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Physics of Plasmas / Volume 12 / Issue 6 / ARTICLES / Basic Plasma Phenomena, Waves, Instabilities

Phys. Plasmas 12, 062117 (2005); http://dx.doi.org/10.1063/1.1939947 (9 pages)

A magnetohydrodynamic model for quantum plasmas

F. Haas

Universidade do Vale do Rio dos Sinos—UNISINOS, Avenue Unisinos, 950 93022-000 São Leopoldo, Rio Grande do Sul, Brazil

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(Received 27 February 2005; accepted 3 May 2005; published online 9 June 2005)

The quantum hydrodynamic model for charged particle systems is extended to the cases of nonzero magnetic fields. In this way, quantum corrections to magnetohydrodynamics are obtained starting from the quantum hydrodynamical model with magnetic fields. The importance of the quantum corrections is described by a parameter H which can be significant in dense astrophysical plasmas. The quantum magnetohydrodynamic model is analyzed in the infinite conductivity limit. The conditions for equilibrium in ideal quantum magnetohydrodynamics are established. Translationally invariant exact equilibrium solutions are obtained in the case of the ideal quantum magnetohydrodynamic model.

© 2005 American Institute of Physics

Article Outline

  1. INTRODUCTION
  2. QUANTUM HYDRODYNAMICS IN THE PRESENCE OF MAGNETIC FIELDS
  3. QUANTUM MAGNETOHYDRODYNAMIC MODEL
  4. SIMPLIFIED AND IDEAL QUANTUM MAGNETOHYDRODYNAMIC EQUATIONS
  5. QUANTUM IDEAL MAGNETOSTATIC EQUILIBRIUM
    1. An explicit exact solution
  6. CONCLUSION

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KEYWORDS and PACS

Keywords

plasma magnetohydrodynamics, quantum theory, plasma transport processes

PACS

  • 52.30.Cv

    Magnetohydrodynamics (including electron magnetohydrodynamics)

  • 52.25.Fi

    Transport properties

  • 03.65.Ge

    Solutions of wave equations: bound states

ARTICLE DATA

Digital Object Identifier
http://dx.doi.org/10.1063/1.1939947

PUBLICATION DATA

ISSN

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

Publisher

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

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