of spatial distances between successive earthquakes, the so-called hypocenter intervals, produced by a two-dimensional (2D) Burridge–Knopoff model involving stick-slip behavior. It is found that cumulative distributions of hypocenter intervals can be described by the q-exponential distributions with q<1, which is also observed in nature. The statistics depend on a friction and stiffness parameters characterizing the model and a threshold of magnitude. The conjecture which states that qt+qr∼2, where qt and qr are an entropy index of time intervals and spatial intervals, respectively, can be reproduced semi-quantitatively. It is concluded that we provide a new perspective on the Burridge–Knopoff model which addresses that the model can be recognized as a realistic one in view of the reproduction of the spatio-temporal interval statistics of earthquakes on the basis of nonextensive statistical mechanics.

Suggested Citation

  • Hasumi, Tomohiro, 2009. "Hypocenter interval statistics between successive earthquakes in the two-dimensional Burridge–Knopoff model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(4), pages 477-482.
    • Handle: RePEc:eee:phsmap:v:388:y:2009:i:4:p:477-482
    DOI: 10.1016/j.physa.2008.10.017
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437108008613
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/j.physa.2008.10.017?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Vilar, C.S. & França, G.S. & Silva, R. & Alcaniz, J.S., 2007. "Nonextensivity in geological faults?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 377(1), pages 285-290.
    2. Abe, Sumiyoshi & Suzuki, Norikazu, 2005. "Scale-free statistics of time interval between successive earthquakes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 350(2), pages 588-596.
    3. Darooneh, Amir H. & Dadashinia, Cyruse, 2008. "Analysis of the spatial and temporal distributions between successive earthquakes: Nonextensive statistical mechanics viewpoint," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(14), pages 3647-3654.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Răzvan-Cornel Sfetcu & Vasile Preda, 2023. "Fractal Divergences of Generalized Jacobi Polynomials," Mathematics, MDPI, vol. 11(16), pages 1-12, August.
    2. Ferreira, D.S.R. & Ribeiro, J. & Oliveira, P.S.L. & Pimenta, A.R. & Freitas, R.P. & Dutra, R.S. & Papa, A.R.R. & Mendes, J.F.F., 2022. "Spatiotemporal analysis of earthquake occurrence in synthetic and worldwide data," Chaos, Solitons & Fractals, Elsevier, vol. 165(P2).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Ferreira, D.S.R. & Ribeiro, J. & Oliveira, P.S.L. & Pimenta, A.R. & Freitas, R.P. & Dutra, R.S. & Papa, A.R.R. & Mendes, J.F.F., 2022. "Spatiotemporal analysis of earthquake occurrence in synthetic and worldwide data," Chaos, Solitons & Fractals, Elsevier, vol. 165(P2).
    2. Scherrer, T.M. & França, G.S. & Silva, R. & de Freitas, D.B. & Vilar, C.S., 2015. "Nonextensivity at the Circum-Pacific subduction zones—Preliminary studies," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 426(C), pages 63-71.
    3. Papadakis, Giorgos & Vallianatos, Filippos & Sammonds, Peter, 2016. "Non-extensive statistical physics applied to heat flow and the earthquake frequency–magnitude distribution in Greece," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 456(C), pages 135-144.
    4. Chochlaki, Kalliopi & Vallianatos, Filippos & Michas, Georgios, 2018. "Global regionalized seismicity in view of Non-Extensive Statistical Physics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 493(C), pages 276-285.
    5. Ferreira, Douglas S.R. & Papa, Andrés R.R. & Menezes, Ronaldo, 2014. "Small world picture of worldwide seismic events," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 408(C), pages 170-180.
    6. Ferreira, Douglas S.R. & Ribeiro, Jennifer & Oliveira, Paulo S.L. & Pimenta, André R. & Freitas, Renato P. & Papa, Andrés R.R., 2020. "Long-range correlation studies in deep earthquakes global series," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 560(C).
    7. Antonopoulos, Chris G. & Michas, George & Vallianatos, Filippos & Bountis, Tassos, 2014. "Evidence of q-exponential statistics in Greek seismicity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 409(C), pages 71-77.
    8. Eftaxias, Konstantinos & Minadakis, George & Potirakis, Stelios. M. & Balasis, Georgios, 2013. "Dynamical analogy between epileptic seizures and seismogenic electromagnetic emissions by means of nonextensive statistical mechanics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(3), pages 497-509.
    9. Liu, Guoliang, 2017. "A new physical model for earthquake time interval distribution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 465(C), pages 62-65.
    10. Kalimeri, M. & Papadimitriou, C. & Balasis, G. & Eftaxias, K., 2008. "Dynamical complexity detection in pre-seismic emissions using nonadditive Tsallis entropy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(5), pages 1161-1172.
    11. Papapetrou, M. & Kugiumtzis, D., 2020. "Tsallis conditional mutual information in investigating long range correlation in symbol sequences," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 540(C).
    12. Cartwright-Taylor, Alexis & Vallianatos, Filippos & Sammonds, Peter, 2014. "Superstatistical view of stress-induced electric current fluctuations in rocks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 414(C), pages 368-377.
    13. Hasumi, Tomohiro & Akimoto, Takuma & Aizawa, Yoji, 2009. "The Weibull–log Weibull transition of the interoccurrence time statistics in the two-dimensional Burridge–Knopoff Earthquake model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(4), pages 483-490.
    14. Vallianatos, Filippos & Koutalonis, Ioannis & Chatzopoulos, Georgios, 2019. "Evidence of Tsallis entropy signature on medicane induced ambient seismic signals," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 520(C), pages 35-43.
    15. Oikonomou, Thomas & Kaloudis, Konstantinos & Bagci, G. Baris, 2021. "The q-exponentials do not maximize the Rényi entropy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 578(C).
    16. Razdan, Ashok, 2013. "Networks in extensive air showers," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(4), pages 982-986.
    17. Rotundo, Giulia, 2014. "Black–Scholes–Schrödinger–Zipf–Mandelbrot model framework for improving a study of the coauthor core score," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 404(C), pages 296-301.
    18. Telesca, Luciano, 2010. "Nonextensive analysis of seismic sequences," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(9), pages 1911-1914.
    19. da Silva, Sérgio Luiz E.F., 2021. "κ-generalised Gutenberg–Richter law and the self-similarity of earthquakes," Chaos, Solitons & Fractals, Elsevier, vol. 143(C).
    20. Luigi-Ionut Catana & Vasile Preda, 2022. "A New Stochastic Order of Multivariate Distributions: Application in the Study of Reliability of Bridges Affected by Earthquakes," Mathematics, MDPI, vol. 11(1), pages 1-14, December.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:388:y:2009:i:4:p:477-482. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.