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 . We show that the different random configurations of vortices induce velocity fluctuations that are broadly distributed and follow a power-law tail distribution with a scaling exponent determined by the 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 of the vortex density distribution.
- Received 25 January 2016
DOI:https://doi.org/10.1103/PhysRevE.93.042137
©2016 American Physical Society