Evidence of fractional transport in point vortex flow

✍ Scribed by Xavier Leoncini; Leonid Kuznetsov; George M. Zaslavsky

• Book ID: 104363338
• Publisher: Elsevier Science
• Year: 2004
• Tongue: English
• Weight: 500 KB
• Volume: 19
• Category: Article
• ISSN: 0960-0779
• DOI: 10.1016/s0960-0779(03)00040-7

✦ Synopsis

Advection properties of passive particles in flows generated by point vortices are considered. Transport properties are anomalous with characteristic transport exponent l $ 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 l to the trapping time exponent c ¼ 1 þ l. 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.