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Quasineutrality and parallel force balance in kinetic magnetohydrodynamics

Published online by Cambridge University Press:  01 August 2014

J. J. Ramos
J. J. Ramos*
Affiliation:
Plasma Science and Fusion Center, Massachusetts Institute of Technology, Cambridge, MA, USA
*
†Email address for correspondence: ramos@psfc.mit.edu
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Abstract

Kinetic magnetohydrodynamics refers usually to the hybrid fluid and kinetic description of a zero-Larmor-radius collisionless plasma, originally formulated in the classic papers of Kruskal and Oberman (1958) (Kruskal, M. D. and Oberman, C. R. 1958 Phys. Fluids1, 275), Rosenbluth and Rostoker (1959) (Rosenbluth, M. N. and Rostoker, N. 1959 Phys. Fluids2, 23), and Kulsrud (1962) (Kulsrud, R. 1962 Phys. Fluids5, 192). Such a theory is revisited here, as a special limit of the more general description put forward in Ramos (2010, 2011) (Ramos, J. J. 2010 Phys. Plasmas, 17, 082502; Ramos, J. J. 2011 Phys. Plasmas, 18, 102506). The present approach has the advantage of fulfilling the quasineutrality condition and avoiding the redundancy between the fluid and kinetic parallel force balance conditions with a built-in, rigorous account of the parallel electric field, thus affording a clear-cut handling of these issues. At zero-frequency marginal stability, the Rosenbluth–Rostoker fluid closures for the parallel and perpendicular pressures are obtained, in a solution with vanishing parallel electric field and non-zero parallel fluid displacement that satisfies exactly the desired quasineutrality and parallel force balance.

Type
Research Article
Information
Journal of Plasma Physics , Volume 81 , Issue 1 , January 2015 , 905810111
Copyright
Copyright © Cambridge University Press 2014 

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References

REFERENCES

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Lyons, B. C., Jardin, S. C. and Ramos, J. J. 2012 Phys. Plasmas 19, 082515.Google Scholar
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Rosenbluth, M. N. and Rostoker, N. 1959 Phys. Fluids 2, 23.CrossRefGoogle Scholar