TRACERS, COHERENT STRUCTURES, AND FRACTIONAL KINETICS .

George M. Zaslavsky

Department of Physics and Courant Institute of NYU

We consider chaotic dynamics of tracers in a system of point vortices and,

in parallel, the phase space topology of the vortices. There exist a

specific connection between coherent structures of the vortex system and

tracers transport , which is possible to describe in an analytical way and

confirm by simulations. The coherent structures occur as clusters of few

vortices , which impose the tracers kinetics of the fractional type. On

that way a characteristic exponent of the tracers dispersion can be

obtained from the first principles.