Nonlinear Sciences – Chaotic Dynamics
Scientific paper
2006-02-21
Chaos, Solitons and Fractals, 19, (2) 259 (2004)
Nonlinear Sciences
Chaotic Dynamics
Scientific paper
Advection properties of passive particles in flows generated by point vortices are considered. Transport properties are anomalous with characteristic transport exponent $\mu \sim 1.5$. 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 $\mu $ to the trapping time exponent $\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.
Kuznetsov Leonid
Leoncini Xavier
Zaslavsky George M.
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