Velocity statistics for nonuniform configurations of point vortices

Audun Skaugen and Luiza Angheluta
Phys. Rev. E 93, 042137 – Published 27 April 2016

Abstract

Within the point-vortex model, we compute the probability distribution function of the velocity fluctuations induced by same-sign vortices scattered within a disk according to a fractal distribution of distances to the origin rα. We show that the different random configurations of vortices induce velocity fluctuations that are broadly distributed and follow a power-law tail distribution P(V)Vα2 with a scaling exponent determined by the α exponent of the spatial distribution. We also show that the range of the power-law scaling regime in the velocity distribution is set by the mean density of vortices and the exponent α of the vortex density distribution.

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  • Received 25 January 2016

DOI:https://doi.org/10.1103/PhysRevE.93.042137

©2016 American Physical Society

Physics Subject Headings (PhySH)

Statistical Physics & Thermodynamics

Authors & Affiliations

Audun Skaugen* and Luiza Angheluta

  • Department of Physics, University of Oslo, P.O. 1048 Blindern, 0316 Oslo, Norway

  • *audun.skaugen@fys.uio.no

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Issue

Vol. 93, Iss. 4 — April 2016

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