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Velocity statistics for nonuniform configurations of point vortices

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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Phys. Rev. E 93, 042137 – Published 27 April, 2016

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

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 ∼r−α. 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)∼Vα−2 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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Phys. Rev. E 93, 042137– Published 27 April, 2016
  • Received 25 January 2016

©2016 American Physical Society

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