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The unbounded two-dimensional guiding-centre plasma

Published online by Cambridge University Press:  13 March 2009

Michael K. -H. Kiessling
Michael K. -H. Kiessling
Affiliation:
Institut für Theoretische Weltraumn und Astrophysik, Ruhr-Universität, D-44780 Bochum, Germany
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Abstract

The thermal mean-field equilibrium of a translation-invariant, unbounded one- component guiding-centre plasma is studied by analytical techniques. A variational principle is constructed. It is shown that only radial symmetric, decreasing density profiles occur. Prescribing the total number of gyro centres N ∈ (0, ∞), the energy E ∈ (E0, ∞) and the canonical angular momentum M ∈ (0, ∞]) uniquely determines a profile. Metastable or unstable profiles do not exist. A simple algebraic relation between N, M, the guiding-centre temperature β−1 and the characteristic Larmor frequency ω is derived. This explains Williamson's computer-based observations.

Type
Research Article
Information
Journal of Plasma Physics , Volume 54 , Issue 1 , August 1995 , pp. 11 - 29
Copyright
Copyright © Cambridge University Press 1995

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