Hostname: page-component-cd9895bd7-7cvxr Total loading time: 0 Render date: 2024-12-26T03:12:37.682Z Has data issue: false hasContentIssue false

Thermal relaxation of a two-dimensional plasma in a d.c. magnetic field. Part 1. Theory

Published online by Cambridge University Press:  13 March 2009

Jang-Yu Hsu
Affiliation:
University of Iowa
David Montgomery
Affiliation:
Hunter College of the City University of New York
Glenn Joyce
Affiliation:
University of Iowa

Abstract

A theory is presented for the rate of thermal relaxation of a two-dimensional plasma in a strong uniform d.c. magnetic field. The Vahala—Montgomery kinetic description is completed by providing a cut-off time for the time of interaction of two particles which contribute to the collision term. The kinetic equation preclicts that thermal relaxation occurs as a function of the dimensionless time (ωpt) (ωp) (n0λ2D)−½, where ωp, is the plasma frequency, Ω is the gyrofrequency, and n0 λ2D is the number of particles per Debye square. By contrast, in the absence of an external magnetic field, a two-dimensional plasma relaxes as a function of (ωpt) (n0λ2D)−1.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1974

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

Bogolyubov, N. N. 1946 J. Phys. (USSR), 10, 265.Google Scholar
Dupree, T. H. 1961 Phys. Fluids, 4, 696.CrossRefGoogle Scholar
Dupree, T. H. 1963 Phys. Fluids, 6, 1714.CrossRefGoogle Scholar
Dupree, T. H. 1964 Phys. Fluids, 7, 923.CrossRefGoogle Scholar
Joyce, G. & Montgomery, D. 1972 Phys. Letters, 39A, 371.CrossRefGoogle Scholar
Joyce, G. & Montgomery, D. 1973 J. Plasma Phys. 10, 107.CrossRefGoogle Scholar
Montgomery, D. 1967 Kinetic Theory. Lectures in Theoretical Physics, vol. 9c (ed. Brittin, W. et al.), p. 15. Gordon and Breach.Google Scholar
Montgomery, D & Nielson, C. 1970 Phys. Fluids, 13, 1405.CrossRefGoogle Scholar
Mongtomery, D. 1971 Theory of the Unmagnetized Plasma, Gordon and Breach.Google Scholar
Montgomery, D. & Tappert, F. 1972 Phys. Fluids, 15, 683.CrossRefGoogle Scholar
Montgomery, D. 1972a Phys. Letters, 39A, 7.CrossRefGoogle Scholar
Montgomery, D. 1972b Lectures at the 1972 Les Houches Summer School of Theoretical Physics. Gordon and Breach. (To be published.)Google Scholar
Taylor, J. B. & Mcnamara, B., 1971 Phys. Fluids, 14, 1492.CrossRefGoogle Scholar
Taylor, J. B. 1972 Phys. Letters, 40A, 1.CrossRefGoogle Scholar
Vahala, G. & Montgomery, D. 1971 J. Plasma Phys. 6, 425.CrossRefGoogle Scholar
Vahala, G. 1972 Ph.D. thesis, University of Iowa.Google Scholar
Yoo, N. Y.& Abraham-Shrauner, B., 1973 Physica, 68, 133.CrossRefGoogle Scholar