Hostname: page-component-7479d7b7d-c9gpj Total loading time: 0 Render date: 2024-07-13T17:19:28.187Z Has data issue: false hasContentIssue false

The orbits of electrons and ions in a rotating magnetic field

Published online by Cambridge University Press:  13 March 2009

Waheed N. Hugrass
Affiliation:
School of Physical Sciences, The Flinders University of South Australia, South Australia, 5042
Ieuan R. Jones
Affiliation:
School of Physical Sciences, The Flinders University of South Australia, South Australia, 5042

Abstract

The motion of electrons and ions in a system which consists of a uniform rotating magnetic field and a steady uniform magnetic field which is aligned with the axis of rotation is re-examined. Stable orbits are identified and explicit expressions for these orbits are provided. The more realistic situation of motion in the non-uniform self-consistent fields appropriate to a cylindrical plasma equilibrium maintained by the rotating field is investigated. Again, stable orbits are found. The stability of orbits in this more complex situation is examined using an equivalent potential concept.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1983

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

Blevin, H. A. & Thonemann, P. C. 1962 Nucl. Fusion Suppl. part 1, p. 55.Google Scholar
Fisch, N. J. & Watanabe, T. 1982 Nucl. Fusion, 22, 423.CrossRefGoogle Scholar
Hugrass, W. N. 1982 J. Plasma Phys. 28, 369.CrossRefGoogle Scholar
Hugrass, W. N. & Grimm, R. C. 1981 J. Plasma Phys. 26, 455.CrossRefGoogle Scholar
Hugrass, W. N., Jones, I. R., McKenna, K. F., Phillips, M. G. R., Storer, R. G. & Tuczek, H. 1980 Phys. Rev. Lett. 44, 1676.CrossRefGoogle Scholar
Hugrass, W. N., Jones, I. R. & Phillips, M. G. R. 1979 Nucl. Fusion, 19, 1546.CrossRefGoogle Scholar
Hugrass, W. N., Jones, I. R. & Phillips, M. G. R. 1981 J. Plasma Phys. 26, 465.CrossRefGoogle Scholar
Insinger, F. G., Hopman, H. J. & Kistemaker, J. 1963 Plasma Phys. 5, 223.Google Scholar
Jones, I. R. & Hugrass, W. N. 1981 J. Plasma Phys. 26, 441.CrossRefGoogle Scholar
Kazantsev, A. P. 1960 Soviet Phys. JETP, 37, 1036.Google Scholar
Kurbatov, A. A., Popova, T. Ya. & Preobrazhenskii, N. G. 1976 Izv. Vys. Uche. Zaved. Fizika, 12, 7.Google Scholar
Legatowicz, A. 1961 Nucl. Fusion, 1, 155.CrossRefGoogle Scholar
Sivukhin, D. V. 1965 Reviews of Plasma Physics (ed. Leontovich, M. A.), vol. 1, p. 1. Consultants Bureau.Google Scholar
Soldatenkov, T. R. 1966 Soviet Phys. Tech. Phys. 11, 179.Google Scholar