Ellipticity of axisymmetric equilibria with flow and pressure anisotropy in single-fluid and Hall magnetohydrodynamics | Zendy

Atsushi Ito | Zendy; J. J. Ramos | Zendy; N. Nakajima | Zendy

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Ellipticity of axisymmetric equilibria with flow and pressure anisotropy in single-fluid and Hall magnetohydrodynamics

Author(s) -

Atsushi Ito,

J. J. Ramos,

N. Nakajima

Publication year - 2007

Publication title -

physics of plasmas

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.75

H-Index - 160

eISSN - 1089-7674

pISSN - 1070-664X

DOI - 10.1063/1.2741391

Subject(s) - physics , magnetohydrodynamics , magnetohydrodynamic drive , adiabatic process , dispersion relation , anisotropy , mechanics , classical mechanics , rotational symmetry , heat flux , flow (mathematics) , fluid dynamics , plasma , thermodynamics , heat transfer , condensed matter physics , quantum mechanics

The ellipticity criteria for the partial differential equations of axisymmetric single-fluid and Hall magnetohydrodynamic (MHD) equilibria with flow and pressure anisotropy are investigated. The MHD systems are closed with cold ions and electron pressures derived from their parallel heat flux equations, a closure that reproduces the corresponding kinetic dispersion relation. In the single-fluid model, which differs from the double-adiabatic Chew?Goldberger?Low model, it is verified that the elliptic region boundaries occur at poloidal flow velocities equal to wave velocities from the kinetic dispersion relation. For Hall magnetohydrodynamics, a set of anisotropic-pressure equilibrium equations is derived and an ellipticity condition corresponding to a poloidal flow velocity slightly smaller than the ion sound velocity is obtained

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