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Kinetic theory of a two-dimensional magnetized plasma. Part 2. Balescu-Lenard limit

Published online by Cambridge University Press:  13 March 2009

George Vahala
George Vahala
Affiliation:
Department of Physics and Astronomy, The University of Tennessee, Knoxville, Tennessee
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Abstract

The kinetic theory of a two-dimensional one-species plasma in a uniform d.c. magnetic field is investigated in the small plasma parameter limit. The plasma consists of charged rods interacting through the logarithmic Coulomb potential. Vahala & Montgomery earlier derived a Fokker –;Planck equation for this system, but it contained a divergent integral, which had to be cut-off on physical grounds. This cut-off is compared to the standard cut-off introduced in the two-dimensional unmagnetized Fokker –;Planck equation. In the small plasma parameter limit, it is shown (under the assumption that for large integer n, γn/γn+1 = O(np), with p < 2, where γn = ωn −nΩ. with ωn the nth. Bernstein mode and Q the electron gyro frequency) that the Balescu-Lenard collision term is zero in the long time average limit if one considers only two-body interactions. The energy transfer from a test particle to an equilibrium plasma is discussed and also shown to be zero in the long time average limit. This supports the unexpected result of zero Balescu-Lenard collision term.

Type
Research Article
Information
Journal of Plasma Physics , Volume 8 , Issue 3 , December 1972 , pp. 357 - 374
Copyright
Copyright © Cambridge University Press 1972

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References

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