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Dynamic properties of ηi-mode weak turbulence

Published online by Cambridge University Press:  13 March 2009

Alireza Pakyari  and
Vladimir P. Pavlenko
Alireza Pakyari
Affiliation:
Department of Technology, EURATOM–NFR Fusion Association, Uppsala University, PO Box 534, S-751 21 Uppsala, Sweden
Vladimir P. Pavlenko
Affiliation:
Department of Technology, EURATOM–NFR Fusion Association, Uppsala University, PO Box 534, S-751 21 Uppsala, Sweden
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Abstract

The turbulence of the toroidal ηi mode has a forward spectral cascade. This means that most of the energy initially placed in the low-wavenumber region (the linear instability region) will be spread out towards high-wavenumber modes. Therefore the linear instability may be reduced by this energy cascade. An elementary estimate of the critical amplitude for nonlinear mode coupling to balance the linear growth rate is given. As a consequence of three wave cascade process derivable from the fully toroidal fluid model equations, the formation of zonal flows ηi-mode turbulence is predicted.

Type
Research Article
Information
Journal of Plasma Physics , Volume 55 , Issue 1 , February 1996 , pp. 47 - 58
Copyright
Copyright © Cambridge University Press 1996

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References

REFERENCES

Andersson, P. & Weiland, J. 1988 Phys. Fluids 31, 359.CrossRefGoogle Scholar
Antonsen, T., Coppi, B. & Englade, R. 1979 Nuci. Fusion 19, 681.Google Scholar
Coppi, B., Rosenbluth, M. N. & Sagdeev, R. Z. 1967 Phys. Fluids 10, 582.CrossRefGoogle Scholar
Dimits, A. M., Drake, J. F., Guzdar, P. N. & Hassam, A. B. 1991 Phys. Fluids B3, 620.CrossRefGoogle Scholar
Hasegawa, A., Maclennan, C. G. & Kodama, Y. 1979 Phys. Fluids 22, 2122.CrossRefGoogle Scholar
Hinton, F. L. & Horton, C. W. 1971 Phys. Fluids 14, 116.CrossRefGoogle Scholar
Hong, B. G. & Horton, W. 1990 Phys. Fluids B2, 978.CrossRefGoogle Scholar
Hong, B. G., Horton, W. & Choi, D. I. 1989 Plasma Pliys. Contr. Fusion 31, 1291.CrossRefGoogle Scholar
Horton, W., Choi, D. I. & Tang, W. M. 1981 Phys. Fluids 24, 1077.CrossRefGoogle Scholar
Jarmén, A. 1991 Physica Scripta 43, 89.CrossRefGoogle Scholar
Jarmén, A., Andersson, P. & Weiland, J. 1987 Nucl. Fusion. 27, 941.CrossRefGoogle Scholar
Kodama, Y. & Pavlenko, P. V. 1988 Phys. Rev. Lett. 60, 1506.CrossRefGoogle Scholar
Murtaza, G., Nadeem, M. & Shukla, P. K. 1993 Physica Scripta 48, 355.CrossRefGoogle Scholar
Nordman, H. & Weiland, J. 1989 Mucl. Fusion 29, 251.CrossRefGoogle Scholar
Nordman, H., Pavlenko, P. V. & Weiland, J. 1993 Phys. Fluids B5, 402.CrossRefGoogle Scholar
Ottaviani, M., Romanelli, F., Benzi, R., Briscolni, M., Santangelo, P. & Succi, S. 1990 Phys. Fluids B2, 67.CrossRefGoogle Scholar
Pakyari, A. R. & Pavlenko, V. P. 1995 Preprint UPTEC 94 139 R (December 1994). Physica Scripta, to be published.Google Scholar
Pavlenko, P. V. & Weiland, J. 1980 Phys. Rev. Lett. 44, 148.CrossRefGoogle Scholar
Rogister, A., Hasselberg, G., Waelbroeck, F. & Weiland, J. 1988 Nucl. Fusion. 28, 1053.CrossRefGoogle Scholar
Romanelli, F. 1989 Phys. Fluids B1, 1018.CrossRefGoogle Scholar
Rosenbluth, M. N., & Simon, A. 1965 Phys. Fluids 8, 1300.CrossRefGoogle Scholar
Rudakov, L. I. & Sagdeev, R. Z. 1961 Dokl. Akad. Nauk SSSR 138, 581 [Soviet Phys. Dokl. 6, 415].Google Scholar
Shukla, P. K. & Feix, G. 1989 Solar Phys. 123. 117.CrossRefGoogle Scholar
Shukla, P. K. & Stenflo, L. 1985 Phys. Fluids 28, 1576.CrossRefGoogle Scholar
Shukla, P. K. & Stenflo, L. 1986 Phys. Fluids 29, 2479.CrossRefGoogle Scholar
Shukla, P. K. & Weiland, J. 1989 Phys. Lett. 136A, 59.CrossRefGoogle Scholar
Stenflo, L. 1990 Physica Scripta T30, 166.CrossRefGoogle Scholar
Stenflo, L. 1994 Physica Scripta T50, 15.CrossRefGoogle Scholar
Tsai, S. I., Perkins, F. W. & Stix, T. H. 1990 Phys. Fluids 13, 2108.CrossRefGoogle Scholar
Wagner, F. & Stroth, U. 1993 Plasma Phys. Contr. Fusion 35, 1321.CrossRefGoogle Scholar
Weiland, J. 1993 Transport in high temperature toroidal plasma. Göteborg Preprint CTH-IEFT/PP-1993–23.Google Scholar
Weiland, J. & Hirose, A. 1992 Nucl. Fusion 32, 151.CrossRefGoogle Scholar