Rain, power laws, and advection
Ronald Dickman
TL;DR
This paper explores the statistical properties of localized rain events, demonstrating that their size and duration follow power-law distributions, similar to seismic activity, by modeling rain as a passive tracer in a vortex-generated velocity field.
Contribution
It introduces a novel model of rain as a passive tracer in a vortex flow to explain the observed power-law distributions in rain event sizes and durations.
Findings
Rain events follow power-law size and duration distributions.
Passive tracer advection in vortex flows reproduces these power laws.
The model links precipitation patterns to fluid dynamics phenomena.
Abstract
Localized rain events have been found to follow power-law size and duration distributions over several decades, suggesting parallels between precipitation and seismic activity [O. Peters et al., PRL 88, 018701 (2002)]. Similar power laws are generated by treating rain as a passive tracer undergoing advection in a velocity field generated by a two-dimensional system of point vortices.
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