Nonlinear Sciences – Chaotic Dynamics
Scientific paper
2007-04-18
M.Yu. Uleysky, M.V. Budyansky, and S.V. Prants. Effect of dynamical traps on chaotic transport in a meandering jet flow. Chaos
Nonlinear Sciences
Chaotic Dynamics
Double of arXiv:1112.4556
Scientific paper
We continue our study of chaotic mixing and transport of passive particles in a simple model of a meandering jet flow [Prants, et al, Chaos {\bf 16}, 033117 (2006)]. In the present paper we study and explain phenomenologically a connection between dynamical, topological, and statistical properties of chaotic mixing and transport in the model flow in terms of dynamical traps, singular zones in the phase space where particles may spend arbitrary long but finite time [Zaslavsky, Phys. D {\bf 168--169}, 292 (2002)]. The transport of passive particles is described in terms of lengths and durations of zonal flights which are events between two successive changes of sign of zonal velocity. Some peculiarities of the respective probability density functions for short flights are proven to be caused by the so-called rotational-islands traps connected with the boundaries of resonant islands (including those of the vortex cores) filled with the particles moving in the same frame. Whereas, the statistics of long flights can be explained by the influence of the so-called ballistic-islands traps filled with the particles moving from a frame to frame.
Budyansky M. V.
Prants Sergey V.
Uleysky Michael Y.
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