Lagrangian chaos and correlated Lévy flights in a non-Beltrami flow: transient versus long-term transport.
Long-range transport is studied numerically in a time-independent, three-dimensional (3D) fluid flow composed of the superposition of two chains of alternating vortices, one horizontal and the other vertical. Tracers in this flow follow chaotic trajectories composed of correlated Lévy flights with varying velocities. Locations of the chaotic regimes in the flow are compared with recent theories of chaos in non-Beltrami 3D flows. Growth of the variance of a distribution of tracers is divided into transient and long-term regimes, each with different growth exponents.
Fogleman
M A
MA
Department of Physics, Bucknell University, Lewisburg, Pennsylvania 17837, USA.
Fawcett
M J
MJ
Solomon
T H
TH