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Rain: relaxations in the sky.

Ole Peters1, Kim Christensen

  • 1Blackett Laboratory, Imperial College, Prince Consort Road, London SW7 2BW, United Kingdom. ole.peters@ic.ac.uk

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|October 9, 2002
PubMed
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Rainfall exhibits self-organized criticality, similar to earthquakes. Event frequency scales with intensity, and durations/waiting times lack typical scales, indicating scale-free behavior in natural relaxational processes.

Area of Science:

  • Complex systems science
  • Geophysics
  • Hydrology

Background:

  • Natural phenomena like earthquakes and rainfall involve energy dissipation.
  • Understanding these processes requires analyzing event characteristics and their statistical distributions.

Purpose of the Study:

  • To establish an analogy between rainfall and other natural relaxational processes, specifically earthquakes.
  • To investigate the scaling laws governing rain event frequency, duration, and waiting times.
  • To explore the applicability of self-organized criticality to rainfall.

Main Methods:

  • Analyzing rainfall data by identifying individual rain events as basic units.
  • Quantifying the relationship between the number density of rain events and their intensity (released water column).

Related Experiment Videos

  • Characterizing event durations and inter-event waiting times.
  • Calculating the Hurst exponent for the rain intensity signal.

    • Main Results:

    • Rain event frequency is inversely proportional to the released water column raised to the power of 1.4, analogous to the Gutenberg-Richter law.
    • Rainfall exhibits scaling regions for event durations and waiting times, indicating a lack of characteristic scales.
    • The Hurst exponent of the rain intensity signal is 0.76, suggesting persistent behavior over various timescales.

    Conclusions:

    • Rainfall can be modeled as a self-organized critical phenomenon.
    • The findings support the concept that slowly driven, non-equilibrium systems naturally evolve towards scale-free states.
    • This study provides a new perspective on understanding hydrological processes through the lens of complex systems theory.