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Physics of Plasmas / Volume 19 / Issue 1 / LETTERS

Phys. Plasmas 19, 010702 (2012); http://dx.doi.org/10.1063/1.3675853 (4 pages)

A Maxwell formulation for the equations of a plasma

Richard J. Thompson and Trevor M. Moeller

Department of Mechanical, Aerospace & Biomedical Engineering, University of Tennessee Space Institute, Tullahoma, Tennessee 37388, USA

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(Received 29 August 2011; accepted 22 November 2011; published online 11 January 2012)

In light of the analogy between the structure of electrodynamics and fluid dynamics, the fluid equations of motion may be reformulated as a set of Maxwell equations. This analogy has been explored in the literature for incompressible turbulent flow and compressible flow but has not been widely explored in relation to plasmas. This letter introduces the analogous fluid Maxwell equations and formulates a set of Maxwell equations for a plasma in terms of the species canonical vorticity and its cross product with the species velocity. The form of the source terms is presented and the magnetohydrodynamic (MHD) limit restores the typical variety of MHD waves.

© 2012 American Institute of Physics

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KEYWORDS and PACS

Keywords

compressible flow, Maxwell equations, plasma magnetohydrodynamic waves, plasma magnetohydrodynamics, plasma turbulence, vortices

PACS

  • 52.30.Cv

    Magnetohydrodynamics (including electron magnetohydrodynamics)

  • 52.35.Bj

    Magnetohydrodynamic waves (e.g., Alfven waves)

  • 52.35.Ra

    Plasma turbulence

  • 52.35.We

    Plasma vorticity

  • 52.65.Kj

    Magnetohydrodynamic and fluid equation

ARTICLE DATA

Digital Object Identifier
http://dx.doi.org/10.1063/1.3675853

PUBLICATION DATA

ISSN

1070-664X (print)  
1089-7674 (online)

Publisher

$abstract.society.value is a Member of CrossRef American Institute of Physics

For access to fully linked references, you need to log in.
    L. C. Steinhauer and A. Ishida, Phys. Plasmas 5, 2609 (1998)PHPAEN000005000007002609000001.

    L. C. Steinhauer and A. Ishida, Phys. Rev. Lett. 79(18), 3423 (1997).

    H. Marmanis, Phys. Fluids 10, 1428 (1998)PHFLE6000010000006001428000001.

    H. Marmanis, Phys. Fluids 10, 1428 (1998)PHFLE6000010000006001428000001.

    J. G. Logan, Phys. Fluids 5, 868 (1962)PFLDAS000005000007000868000001.


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