Hostname: page-component-78c5997874-j824f Total loading time: 0 Render date: 2024-11-17T23:13:31.728Z Has data issue: false hasContentIssue false
  • English
  • Français

Coupling between Varma, modified-convective-cell and Alfvén modes in an inhomogeneous plasma

Published online by Cambridge University Press:  13 March 2009

P. K. Shukla ,
U. de Angelis  and
D. Jovanović
P. K. Shukla
Affiliation:
Department of Physics, University of Bochum, D-4630 Bochum l, Federal Republic of Germany
U. de Angelis
Affiliation:
Department of Physical Sciences, University of Naples, 80125 Naples, Italy
D. Jovanović
Affiliation:
Institute of Physics, P.O. Box 57, 11000 Belgrade, Yugoslavia
Get access Rights & Permissions [Opens in a new window]

Abstract

The effect of parallel electron dynamics is incorporated in the study of the Varma mode, which is a flute-like electrostatic ion drift perturbation in an inhomogeneous magnetic field. Starting from the electron and ion continuity equations, an equation for the conservation of the ion magnetic moment, the generalized Ohm's law, and Faraday's and Ampère's laws, we derive a set of four nonlinearly coupled differential equations. The nonlinearities arising from the E × B0 convection of the density and magnetic-moment variations, nonlinear ion polarization drift and Lorentz force, and the coupling of the parallel electron flow to the perturbed magnetic field are included. In the linear limit we find that the Varma mode becomes coupled with the modified-convective-cell and Alfvén modes. The instability of the coupled system is analysed and an expression for the growth rate is obtained. In the nonlinear regime we present the localized dipole vortex solution of the coupled Varma and convective-cell modes as well as the coupled Varma and Alfvén modes. It is found that for the former case the nonlinear structure is a solution of a second-order partial differential equation, whereas for the coupled Varma and inertial Alfvén waves the dipole vortex belongs to a family of fourth-order differential equations. Our results can be useful in understanding the electrostatic and electromagnetic fluctuations in mirror reactors, tokamaks and astrophysical plasmas.

Type
Research Article
Information
Journal of Plasma Physics , Volume 41 , Issue 3 , June 1989 , pp. 469 - 477
Copyright
Copyright © Cambridge University Press 1989

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Anderson, O. A., Birdsall, D. H., Damm, C. G., Foote, J. H., Futch, A. H., Goodman, R. K., Gordon, F. H., Hamilton, G. W., Hooper, E. B., Hunt, A. L., Osher, E. & Parter, G. D. 1975 Proceedings of the 5th International Conference on Plasma Physics and Controlled Nuclear Fusion Research 1974, vol. 1, p. 379. IAEA, Vienna.Google Scholar
Arsenin, V. V., Zhiltsov, V. A., Kosarev, P. M., Makashin, I. N., Panov, D. A., Skovoroda, A. A. & Shcherebakov, A. G. 1987 Soviet J. Plasma Phys. 13, 87.Google Scholar
Avinash, & Varma, R. K. 1987 Nucl. Fusion, 27, 1047.CrossRefGoogle Scholar
Colchin, R. J., Dunlop, L. L. & Postama, H. 1970 Phys. Fluids, 13, 501.CrossRefGoogle Scholar
Damm, C. C., Foote, J. H. & Futch, A. H. 1969 Plasma and Controlled Nuclear Fusion Research, vol. 2, p. 253. IAEA, Vienna.Google Scholar
Gribkov, V. M. 1977 Soviet J. Plasma Phys. 3, 167.Google Scholar
Kadomtsev, B. B. 1965 Plasma Turbulence, p. 88. Academic Press.Google Scholar
Liu, J. & Horton, W. 1986 J. Plasma Phys. 36, 1.CrossRefGoogle Scholar
Okuda, H. & Dawson, J. M. 1973 Phys. Fluids, 16, 408.CrossRefGoogle Scholar
Shukla, P. K. & Stenflo, L. 1988 J. Plasma Phys. 40, 473.CrossRefGoogle Scholar
Simon, A. & Weng, C. I. 1972 Phys. Fluids, 15, 2341.CrossRefGoogle Scholar
Stenflo, L. 1987 Phys. Fluids, 30, 3279.CrossRefGoogle Scholar
Varma, R. K. 1967 Nucl. Fusion, 7, 57.CrossRefGoogle Scholar
Varma, R. K. 1981 Modern Plasma Physics, p. 147. IAEA, Vienna.Google Scholar
Zhiltsov, V. A., Kosarev, P. M., Likhtenshtein, V. K., Panov, D. A., Chuyanov, V. Y. & Shcherbakov, A. G. 1977 Soviet J. Plasma Phys. 3, 20.Google Scholar