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Precursory phenomena associated with large avalanches in the long-range connective sandpile (LRCS) model

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  • Lee, Ya-Ting
  • Chen, Chien-chih
  • Chang, Young-Fo
  • Chiao, Ling-Yun

Abstract

Reduction in b-values before a large earthquake is a very popular topic for discussion. This study proposes an alternative sandpile model being able to demonstrate reduction in scaling exponents before large events through adaptable long-range connections. The distant connection between two separated cells was introduced in the sandpile model. We found that our modified long-range connective sandpile (LRCS) system repeatedly approaches and retreats from a critical state. When a large avalanche occurs in the LRCS model, accumulated energy dramatically dissipates and the system simultaneously retreats from criticality. The system quickly approaches the critical state accompanied by the increase in the slopes of the power-law frequency-size distributions of events. Afterwards, and most interestingly, the power-law slope declines before the next large event. The precursory b-value reduction before large earthquakes observed from earthquake catalogues closely mimics the evolution in power-law slopes for the frequency-size distributions of events derived in the LRCS models. Our paper, thus, provides a new explanation for declined b-values before large earthquakes.

Suggested Citation

  • Lee, Ya-Ting & Chen, Chien-chih & Chang, Young-Fo & Chiao, Ling-Yun, 2008. "Precursory phenomena associated with large avalanches in the long-range connective sandpile (LRCS) model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(21), pages 5263-5270.
    • Handle: RePEc:eee:phsmap:v:387:y:2008:i:21:p:5263-5270
    DOI: 10.1016/j.physa.2008.05.004
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    References listed on IDEAS

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    1. Lahtinen, Jani & Kertész, János & Kaski, Kimmo, 2005. "Sandpiles on Watts–Strogatz type small-worlds," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 349(3), pages 535-547.
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    Cited by:

    1. Lee, Ya-Ting & Chen, Chien-chih & Lin, Chai-Yu & Chi, Sung-Ching, 2012. "Negative correlation between power-law scaling and Hurst exponents in long-range connective sandpile models and real seismicity," Chaos, Solitons & Fractals, Elsevier, vol. 45(2), pages 125-130.

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