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Evidence of fractional transport in point-vortex flow

Xavier Leoncini·Leonid Kuznetsov·George M. Zaslavsky
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Abstract

Advection properties of passive particles in flows generated by point vortices are considered. Transport properties are anomalous with characteristic transport exponent $μ\sim 1.5$. 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 $μ$ to the trapping time exponent $γ=1+μ$. 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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Xavier Leoncini, Leonid Kuznetsov, George M. Zaslavsky. 2006-02-21. Evidence of fractional transport in point-vortex flow. https://arxiv.org/abs/nlin/0602046

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