Hostname: page-component-cd9895bd7-mkpzs Total loading time: 0 Render date: 2024-12-26T17:15:36.336Z Has data issue: false hasContentIssue false
  • English
  • Français

Electrostatic plasma turbulence Part 2. The nonlinear dispersion relation and fluctuation spectrum

Published online by Cambridge University Press:  13 March 2009

H. C. Barr  and
T. J. M. Boyd
H. C. Barr
Affiliation:
School of Mathematics and Computer Science, University College of North Wales, Bangor LL57 2UW, Gwynedd
T. J. M. Boyd
Affiliation:
School of Mathematics and Computer Science, University College of North Wales, Bangor LL57 2UW, Gwynedd
Get access Rights & Permissions [Opens in a new window]

Extract

This paper complements an earlier one in which we considered the diffusion and drift across a magnetic field induced by a turbulent spectrum of fluctuations. We examine here the effects of these on the propagation of an unstable spectrum of modes. In the first paper a nonlinear dispersion relation is derived in a general closed form. This is then examined in the limint of short wavelengths (i.e.wavelengths much less than the gyroradii) and results of other authors are retrieved. In particular it is found that modes supported by the magnetic field are quashed whenever a particle may diffuse a wavelength per gyroperiod. For instance, in the context of current-driven instabilities (current across the magnetic field), electron cyclotron instabilities are quashed but not the ion-acoustic. The dispersion characteristics of the latter are unchanged except in that the drift which sustains the instability is altered by the presence of a turbulent (E × B) type drift. Depending on the level of fluctuations and magnetic field strength, this may amount simply to a rotation of the cone of unstable modes or may form a countercurrent which in turn suppresses the original current driving the instability.

In the second half of the paper the problem of calculating the fluctuation spectrum of the electric field is addressed since this is essential for a self-consistent computation of the diffusion tensor and turbulent drift appearing in the nonlinear dispersion relation.

Type
Research Article
Information
Journal of Plasma Physics , Volume 17 , Issue 3 , June 1977 , pp. 503 - 517
Copyright
Copyright © Cambridge University Press 1977

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

Barr, H. C. & Boyd, T. J. M. 1976 J. Plasma Phys. 15, 279.CrossRefGoogle Scholar
Biskamp, D. & Chodura, R. 1973. Phys. Fluids, 16, 893.CrossRefGoogle Scholar
Cook, I. & Taylor, J. B. 1973 J. Plasma Phys. 9, 131.CrossRefGoogle Scholar
Coppi, B., Rosenbluth, M. N. & Sudan, R. N. 1969 Ann. Phys. (N.Y.), 55, 207.CrossRefGoogle Scholar
Dum, C. T. & Dupree, T. H. 1970 Phys. Fluids, 13, 2064.CrossRefGoogle Scholar
Forslund, D. W., Morse, R. L. & Nielson, C. W. 1970 Phys. Rev. Lett. 25, 1266.CrossRefGoogle Scholar
Gary, S. P. & Saderson, J. J. 1970 J. Plasma Phys. 4, 739.CrossRefGoogle Scholar
Hubbard, J. 1961 Proc. Roy. Soc. A260, 114.Google Scholar
Lampe, M., Manheimer, W. M., McBride, J. B., Orens, J. H., Papadopulis, K., Shanny, R. & Sudan, R. N. 1972 Phys. Fluids, 15, 662.CrossRefGoogle Scholar
Lashmore-Davies, C. N. 1971 Phys. Fluids, 14, 1481.CrossRefGoogle Scholar
Rostoker, N. 1961 Nucl. Fusion, 1, 101.CrossRefGoogle Scholar
Sleeper, A. M., Weinstock, J. & Bezzerides, B. 1973 Phys. Fluids, 16, 1508.CrossRefGoogle Scholar
Wong, H. V. 1970 Phys. Fluids, 13, 757.CrossRefGoogle Scholar