Rain: Relaxations in the sky

Ole Peters and Kim Christensen
Phys. Rev. E 66, 036120 – Published 20 September 2002
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Abstract

We demonstrate how, from the point of view of energy flow through an open system, rain is analogous to many other relaxational processes in nature such as earthquakes. By identifying rain events as the basic entities of the phenomenon, we show that the number density of rain events per year is inversely proportional to the released water column raised to the power of 1.4. This is the rain equivalent of the Gutenberg-Richter law for earthquakes. The event durations and the waiting times between events are also characterized by scaling regions, where no typical time scale exists. The Hurst exponent of the rain intensity signal H=0.76>0.5. It is valid in the temporal range from minutes up to the full duration of the signal of half a year. All of our findings are consistent with the concept of self-organized criticality, which refers to the tendency of slowly driven nonequilibrium systems towards a state of scale-free behavior.

  • Received 27 March 2002

DOI:https://doi.org/10.1103/PhysRevE.66.036120

©2002 American Physical Society

Authors & Affiliations

Ole Peters* and Kim Christensen

  • Blackett Laboratory, Imperial College, Prince Consort Road, London SW7 2BW, United Kingdom

  • *Author to whom correspondence should be addressed. Email address: ole.peters@ic.ac.uk

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Issue

Vol. 66, Iss. 3 — September 2002

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