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Linear and nonlinear coupled Alfvén-Varma modes

Published online by Cambridge University Press:  13 March 2009

P. K. Shukla  and
L. Stenflo
P. K. Shukla
Affiliation:
Fakultät für Physik und Astronomie der Ruhr-Universität Bochum, D-4630 Bochum l, Federal Republic of Germany
L. Stenflo
Affiliation:
Department of Plasma Physics, Umeå University, S-90187 Umeå, Sweden
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Abstract

Starting from the particle continuity equation and the guiding-centre model for the particle velocity, using an equation of state in the form of the conservation of the ion magnetic moment, as well as Ohm's and Ampère's laws, a set of four coupled nonlinear equations has been derived to investigate the properties of magnetic turbulence in plasmas with hot ions and cold electrons. It is shown that finite-β effects can cause a linear coupling between the Alfvén and Varma modes in a weakly non-uniform plasma immersed in an inhomogeneous magnetic field. In the nonlinear regime the stationary solutions of the four field equations are found to be double vortices. Implications of our results for enhanced magnetic fluctuation and anomalous transport in a mirror reactor are pointed out.

Type
Research Article
Information
Journal of Plasma Physics , Volume 40 , Issue 3 , December 1988 , pp. 473 - 479
Copyright
Copyright © Cambridge University Press 1988

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References

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