Skip to main content
Log in

Chaotic transport across two-dimensional jet streams

  • Statistical, Nonlinear, and Soft Matter Physics
  • Published:
Journal of Experimental and Theoretical Physics Aims and scope Submit manuscript

Abstract

A dynamically consistent model of a jet stream modulated by Rossby waves is used to analyze the onset of chaotic transport of a passive tracer across the jet (cross-jet transport). For odd Rossby wavenumbers, a technique is developed to find a central invariant curve whose breakup signifies the onset of cross-jet transport. Amplitude and resonance mechanisms of breakup of this curve are investigated. For even-odd pairs of wavenumbers, an alternative technique is proposed for detecting cross-jet transport, based on an overlap of northern and southern stochastic layers. In this case, the Rossby-wave amplitudes required for global crossjet transport to occur are larger than those in the case of odd wavenumbers. The predicted results should be tested in laboratory experiments simulating jet streams modulated by Rossby waves.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. M. S. Lozier, L. J. Pratt, A. M. Rogerson, and P. D. Miller, J. Phys. Oceanogr. 27, 2327 (1997).

    Article  ADS  Google Scholar 

  2. R. T. Pierrehumbert, Geophys. Astrophys. Fluid Dyn. 58, 285 (1991).

    Article  ADS  Google Scholar 

  3. R. M. Samelson, J. Phys. Oceanogr. 22, 431 (1992).

    Article  ADS  Google Scholar 

  4. S. V. Prants, M. V. Budyansky, M. Yu. Uleysky, and G. M. Zaslavsky, Chaos 16, 033117 (2006).

    Article  MathSciNet  ADS  Google Scholar 

  5. M. Yu. Uleysky, M. V. Budyansky, and S. V. Prants, Chaos 17, 024703 (2007).

    Article  Google Scholar 

  6. K. V. Koshel’ and S. V. Prants, Usp. Fiz. Nauk 176(11), 1177 (2006) [Phys.—Usp. 49 (11), 1151 (2006)].

    Article  Google Scholar 

  7. K. V. Koshel’ and S. V. Prants, Chaotic Advection in the Ocean (Regular and Chaotic Dynamics Research Center, Institute of Computer Science, Moscow, 2008) [in Russian].

    Google Scholar 

  8. J. Sommeria, S. D. Meyers, and H. L. Swinney, Nature (London) 337, 58 (1989).

    Article  ADS  Google Scholar 

  9. R. P. Behringer, S. D. Meyers, and H. L. Swinney, Phys. Fluids A 3, 1243 (1991).

    Article  ADS  Google Scholar 

  10. T. H. Solomon, W. J. Holloway, and H. L. Swinney, Phys. Fluids A 5, 1971 (1993).

    Article  ADS  Google Scholar 

  11. D. Del-Castillo-Negrete and P. J. Morrison, Phys. Fluids A 5, 948 (1993).

    Article  MATH  MathSciNet  ADS  Google Scholar 

  12. I. I. Rypina, M. G. Brown, F. J. Beron-Vera, H. Kozak, M. J. Olascoaga, and I. A. Udovydchenkov, J. Atmos. Sci. 64, 3595 (2007).

    Article  ADS  Google Scholar 

  13. M. V. Budyansky, M. Yu. Uleysky, and S. V. Prants, Phys. Rev. E: Stat., Nonlinear, Soft Matter Phys. 79, 056 215 (2009).

    Article  Google Scholar 

  14. J. Pedlosky, Geophysical Fluid Dynamics (Springer, New-York, 1987).

    MATH  Google Scholar 

  15. H. L. Kuo, J. Meteorol. 6, 105 (1949).

    Google Scholar 

  16. J. E. Howard and S. M. Hohs, Phys. Rev. A: At., Mol., Opt. Phys. 29, 418 (1984).

    MathSciNet  ADS  Google Scholar 

  17. S. Shinohara and Y. Aizawa, Prog. Theor. Phys. 100, 219 (1998).

    Article  MathSciNet  ADS  Google Scholar 

  18. A. Morozov, Chaos 12, 539 (2002).

    Article  MATH  MathSciNet  ADS  Google Scholar 

  19. M. Yu. Uleysky, M. V. Budyansky, and S. V. Prants, http://dynalab.poi.dvo.ru/papers/3-1.avi.

  20. M. Yu. Uleysky, M. V. Budyansky, and S. V. Prants, http://dynalab.poi.dvo.ru/papers/5-3.avi.

  21. M. Yu. Uleysky, M. V. Budyansky, and S. V. Prants, http://dynalab.poi.dvo.ru/papers/5-4.avi.

Download references

Author information

Authors and Affiliations

Authors

Additional information

Original Russian Text © M.Yu. Uleysky, M.V. Budyansky, S.V. Prants, 2010, published in Zhurnal Éksperimental’noĭ i Teoreticheskoĭ Fiziki, 2010, Vol. 138, No. 6, pp. 1175–1188.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Uleysky, M.Y., Budyansky, M.V. & Prants, S.V. Chaotic transport across two-dimensional jet streams. J. Exp. Theor. Phys. 111, 1039–1049 (2010). https://doi.org/10.1134/S1063776110120174

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1063776110120174

Keywords

Navigation