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Rossby-wave driven zonal flows in the ionospheric E-layer

Published online by Cambridge University Press:  01 February 2007

T. D. KALADZE ,
D. J. WU ,
O. A. POKHOTELOV ,
R. Z. SAGDEEV ,
L. STENFLO  and
P. K. SHUKLA
T. D. KALADZE
Affiliation:
Purple Mountain Observatory, Chinese Academy of Sciences, Nanjing, 210008, People's Republic of China I. Vekua Institute of Applied Mathematics, Tbilisi State University, 2 University Street, 0143 Tbilisi, Georgia
D. J. WU
Affiliation:
Purple Mountain Observatory, Chinese Academy of Sciences, Nanjing, 210008, People's Republic of China
O. A. POKHOTELOV
Affiliation:
Automatic Control and Systems Engineering, University of Sheffield, Sheffield, UK Institute of Physics of the Earth, 123995 Moscow, 10 B. Gruzinskaya Street, Russia
R. Z. SAGDEEV
Affiliation:
Department of Physics, University of Maryland, College Park, MD 20740, USA
L. STENFLO
Affiliation:
Department of Physics, Umeå UniversitySE-90 187 Umeå, Sweden
P. K. SHUKLA
Affiliation:
Institut für Theoretische Physik IV, Ruhr–Universität Bochum, D-44780 Bochum, Germany
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Abstract.

A novel mechanism for the generation of large-scale zonal flows by small-scale Rossby waves in the Earth's ionospheric E-layer is considered. The generation mechanism is based on the parametric excitation of convective cells by finite amplitude magnetized Rossby waves. To describe this process a generalized Charney equation containing both vector and scalar (Korteweg–de Vries type) nonlinearities is used. The magnetized Rossby waves are supposed to have arbitrary wavelengths (as compared with the Rossby radius). A set of coupled equations describing the nonlinear interaction of magnetized Rossby waves and zonal flows is obtained. The generation of zonal flows is due to the Reynolds stresses produced by finite amplitude magnetized Rossby waves. It is found that the wave vector of the fastest growing mode is perpendicular to that of the magnetized Rossby pump wave. Explicit expression for the maximum growth rate as well as for the optimal spatial dimensions of the zonal flows are obtained. A comparison with existing results is carried out. The present theory can be used for the interpretation of the observations of Rossby-type waves in the Earth's ionosphere.

Type
Papers
Information
Journal of Plasma Physics , Volume 73 , Issue 1 , February 2007 , pp. 131 - 140
Copyright
Copyright © Cambridge University Press 2006

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References

Antipov, S. V., Snezhkin, M. V. and Trubnikov, A. S. 1982 Rossby soliton in the laboratory. Sov. Phys. JETP, Eng. Transl. 55, 85.Google Scholar
Gershman, B. I. 1974 Dynamics of the Ionospheric Plasma. Moscow: Nauka (in Russian).Google Scholar
Gossard, E. and Hooke, W. 1975 Waves in the Atmosphere. Amsterdam: Elsevier.Google Scholar
Kaladze, T. D. 1998 Nonlinear vortical structures in the Earth's ionosphere. Physica Scripta T75, 153.CrossRefGoogle Scholar
Kaladze, T. D. 1999 Magnetized Rossby waves in the Earth's ionosphere. Plasma Phys. Reports 25, 284.Google Scholar
Kaladze, T. D., Pokhotelov, O. A., Sagdeev, R. Z., Stenflo, L. and Shukla, P. K. 2003 Planetary electromagnetic waves in the ionospheric E-layer. J. Atmosp. Solar-Terr. Phys. 65, 757.CrossRefGoogle Scholar
Kaladze, T. D., Aburjania, G. D., Kharshiladze, O. A., Horton, W. and Kim, Y.-H. 2004 Theory of magnetized Rossby waves in the ionospheric E-layer. J. Geophys. Res. 109, A05302, doi: 10.1029/2003JA010049.CrossRefGoogle Scholar
Kaladze, T. D. and Tsamalashvili, L. V. 1997 Solitary dipole vortices in the Earth's ionosphere. Phys. Lett. A 232, 269.CrossRefGoogle Scholar
Kamide, Y. 1988 Electrodynamic processes in the Earth's ionosphere and magnetosphere. Kyoto: Kyoto Sangyo University Press.Google Scholar
Lawrence, A. R. and Jarvis, M. J. 2003 Simultaneous observations of planetary waves from 30 to 220 km. J. Atm. Solar-Terr. Phys. 65, 765.CrossRefGoogle Scholar
Lighthill, M. J. 1965 Group velocity. J. Inst. Maths. Applics 1, 1.CrossRefGoogle Scholar
Manfredi, G., Roch, C. M. and Dendy, R. O. 2001 Zonal flow and streamer generation in drift turbulence. Plasma Phys. Control. Fusion 43, 825.CrossRefGoogle Scholar
Nezlin, M. V. and Chernikov, G. P. 1995 Analogy between drift vortices in plasmas and geophysical hydrodynamics. Plasma Phys. Rep. 21, 922.Google Scholar
Onishchenko, O. G., Pokhotelov, O. A., Sagdeev, R. Z., Shukla, P. K. and Stenflo, L. 2004 Generation of zonal flows by Rossby waves in the atmosphere. Nonlin. Proc. Geophys. 11, 241.CrossRefGoogle Scholar
Petviashvili, V. I. 1980 Red spot of Jupiter and drift soliton in a plasma. JETP Lett., Engl. Transl. 32, 619.Google Scholar
Petviashvili, V. I. and Pokhotelov, O. A. 1992 Solitary Waves in Plasmas and in the Atmosphere. Reading: Gordon and Breach.Google Scholar
Pokhotelov, O. A., Stenflo, L. and Shukla, P. K. 1996 Nonlinear structures in the Earth's magnetosphere and atmosphere. Plasma Phys. Reports 22, 852.Google Scholar
Pokhotelov, O. A., Kaladze, T. D., Shukla, P. K. and Stenflo, L. 2001 Three-dimensional solitary vortex structures in the upper atmosphere. Phys. Scripta 64, 245.CrossRefGoogle Scholar
Shukla, P. K. and Stenflo, L. 2002 Nonlinear interactions between drift waves and zonal flows. Eur. Phys. J. D 20, 103.CrossRefGoogle Scholar
Shukla, P. K. and Stenflo, L. 2003 Generation of zonal flows by Rossby waves. Phys. Lett. A 307, 154.CrossRefGoogle Scholar
Smolyakov, A. I., Diamond, P. H. and Shevchenko, V. I. 2000 Zonal flow generation by parametric instability in magnetized plasmas and geostrophical fluids. Phys. Plasmas 7, 1349.CrossRefGoogle Scholar