Hall effect on magnetohydrodynamic instabilities at an elliptic magnetic stagnation line

Journal Article · Mon Jun 01 04:00:00 EDT 1987 · Phys. Fluids; (United States)

DOI:https://doi.org/10.1063/1.866238· OSTI ID:6343377

Spies, G O; Faghihi, M

To answer the question whether the Hall effect removes the unphysical feature of ideal magnetohydrodynamics of predicting small wavelength kink instabilities at any elliptic magnetic stagnation line, a normal mode analysis is performed of the motion of an incompressible Hall fluid about cylindrical Z-pinch equilibria with circular cross sections. The eigenvalue loci in the complex frequency plane are derived for the equilibrium with constant current density. Every particular mode becomes stable as the Hall parameter exceeds a critical value. This value, however, depends on the mode such that it increases to infinity as the ideal growth rate decreases to zero, implying that there always remains an infinite number of slowly growing instabilities. Correspondingly, the stability criterion for equilibria with arbitrary current distributions is independent of the Hall parameter.

• Research Organization: Max-Planck-Institut fuer Plasmaphysik, D-8046 Garching bei Muenchen, Federal Republic of Germany
• OSTI ID: 6343377
• Journal Information: Phys. Fluids; (United States), Journal Name: Phys. Fluids; (United States) Vol. 30:6; ISSN PFLDA
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
700107* -- Fusion Energy-- Plasma Research-- Instabilities
CONFIGURATION
CONFINEMENT
CYLINDRICAL CONFIGURATION
EIGENVALUES
ELLIPTICAL CONFIGURATION
EQUILIBRIUM
FLUID MECHANICS
HALL EFFECT
HYDRODYNAMICS
INSTABILITY
INSTABILITY GROWTH RATES
KINK INSTABILITY
LINEAR PINCH DEVICES
LINEAR Z PINCH DEVICES
MAGNETIC FIELDS
MAGNETOHYDRODYNAMICS
MECHANICS
NORMAL-MODE ANALYSIS
OPEN PLASMA DEVICES
PINCH DEVICES
PLASMA
PLASMA CONFINEMENT
PLASMA INSTABILITY
PLASMA MACROINSTABILITIES
STAGNATION
THERMONUCLEAR DEVICES