Linear Analysis of the m=0 Instability for a Visco-resistive Hall MHD Plasma

Journal Article · Thu Jan 05 00:00:00 EST 2006 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.2159387· OSTI ID:20729286

Oliver, B V; Genoni, T C ^[1]; Mehlhorn, T A ^[2]

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1. ATK-Mission Research, Albuquerque, NM 87110 (United States)
2. Sandia National Laboratories, Albuquerque, NM 87185 (United States)

We present a comprehensive analysis of the linear dispersion relation for the axisymmetric (m=0) compressible interchange instability of Bennett equilibria in a visco-resistive, Hall MHD plasma. The full anisotropic stress tensor with Braginskii viscous coefficients is considered. The eigenvalues are obtained numerically. For small axial mode number, Hall currents enhance the growth rates, whereas in the limit of high mode number the growth rates are suppressed, eventually resulting in wave cutoff, even in the ideal limit. For the visco-resistive plasma the unstable spectra are weakly dependent on the off-diagonal elements of the stress tensor.

• OSTI ID: 20729286
• Journal Information: AIP Conference Proceedings, Vol. 808, Issue 1; Conference: 6. international conference on dense Z-pinches, Oxford (United Kingdom), 25-28 Jul 2005; Other Information: DOI: 10.1063/1.2159387; (c) 2006 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
ANISOTROPY
AXIAL SYMMETRY
DISPERSION RELATIONS
EIGENVALUES
ELECTRIC CURRENTS
FLUTE INSTABILITY
LONGITUDINAL PINCH
MAGNETOHYDRODYNAMICS
NUMERICAL ANALYSIS
PLASMA
PLASMA SIMULATION
STRESSES
TENSORS