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A nonextensive modification of the Gutenberg–Richter law: q-stretched exponential form

Author

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  • Darooneh, Amir H.
  • Mehri, Ali

Abstract

We study the cumulative distribution for the magnitude of earthquakes in the context of nonextensive statistical mechanics. A new modification of the Gutenberg–Richter (GR) law is introduced. We use seismic data sets which were recorded in two different regions, Iran and California, to compute the cumulative distribution of the magnitudes. The empirical data are fitted extremely well by our suggested expression for the modified GR law over the whole range of magnitudes.

Suggested Citation

  • Darooneh, Amir H. & Mehri, Ali, 2010. "A nonextensive modification of the Gutenberg–Richter law: q-stretched exponential form," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(3), pages 509-514.
    • Handle: RePEc:eee:phsmap:v:389:y:2010:i:3:p:509-514
    DOI: 10.1016/j.physa.2009.10.006
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    Cited by:

    1. 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).
    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. 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).
    4. 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.

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