Hostname: page-component-586b7cd67f-r5fsc Total loading time: 0 Render date: 2024-11-26T00:27:44.881Z Has data issue: false hasContentIssue false
  • English
  • Français

Nyquist diagrams for low-frequency oscillations in a non-uniform magnetoplasma

Published online by Cambridge University Press:  13 March 2009

Bruno Bertotti  and
Aldo Nocentini
Bruno Bertotti
Affiliation:
Laboratorio dei Gas Ionizzati, Euratom-CNEN, Frascati, Roma, Italy
Aldo Nocentini
Affiliation:
Laboratorio dei Gas Ionizzati, Euratom-CNEN, Frascati, Roma, Italy
Get access Rights & Permissions [Opens in a new window]

Abstract

A modification of the Penrose criterion is applied to the local dispersion relation for low-frequency, electrostatic instabilities in a low-density, slightly inhomogeneous magnetoplasma. The Nyquist diagrams obtained can be classified according to their behaviour near the origin; this is sufficient in some cases to conclude that the equilibrium is unstable. With this method, in the limit of negligible ion Larmor radius, we find that the Langmuir waves propagating in a direction orthogonal to the external magnetic field are driven unstable by a temperature gradient.

Type
Research Article
Information
Journal of Plasma Physics , Volume 2 , Issue 2 , June 1968 , pp. 135 - 143
Copyright
Copyright © Cambridge University Press 1968

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

Galeev, A. A., Oraevskii, V. N. & Sagdeev, R. Z. 1963 Soviet Phys. JETP 17, 615.Google Scholar
Hoh, F. C. 1965 Phys. Fluids 8, 968.CrossRefGoogle Scholar
Jeans, J. H. 1902 Phil. Trans. Roy. Soc. 199, 1.Google Scholar
Kadomtsev, B. B. & Timofeev, A. V. 1963 Soviet Phys. Doklady 7, 826.Google Scholar
Krall, N. A. & Rosenbluth, M. N. 1965 Phys. Fluids 8, 1488.CrossRefGoogle Scholar
Muskhelishvili, N. I. 1946 Singular Integral Equations. Groningen, Holland: P. Noordhoff N.V.Google Scholar
Penrose, O. 1960 Phys. Fluids 3, 258.CrossRefGoogle Scholar
Rosenbluth, M. N. 1965 Plasma Physics. Vienna, Austria: IAEA.Google Scholar
Rudakov, L. I. & Sagdeev, R. Z. 1961 Soviet Phys. Doklady 6, 415.Google Scholar
Rukhadze, A. A. & Silin, V. P. 1964 Soviet Phys. Uspekhi 7, 209.CrossRefGoogle Scholar