Long-term particle tracking is used to study chaotic transport
experimentally in laminar, chaotic, and turbulent flows in an
annular tank that rotates sufficiently rapidly to insure
two-dimensionality of the flow. For the laminar and chaotic
velocity fields, the flow consists of a chain of vortices sandwiched
between unbounded jets. In these flow regimes, tracer particles
stick for long times to remnants of invariant surfaces around the
vortices, then make long excusions ("flights") in the jet regions.
The probability distributions for the flight time durations exhibit
power-law rather than exponential decays, indicating that the
particle trajectories are described mathematically as Levy flights
(i.e. the trajectories have infinite mean square displacement per
flight). Sticking time probability distributions are also
characterized by power laws, as found in previous numerical studies.
The mixing of an ensemble of tracer particles is
*superdiffusive*: the variance of the displacement grows with
time as *t^d* with 1 < *d* < 2. The dependence of
the diffusion exponent *d* and the scaling of the probability
distributions are investigated for periodic and chaotic flow
regimes, and the results are found to be consistnt with theoretical
preditions relating Levy flights and anomalous diffusion. For a
turbulent flow, the Levy flight description no longer applies, and
mixing no longer appears superdiffusive.