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Excitation of zonal flow by the modulational instability in electron temperature gradient driven turbulence

Published online by Cambridge University Press:  01 June 2008

Yu. A. ZALIZNYAK ,
A. I. YAKIMENKO  and
V. M. LASHKIN
Yu. A. ZALIZNYAK
Affiliation:
Institute for Nuclear Research, Nauki ave., 47, Kiev 03680, Ukraine
A. I. YAKIMENKO
Affiliation:
Institute for Nuclear Research, Nauki ave., 47, Kiev 03680, Ukraine Department of Physics, Taras Shevchenko National University, prospekt Glushkova 2, Kiev 03680, Ukraine (zalik@kinr.kiev.ua)
V. M. LASHKIN
Affiliation:
Institute for Nuclear Research, Nauki ave., 47, Kiev 03680, Ukraine
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Abstract

The generation of large-scale zonal flows by small-scale electrostatic drift waves in electron temperature gradient driven turbulence model is considered. The generation mechanism is based on the modulational instability of a finite amplitude monochromatic drift wave. The threshold and growth rate of the instability as well as the optimal spatial scale of zonal flow are obtained.

Type
Papers
Information
Journal of Plasma Physics , Volume 74 , Issue 3 , June 2008 , pp. 381 - 389
Copyright
Copyright © Cambridge University Press 2007

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References

[1]Diamond, P. H., Itoh, S.-I., Itoh, K. and Hahm, T. S. 2005 Zonal flows in plasma—a review Plasma Phys. Control. Fusion, 47, 35–161.CrossRefGoogle Scholar
[2]Itoh, K., Itoh, S.-I., Diamond, P. H., Hahm, T. S., Fujisawa, A.Tynan, G. R., Yagi, M. and Nagashima, Y. 2006 Phys. zonal flows. Phys. Plasmas 47, 055502.CrossRefGoogle Scholar
[3]Smolyakov, A. I., Diamond, P. H. and Malkov, M. 2000 Coherent structure phenomena in drift wave–zonal flow turbulence. Phys. Rev. Lett. 84, 491–494.CrossRefGoogle ScholarPubMed
[4]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 7, 1349–1351.CrossRefGoogle Scholar
[5]Shukla, P. K., Yu, M. Y., Rahman, H. U. and Spatschek, K. H. 1981 Excitation of convective cells by drift waves. Phys. Rev. A 23, 321–324.CrossRefGoogle Scholar
[6]Shukla, P. K., Yu, M. Y., Rahman, H. U. and Spatschek, K. H. 1984 Nonlinear convective motion in plasmas. Phys. Rep. 105, 227–328.CrossRefGoogle Scholar
[7]Chen, L., Lin, Z. and White, R. 2000 Excitation of zonal flow by drift waves in toroidal plasmas. Phys. Plasmas 7, 3129–3132.CrossRefGoogle Scholar
[8]Shukla, P. K. and Stenflo, L. 2002 Generation of zonal flows by interchange modes in a plasma. Eur. Phys. J. D 21, 343–345.Google Scholar
[9]Manfredi, G., Roach, C. M. and Dendy, R. O. 2001 Zonal flow and streamer generation in drift turbulence. Plasma Phys. Control. Fusion 43, 825–837.CrossRefGoogle Scholar
[10]Zonca, F., White, R. B. and Chen, L. 2004 Nonlinear paradigm for drift wave–zonal flow interplay: coherence, chaos, and turbulence. Phys. Plasmas 11, 2488–2496.CrossRefGoogle Scholar
[11]Shukla, P. K. and Stenflo, L. 2003 Generation of zonal flows by Rossby waves. Phys. Lett. A 307, 154–157.CrossRefGoogle Scholar
[12]Kaladze, T. D., Wu, D. J., Pokhotelov, O. A., Sagdeev, R. Z., Stenflo, L. and Shukla, P. K. 2005 Drift wave driven zonal flows in plasmas. Phys. Plasmas 12, 122 311.CrossRefGoogle Scholar
[13]Shukla, P. K. 2005 Excitation of zonal flows by kinetic Alfvén waves. Phys. Plasmas 12, 012310.CrossRefGoogle Scholar
[14]Holland, C. and Diamond, P. H. 2002 Electromagnetic secondary instabilities in electron temperature gradient turbulence. Phys. Plasmas 9, 3857–3866.CrossRefGoogle Scholar
[15]Gürcan, Ö. and Diamond, P. H. 2004 Streamer formation and collapse in electron temperature gradient driven turbulence Phys. Plasmas, 11, 572–583.CrossRefGoogle Scholar
[16]Gürcan, Ö. and Diamond, P. H. 2004 Hamiltonian structure of the fluid electron temperature gradient driven mode Phys. Plasmas, 11, 332–333.CrossRefGoogle Scholar
[17]Gürcan, Ö. and Diamond, P. H. 2004 Nonlinear elongation of two-dimensional structures in electron temperature gradient driven turbulence Phys. Plasmas, 11 4973–4982.CrossRefGoogle Scholar
[18]Jenko, E., Dorland, W., Kotschenreuther, M. and Rogers, B. N. 2000 Electron temperature gradient driven turbulence. Phys. Plasmas 7, 1904–1910.CrossRefGoogle Scholar
[19]Moestam, R., Sheikh, D. and Weiland, J. 2004 Self-consistent theory of zonal flows in ion temperature gradient turbulence. Phys. Plasmas 11, 4801–4807.CrossRefGoogle Scholar