A primitive kinetic-fluid model for quasi-parallel propagating magnetohydrodynamic waves

Journal Article · Mon Jul 15 00:00:00 EDT 2013 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.4816809· OSTI ID:22227934

Nariyuki, Y. ^[1]; Saito, S. ^[2]; Umeda, T. ^[3]

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1. Faculty of Human Development, University of Toyama, 3190 Toyama City, Toyama 930-8555 (Japan)
2. Graduate School of Science, Nagoya University, Nagoya, Aichi 464-8601 (Japan)
3. Solar-Terrestrial Environment Laboratory, Nagoya University, Nagoya, Aichi 464-8601 (Japan)

The extension and limitation of the existing one-dimensional kinetic-fluid model (Vlasov-MHD (magnetohydrodynamic) model), which has been used to analyze parametric instabilities of parallel propagating Alfvén waves, are discussed. The inconsistency among the given velocity distribution functions in the past studies is resolved through the systematic derivation of the multi-dimensional Vlasov-MHD model. The linear dispersion analysis of the present model indicates that the collisionless damping of the slow modes is adequately evaluated in low beta plasmas, although the deviation between the present model and the full-Vlasov theory increases with increasing plasma beta and increasing propagation angle. This is because the transit-time damping is not correctly evaluated in the present model. It is also shown that the ponderomotive density fluctuations associated with the envelope-modulated quasi-parallel propagating Alfvén waves derived from the present model is not consistent with those derived from the other models such as the Landau-fluid model, except for low beta plasmas. The result indicates the present model would be useful to understand the linear and nonlinear development of the Alfvénic turbulence in the inner heliosphere, whose condition is relatively low beta, while the existing model and the present model are insufficient to discuss the parametric instabilities of Alfvén waves in high beta plasmas and the obliquely propagating waves.

• OSTI ID: 22227934
• Journal Information: Physics of Plasmas, Vol. 20, Issue 7; Other Information: (c) 2013 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 1070-664X
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
79 ASTROPHYSICS
COSMOLOGY AND ASTRONOMY
ALFVEN WAVES
ASTROPHYSICS
BOLTZMANN-VLASOV EQUATION
DAMPING
DISTRIBUTION FUNCTIONS
FLUCTUATIONS
HELIOSPHERE
HIGH-BETA PLASMA
LOW-BETA PLASMA
MAGNETOHYDRODYNAMICS
NONLINEAR PROBLEMS
ONE-DIMENSIONAL CALCULATIONS
PARAMETRIC INSTABILITIES
PLASMA FLUID EQUATIONS
PLASMA WAVES
PONDEROMOTIVE FORCE
SOLAR WIND
TURBULENCE