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Asymptotic state of the finite-Larmor-radius guiding-centre plasma

Published online by Cambridge University Press:  13 March 2009

G. Knorr  and
H. L. Pécseli
G. Knorr
Affiliation:
Association Euratom-Risø National Laboratory, Physics Department, Risø, DK-4000 Roskilde, Denmark
H. L. Pécseli
Affiliation:
Association Euratom-Risø National Laboratory, Physics Department, Risø, DK-4000 Roskilde, Denmark
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Abstract

The equilibrium properties of a two-dimensional plasma are examined theoretically, using a model where the finite-Larmor-radius corrections to the simple guiding-centre description are included. The analysis is carried out in a truncated Fourier representation of the resulting equations. This system has three ‘rugged’ quadratic invariants. A canonical-ensemble probability distribution characterized by three temperatures is derived. The resulting partition function is obtained and the equilibrium spectral energy density is calculated. The possibility of negative-temperature states leading to an inverse energy cascade is pointed out.

Type
Research Article
Information
Journal of Plasma Physics , Volume 41 , Issue 1 , February 1989 , pp. 157 - 170
Copyright
Copyright © Cambridge University Press 1989

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