Hostname: page-component-cd9895bd7-jn8rn Total loading time: 0 Render date: 2024-12-26T04:19:06.395Z Has data issue: false hasContentIssue false
  • English
  • Français

Stability of cylindrical rotating plasmas to axisymmetric electrostatic perturbations

Published online by Cambridge University Press:  13 March 2009

E. M. Barston
E. M. Barston
Affiliation:
Department of Mathematics, University of Illinois at Chicago Circle, Chicago, Illinois 60680
Get access Rights & Permissions [Opens in a new window]

Extract

Necessary and sufficient conditions for the exponential stability of an N-component, warm or cold, rotating cylindrical plasma to axisymmetric electrostatic perturbations are obtained. The plasma is immersed in an axial magnetic field B0(r), where r is the radial co-ordinate, and the equilibrium quantities are permitted to be arbitrary functions of r consistent with the 0-order equations. The maximal growth rate of an unstable system is shown to be determined by a maximum principle.

Type
Research Article
Information
Journal of Plasma Physics , Volume 17 , Issue 3 , June 1977 , pp. 409 - 418
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

Barston, E. M. 1970 J. Fluid Mech. 42, 97.CrossRefGoogle Scholar
Barston, E. M. 1977 Int. J. Eng. Sci. 15, 71.CrossRefGoogle Scholar
Davidson, R. C. 1974 Theory of Non-neutral Plasmas. Benjamin.Google Scholar
Frieman, E. A. & Rotenberg, M. 1960 Rev. Mod. Phys. 32, 898.CrossRefGoogle Scholar
Howard, L. N. 1973 Studies in Appl. Math. 52, 39.CrossRefGoogle Scholar
Linson, L. M. 1971 Phys. Fluids, 14, 805.CrossRefGoogle Scholar
Low, F. E. 1961 Phys. Fluids, 4, 842.CrossRefGoogle Scholar
Meyer, R. E. 1971 Introduction to Mathematical Fluid Dynamics, ch. 6. Wiley-Interscince.Google Scholar
Sturrock, P. A. 1958 Ann. Phys. (N.Y.) 4, 306.CrossRefGoogle Scholar