Hostname: page-component-cd9895bd7-gxg78 Total loading time: 0 Render date: 2024-12-27T15:23:03.906Z Has data issue: false hasContentIssue false

Reactive and resistive nonlinear instabilities

Published online by Cambridge University Press:  13 March 2009

D. B. Melrose
Affiliation:
School of Physics, University of Sydney, Sydney, NSW 2006, Australia

Abstract

It is argued that familiar nonlinear instabilities, such as three-wave decay instabilities and scattering off quasi-modes, have reactive and resistive versions. In appropriate limits these versions correspond to fixed-phase parametric instabilities and to random phase growth in weak turbulence theory, respectively. Using a simplified model it is shown that the reactive version passes over into the resistive version when the band-width of the pump is comparable with the growth rate.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1986

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

Briggs, R. J. 1964 Electron-Stream Interaction with Plasmas. M.I.T. Press.CrossRefGoogle Scholar
Cap, F. F. 1978 Handbook on Plasma Instabilities, vol. 2. Academic.Google Scholar
Davidson, R. C. 1972 Methods in Nonlinear Plasma Theory. Academic.Google Scholar
Falk, L. R. & Tsytovich, W. N. 1975 Physica Scripta, 11, 285.CrossRefGoogle Scholar
Goldman, M. V. 1984 Rev. Mod. Phys. 56, 709.CrossRefGoogle Scholar
Laval, G., Pellat, R. & Pesme, D. 1976 Phys. Rev. Lett. 36, 192.CrossRefGoogle Scholar
Liu, C. S. & Kaw, P. K. 1976 Adv. Plasma Phys. 6, 83.Google Scholar
Melrose, D. B. 1980 Plasma Astrophysics, vol. 1. Gordon & Breach.Google Scholar
Nishikawa, K. 1968 J. Phys. Soc. Japan, 24, 916.CrossRefGoogle Scholar
Nishikawa, K. & Liu, C. S. 1976 Adv. Plasma Phys. 6, 3.Google Scholar
Sagdeev, R. A. & Galeev, A. A. 1969 Nonlinear Plasma Theory. Benjamin.Google Scholar
Smith, R. A., Goldstein, M. L. & Papadopoulos, K. 1979 Astrophys. J. 234, 348.CrossRefGoogle Scholar
Thomson, J. J. 1975 Nucl. Fusion, 15, 237.CrossRefGoogle Scholar
Thomson, J. J. & Karush, J. I. 1974 Phys. Fluids, 17, 1608.CrossRefGoogle Scholar
Tsytovich, V. N. 1970 Nonlinear Effects in Plasma. Plenum.CrossRefGoogle Scholar
Valeo, E. J. & Oberman, C. R. 1973 Phys. Rev. Lett. 30, 1035.CrossRefGoogle Scholar