Hostname: page-component-78c5997874-g7gxr Total loading time: 0 Render date: 2024-11-06T06:13:16.460Z Has data issue: false hasContentIssue false
  • English
  • Français

Effects of repeated interactions and correlational disintegration on kinetic and transport properties of a non-neutral plasma in strong fields

Published online by Cambridge University Press:  13 March 2009

Alf H. Øien
Alf H. Øien
Affiliation:
Department of Applied Mathematics, University of Bergen, Allégt. 53/55, 5000 Bergen, Norway
Get access Rights & Permissions [Opens in a new window]

Abstract

Collisions in a cylindrically symmetric non-neutral (electron) plasma, where the Larmor radius is much smaller than the Debye length, and the consequent particle transport, are studied. The plasma is confined radially by a strong axial magnetic field and axially by electric potentials. Hence two particles may interact repeatedly. Eventually they drift too far away from each other poloidally to interact any more, owing to shear in the E × B drift. The consequent build-up of correlation is limited by correlational disintegration due to collisions with ‘third particles’ between the repeated interactions. A kinetic equation including these effects is derived, and the cross-field particle transport along the density gradient is found. An associated equilibration time is shown to scale as B and to be in good agreement with the experimentally obtained values of Briscoli, Malmberg and Fine.

Type
Research Article
Information
Journal of Plasma Physics , Volume 44 , Issue 1 , August 1990 , pp. 167 - 190
Copyright
Copyright © Cambridge University Press 1990

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

Dawson, J. M., Okuda, H. & Carlile, R. N. 1971 Phys. Rev.Lett. 27, 491.CrossRefGoogle Scholar
Driscoll, C. F., Fine, K. S. & Malberg, J. H. 1985 Bull. Am. Phys. Soc. 30, 1552.Google Scholar
Driscoll, C. F., Malmberg, J. H. & Fine, K. S. 1988 Phys. Rev. Lett 60, 1290.CrossRefGoogle Scholar
Dubin, D. H. E. & O'Neil, T. M. 1988 Phys. Rev. Lett. 60, 1286.CrossRefGoogle Scholar
Green, M. S. 1958 Physica 24, 393CrossRefGoogle Scholar
Hsu, J.-Y., Montgomery, D. & Joyce, G. 1974 J. Plasma Phys. 12, 21.CrossRefGoogle Scholar
Montgomery, D. C. & Tidman, D. A. 1964 Plasma Kinetic Theory. McGraw-Hill.Google Scholar
Øien, A. H. 1979 J. Plasma Phys. 21, 401.CrossRefGoogle Scholar
Øien, A. H. 1987 J. Plasma Phys. 38, 351.CrossRefGoogle Scholar
Øien, A. H. 1990 J. Plasma Phys. 43, 189.CrossRefGoogle Scholar
O'neil, T. M. 1985 Phys. Rev. Lett. 55, 943.CrossRefGoogle Scholar
O'neil, T. M. & Dbiscoll, C. F. 1979 Phys. Fluids, 22, 266.CrossRefGoogle Scholar
Su, C. H. 1964 J. Math. Phys. 5, 1273.CrossRefGoogle Scholar
Taylor, J. B. & Mcnamara, B. 1971 Phys. Fluids, 14, 1492.CrossRefGoogle Scholar
Vahala, G. & Montgomery, D. 1971 J. Plasma Phys. 6, 425.CrossRefGoogle Scholar