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Analysis of the distribution of the order parameter of synthetic seismicity generated by a simple spring–block system with asperities

Author

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  • Flores-Márquez, E.L.
  • Vargas, C.A.
  • Telesca, L.
  • Ramírez-Rojas, A.

Abstract

By analyzing the synthetic seismicity generated by a simple spring–block system with asperities, the probability distribution of its order parameter is investigated. The spring–block system mimics the interaction between tectonic plates, whose asperities are given by sandpapers of different grades. The analysis is performed in the natural time domain, which was shown to be an important tool to obtain relevant information hidden in the time series of complex systems. We find that the scaled probability density functions of the order parameter almost collapse onto a single curve with non-Gaussian tails. This indicates that the system is in a critical state similar to what is reported for several real seismic catalogues and numerical simulations of different complex systems.

Suggested Citation

  • Flores-Márquez, E.L. & Vargas, C.A. & Telesca, L. & Ramírez-Rojas, A., 2014. "Analysis of the distribution of the order parameter of synthetic seismicity generated by a simple spring–block system with asperities," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 393(C), pages 508-512.
    • Handle: RePEc:eee:phsmap:v:393:y:2014:i:c:p:508-512
    DOI: 10.1016/j.physa.2013.07.015
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    Cited by:

    1. Vargas, C.A. & Flores-Márquez, E.L. & Ramírez-Rojas, A. & Telesca, L., 2015. "Analysis of natural time domain entropy fluctuations of synthetic seismicity generated by a simple stick–slip system with asperities," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 419(C), pages 23-28.
    2. Moreno-Torres, Lucia Rebeca & Gomez-Vieyra, Armando & Lovallo, Michele & Ramírez-Rojas, Alejandro & Telesca, Luciano, 2018. "Investigating the interaction between rough surfaces by using the Fisher–Shannon method: Implications on interaction between tectonic plates," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 506(C), pages 560-565.
    3. Stavros-Richard G. Christopoulos & Nicholas V. Sarlis, 2017. "An Application of the Coherent Noise Model for the Prediction of Aftershock Magnitude Time Series," Complexity, Hindawi, vol. 2017, pages 1-27, February.

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