Alfven-type wave motion induced by the Hall effect

Journal Article · Fri Dec 01 04:00:00 EST 1989 · Physics of Fluids B: Plasma Physics; (USA)

DOI:https://doi.org/10.1063/1.859047· OSTI ID:5215314

Goodman, M L ^[1]

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1. Advanced Study Program, National Center for Atmospheric Research, P. O. Box 3000, Boulder, Colorado 80307 (US)

The Hall effect is studied as a correction to ideal magnetohydrodynamics (MHD) in the context of how it affects the linear stability of the cylindrical pinch in the simple case of a static, homogeneous equilibrium state. The effects of compressibility and electron pressure are included. The presence of the electron pressure gives rise to an electric field tangent to the boundary of the plasma. This introduces an additional boundary condition in the case of a perfectly conducting plasma boundary. Imposing this boundary condition eliminates the wave solutions presented in this paper. With respect to large radial wavenumber, the accumulation point of the slow magnetoacoustic wave frequency spectrum is changed from its finite value in ideal MHD to infinity by the Hall effect. The Hall effect gives rise to linear waves that do not exist in ideal MHD. Specifically, the Hall effect induces azimuthally symmetric, compressible, Alfven-type wave propagation. The frequency spectrum of these waves is discrete and infinite and is a singular perturbation of the incompressible Alfven wave spectrum in ideal MHD. These Alfven-type waves do not exist if the plasma is incompressible or if {ital H}{equivalent to}{bold K}{center dot}{bold B}=0, where {bold K} is the wave vector of the perturbation and {bold B} is the equilibrium magnetic field.

• OSTI ID: 5215314
• Journal Information: Physics of Fluids B: Plasma Physics; (USA), Journal Name: Physics of Fluids B: Plasma Physics; (USA) Vol. 1:12; ISSN 0899-8221; ISSN PFBPE
• Country of Publication: United States
• Language: English

Related Subjects

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75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ALFVEN WAVES
BOUNDARY CONDITIONS
COMPRESSIBILITY
CONFIGURATION
CORRECTIONS
CYLINDRICAL CONFIGURATION
EQUATIONS
FLUID MECHANICS
HALL EFFECT
HYDRODYNAMICS
HYDROMAGNETIC WAVES
MAGNETOHYDRODYNAMICS
MECHANICAL PROPERTIES
MECHANICS
PINCH DEVICES
PLASMA
PLASMA PRESSURE
THERMONUCLEAR DEVICES