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Nonlinear Sciences > Chaotic Dynamics

arXiv:1202.0352 (nlin)
[Submitted on 2 Feb 2012]

Title:Mechanism of destruction of transport barriers in geophysical jets with Rossby waves

Authors:M. Yu. Uleysky, M. V. Budyansky, S. V. Prants
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Abstract:The mechanism of destruction of a central transport barrier in a dynamical model of a geophysical zonal jet current in the ocean or the atmosphere with two propagating Rossby waves is studied. We develop a method for computing a central invariant curve which is an indicator of existence of the barrier. Breakdown of this curve under a variation of the Rossby wave amplitudes and onset of chaotic cross-jet transport happen due to specific resonances producing stochastic layers in the central jet. The main result is that there are resonances breaking the transport barrier at unexpectedly small values of the amplitudes that may have serious impact on mixing and transport in the ocean and the atmosphere. The effect can be found in laboratory experiments with azimuthal jets and Rossby waves in rotating tanks under specific values of the wave numbers that are predicted in the theory.
Subjects: Chaotic Dynamics (nlin.CD); Atmospheric and Oceanic Physics (physics.ao-ph)
Cite as: arXiv:1202.0352 [nlin.CD]
  (or arXiv:1202.0352v1 [nlin.CD] for this version)
  https://doi.org/10.48550/arXiv.1202.0352
Journal reference: Physical Review E. V.81 (2010) art. no 017202
Related DOI: https://doi.org/10.1103/PhysRevE.81.017202

Submission history

From: Michael Uleysky [view email]
[v1] Thu, 2 Feb 2012 04:02:20 UTC (2,491 KB)
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