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Variational principle for crossed-field devices

Published online by Cambridge University Press:  01 June 1997

D. J. KAUP  and
GARY E. THOMAS
D. J. KAUP
Affiliation:
Institute for Nonlinear Studies and Departments of Physics and Mathematics, Clarkson University, Potsdam, NY 13699-5815, USA
GARY E. THOMAS
Affiliation:
Communications & Power Industries, 150 Sohier Road Beverly, Massachusetts 01915, USA
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Abstract

We present a Rayleigh–Ritz variational model of the electron sheath in crossed-field devices. Using laminar layer orbits, this model predicts equilibria in agreement with the classical Brillouin model. Other predictions include the existence of existence of non-classical, stable equilibria as well as limit cycles. This variational model also predicts the existence of a stable propagating diocotron mode, which is absent from the Brillouin model but is present in the double-box model of Kaup and Thomas. Comparisons of these results with those of the cold-fluid theory are discussed.

Type
Research Article
Information
Journal of Plasma Physics , Volume 57 , Issue 4 , June 1997 , pp. 765 - 784
Copyright
1997 Cambridge University Press

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