# ZONAL FLOW AND MAGNETIC FIELD GENERATION IN THE IONOSPHERE ON THE BASIS OF MULTISCALE EXPANSION

## Main Article Content

## Abstract

In the present work, the generation of large-scale zonal flows and magnetic field by short-scale collisionless electron skin depth order** **drift-Alfven turbulence in the ionosphere is investigated. The self-consistent system of two model nonlinear equations, describing the dynamics of wave structures with characteristic scales till to the skin value, is obtained. Evolution equations for the shear flows and the magnetic field is obtained by means of the averaging of model equations for the fast-high-frequency and small-scale fluctuations on the basis of multi-scale expansion. It is shown that the large-scale disturbances of plasma motion and magnetic field are spontaneously generated by small-scale drift-Alfven wave turbulence through the nonlinear action of the stresses of Reynolds and Maxwell. Positive feedback in the system is achieved via modulation of the skin size drift-Alfven waves by the large-scale zonal flow and/or by the excited large-scale magnetic field. As a result, the propagation of small-scale wave packets in the ionospheric medium is accompanied by low-frequency, long-wave disturbances generated by parametric instability. Two regimes of this instability, resonance kinetic and hydrodynamic ones, are studied. The increments of the corresponding instabilities are also found. The conditions for the instability development and possibility of the generation of large-scale structures are determined. The nonlinear increment of this interaction substantially depends on the wave vector of Alfven pumping and on the characteristic scale of the generated zonal structures. This means that the instability pumps the energy of primarily small-scale Alfven waves into that of the large-scale zonal structures** **which is typical for an inverse turbulent cascade. The increment of energy pumping into the large-scale region noticeably depends also on the width of the pumping wave spectrum and with an increase of the width of the initial wave spectrum the instability can be suppressed.

**Keywords:**

**Published:**Mar 31, 2015

## Article Details

*Journals of Georgian Geophysical Society*,

*17*(C). Retrieved from https://ggs.openjournals.ge/index.php/GGS/article/view/1644

## References

1. of plasma in magnetic traps. Plasma Phys. Rep. V.16. №1. P. 70-76.

2. Aburjania G.D. 2006. Self organization of nonlinear vortex structures and the vortex turbulence in the dispersed media. Moscow: Komkniga, URSS. 325 p.

3. Aburjania G.D. 2007. Nonlinear generation mechanism for the vortex electric field in magnetized plasma media//. Phys. Plasmas. V. 14. № 1. P. 1-7.

4. Aburjania G.D., Chargazia Kh.Z., Zimbardo G. 2008. Generation of the large scale zonal flows and magnetic fields by small scale drift-Alfven turbulence in the ionosphere plasma II. (analysis of instability).

5. Aubert J., Jung S. and Swinney H.L. 2002. Observations of zonal flow created by potential vorticity mixing in a rotating fluid. Geophys. Res. Lett. V.29. dpi:10.1029/2002GLO15422.

6. Busse F.H. 1994. Convektion driven zonal flows and vortices in the major planets. Chaos. V.4. № 2. P. 123-134.

7. Diamond, P.H., Itoh, S-I. and Hahm, T.S. 2005. Zonal flows in plasma – a revive. Plasma Phys. Control. Fusion. V.47. P. R35-R161.

8. Gekelman W. 1999. Review of Laboratory experiments on Alfven waves and their relationship to space observations. J. Geophys. Res. V. 104. №7. P. 14,417-14,435.

9. Guzdar P.N., Kleva R.G. and Chen L. 2001. Shear flow generation by drift waves revisited. Phys. Plasmas. V.8. №2. P. 459-462.

10. Kadomtsev B.B., Pogutse O.P. 1984. Theory of electron transfer processes by the strong magnetic field. Lett. To JETF. V. 88. №39. P. 225-2287.

11. Kamide Y. and Chian A.C.-L. (Eds). 2007. Handbook of the Solar-Terrestrial Environment. Springer- Verlag, Berlin, Heidelberg, New York. 539 p.

12. Lakhin V.P. 2003. Generation of the zonal flows and the large scale magnetic fields by the drift-Alfven turbulence. Plasma Phys.Rep. V. 29. № 2. P. 157-171.

13. Lakhin V.P. 2004. Finite ion Larmour radius effects in the problem of zonal flow generation by kinetic drift-Alfven turbulence. Plasma Phys. Control. Fusion. V. 46. p. 877-897.

14. Mikhailovskii A.B., Pokhotelov O.A. 1975. Influence of twists and ion-cyclotron oscillations on the Alfven waves’ beating in the magnetospheric plasma. Plasma Phys. Rep. V. 1. Pub. 6. P. 1004-1012.

15. Mikhailovskii A.B. 1978. Plasma instabilities in the magnetic traps. Moscow: Atomizdat. 295 p.

16. Mikhailovskii A.B., Smolyakov A.I., Kovalishen E.A., Shirokov M.S., Tsypin V.S. and Galvao R.M.O. 2006. Generation of zonal flows by ion-temperature-gradientb and related modes in the presence of neoclassical viscosity. Phys. Plasmas. V.13. P.052514.

17. Mikhailovskii A.B., Shirokov M.S., Smolyakov A.I. and Tsypin V.S. 2006. Two-stream-like mechanism of zonal-flow generation by Rossby waves in shallow rotating fluid. Pis’ma v ZhETF.V.84. Iss.2. P.81-83.

18. Mikhailovskii A.B., Smolyakov A.I., Kovalishen E.A. et al. 2006. Zonal flows generated by small-scale drift Alfven modes. Phys. Plasmas. V. 13. P. 042507.

19. Narita Y., Glassmeier K.-H., Franz M., Nariyuki Y. and Hada T. 2007. Observations of linear and nonlinear processes in the foreshock wave evolution. Nonlinear Proc. Geophys. V. 14. P. 361-371.

20. Oraevskii V.N. 1984. Basics of plasma physics. Edited by A.A. Galeev and R. Sudan. V.2. Moscow: Energoatomizdat, P.7.

21. Pokhotelov O.A., Onishchenko O.G., Sagdeev R.Z. and Treumann R.A. 2003. Nonlinear dynamics of inertial Alfven waves in the upper ionosphere. Parametric generation of electrostatic convective cells. J. Geophys. Res. V.108. №A7. P. 1291. doi:10.1029/2003JA009888.

22. Sagdeev P.Z., Shapiro V.D., Shevchenko V.I. 1978. Convective rings and anomalous diffusion of plasma. Plasma Phys. Rep. V. 4. Pub. 3. P. 551-559.

23. Sahraoui F., Belmont G., Rezeau L. and Cornilleau-Wehrlin N. 2006. Anizotropic turbulent spectra in the terrestrial magnetosheat as seen by the Cluster spacecraft. Phys. Rev. Lett. V. 96. P. 075002.

24. Shukla P.K. and Stenflo L. 2002. Nonlinear interaction between drift waves and zonal flows.Eur. Phys. Lett. D. V. 307. P.103- 106.

25. Shukla P.K. 2005. Excitation of zonal flows by kinetic Alfven waves. Phys. Plasmas. V.12. P. 012310.

26. Smolyakov A.I., Diamond P.H. and Shevchenko V.I. 2000. Zonal flow generation by parametric instability in magnetized plasmas and geostrophic fluids.Phys. Plasmas. V.7. № 5. P. 1349-1352.

27. Smolyakov A., Diamond P. and Kishimoto Y. 2002. Secondary instabilities of large scale flow and magnetic field in the electromagnetic shortnwavelength drift-Alfven wave turbulence. Phys. Plasmas. V. 9. № 9. P. 3826-3834.

28. Stasiewicz K., Bellan P., Chaston C. et al. 2000. Smal scale alfvenic structure in the aurora. Space Sci. Rev. V. 92. P. 423-533.

29. Vedenov A.A., Rudakov L.I. 1964. Оn the interaction of the waves in continuous media. RAS SSSR. V. 159. № 4. P. 767-770.

30. Treumann R.A., Jaroschek C.H., Constantinescu O.D. et al. 2004. The strange physics of low frequency mirror mode turbulence in the high temperature plasma of the magnetosheath//. Nonlinear Proc. Geophys. V.11. P. 647-657.