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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

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