English

Evidence of fractional transport in point-vortex flow

Chaotic Dynamics 2007-05-23 v1 Atmospheric and Oceanic Physics

Abstract

Advection properties of passive particles in flows generated by point vortices are considered. Transport properties are anomalous with characteristic transport exponent μ1.5\mu \sim 1.5. This behavior is linked back to the presence of coherent fractal structures within the flow. A fractional kinetic analysis allows to link the characteristic transport exponent μ\mu to the trapping time exponent γ=1+μ\gamma =1+\mu . The quantitative agreement is found for different systems of vortices investigated and a clear signature is obtained of the fractional nature of transport in these flows.

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Cite

@article{arxiv.nlin/0602046,
  title  = {Evidence of fractional transport in point-vortex flow},
  author = {Xavier Leoncini and Leonid Kuznetsov and George M. Zaslavsky},
  journal= {arXiv preprint arXiv:nlin/0602046},
  year   = {2007}
}