The Droplike Nature of Rain and Its Invariant Statistical Properties

Author:

Ignaccolo Massimiliano1,De Michele Carlo2,Bianco Simone3

Affiliation:

1. Department of Physics, Duke University, Durham, North Carolina

2. Department of Hydraulic, Environmental, Roads and Surveying Engineering, Politecnico di Milano, Milano, Italy, and Department of Environmental Sciences and Engineering, University of North Carolina at Chapel Hill, Chapel Hill, North Carolina

3. Department of Applied Science, College of William and Mary, Williamsburg, Virginia

Abstract

Abstract This study looks for statistically invariant properties of the sequences of inter-drop time intervals and drop diameters. The authors provide evidence that these invariant properties have the following characteristics: 1) large inter-drop time intervals (≳10 s) separate drops of small diameter (≲0.6 mm); 2) the rainfall phenomenon has two phases: a quiescent phase, whose contribution to the total cumulated flux is virtually null, and an active, nonquiescent, phase that is responsible for the bulk of the precipitated volume; 3) the probability density function of inter-drop time intervals has a power-law-scaling regime in the range of ∼1 min and ∼3 h); and 4) once the moving average and moving standard deviation are removed from the sequence of drop diameters, an invariant shape emerges for the probability density function of drop diameters during active phases.

Publisher

American Meteorological Society

Subject

Atmospheric Science

Reference33 articles.

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5. Problems with fitting to the power-law distribution.;Goldstein;Eur. Phys. J.,2004

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