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An Abelian model for rainfall

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  • Pinho, Suani T.R.
  • Andrade, Roberto F.S.

Abstract

Statistical analyses of long-term records of daily rain suggest that rain phenomena might be a manifestation of self-organized criticality. In this work the essential mechanisms of rain phenomena, the growth of droplets inside a cloud and the subsequent rainfall, are described by an Abelian sandpile model of self-organized criticality. Several simulations support the existence of scale invariance. The introduction of variations of the basic model, to provide a better description of the phenomena, does not alter the critical behavior.

Suggested Citation

  • Pinho, Suani T.R. & Andrade, Roberto F.S., 1998. "An Abelian model for rainfall," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 255(3), pages 483-495.
    • Handle: RePEc:eee:phsmap:v:255:y:1998:i:3:p:483-495
    DOI: 10.1016/S0378-4371(98)00077-6
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    Cited by:

    1. de Benicio, Rosilda B. & Stošić, Tatijana & de Figueirêdo, P.H. & Stošić, Borko D., 2013. "Multifractal behavior of wild-land and forest fire time series in Brazil," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(24), pages 6367-6374.
    2. Wang, Jian & Song, Weiguo & Zheng, Hongyang & Telesca, Luciano, 2010. "Temporal scaling behavior of human-caused fires and their connection to relative humidity of the atmosphere," Ecological Modelling, Elsevier, vol. 221(1), pages 85-89.

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