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Investigating the interaction between rough surfaces by using the Fisher–Shannon method: Implications on interaction between tectonic plates

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  • Moreno-Torres, Lucia Rebeca
  • Gomez-Vieyra, Armando
  • Lovallo, Michele
  • Ramírez-Rojas, Alejandro
  • Telesca, Luciano

Abstract

We investigated the properties of the interaction between surfaces with asperities by the analysis of voltage time series recorded by an experimental stick–slip model. We found that: (1) the standard deviation of the voltage time series decreases with the number of consecutive runs, reflecting the decrease of the displacements’ variation due to the decrease of friction between the two interacting surfaces; (2) the Shannon entropy (the Fisher Information Measure) of the voltage time series decreases (increases) with the number of consecutive runs, suggesting a decrease of the randomness of the system; (3) this experimental model mimics the aging effect that characterizes the interaction between tectonic faults.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:506:y:2018:i:c:p:560-565
    DOI: 10.1016/j.physa.2018.04.023
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    References listed on IDEAS

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    1. Luciano Telesca & Michele Lovallo & Alejandro Ramirez-Rojas & Leticia Flores-Marquez, 2014. "Relationship between the Frequency Magnitude Distribution and the Visibility Graph in the Synthetic Seismicity Generated by a Simple Stick-Slip System with Asperities," PLOS ONE, Public Library of Science, vol. 9(8), pages 1-7, August.
    2. Telesca, Luciano & Lovallo, Michele, 2017. "On the performance of Fisher Information Measure and Shannon entropy estimators," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 484(C), pages 569-576.
    3. Aleksander Janicki & Aleksander Weron, 1994. "Simulation and Chaotic Behavior of Alpha-stable Stochastic Processes," HSC Books, Hugo Steinhaus Center, Wroclaw University of Technology, number hsbook9401.
    4. Telesca, Luciano & Lovallo, Michele & Hsu, Han-Lun & Chen, Chien-Chih, 2011. "Analysis of dynamics in magnetotelluric data by using the Fisher–Shannon method," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(7), pages 1350-1355.
    5. Martin, M.T. & Perez, J. & Plastino, A., 2001. "Fisher information and nonlinear dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 291(1), pages 523-532.
    6. Telesca, Luciano & Lovallo, Michele & Ramirez-Rojas, Alejandro & Angulo-Brown, Fernando, 2009. "A nonlinear strategy to reveal seismic precursory signatures in earthquake-related self-potential signals," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(10), pages 2036-2040.
    7. 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.
    8. Vargas, C.A. & Basurto, E. & Guzmán-Vargas, L. & Angulo-Brown, F., 2008. "Sliding size distribution in a simple spring-block system with asperities," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(13), pages 3137-3144.
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