A tearing mode energy principle for an axisymmetric finite beta plasma

Journal Article · Mon Jan 01 04:00:00 EST 1990 · Physics of Fluids B; (USA)

DOI:https://doi.org/10.1063/1.859492· OSTI ID:7101917

Chu, M S; Chance, M S; Greene, J M; Jensen, T H ^[1]

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1. General Atomics, San Diego, California 92138-5608 (US)

A self-adjoint, gauge invariant stability functional {delta}{ital W}{sub TG} for determination of a sufficient condition of tearing mode stability is obtained for a plasma with arbitrary current and pressure profiles. The plasma is stable if there is no free energy available to support energy flux into the singular layer. The pressure gradient near the singular layer is found to be stabilizing. The tearing mode energy drive is extracted by casting the problem into its nonlinear context, demanding that both large and small solutions be continuous across the singular layer.

• OSTI ID: 7101917
• Journal Information: Physics of Fluids B; (USA), Journal Name: Physics of Fluids B; (USA) Vol. 2:1; ISSN 0899-8221; ISSN PFBPE
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
700107* -- Fusion Energy-- Plasma Research-- Instabilities
BETA RATIO
CURRENTS
ELECTRIC CURRENTS
ENERGY
EQUILIBRIUM
FLUID MECHANICS
FREE ENERGY
FUNCTIONALS
FUNCTIONS
GAUGE INVARIANCE
HYDRODYNAMICS
INSTABILITY
INVARIANCE PRINCIPLES
LAYERS
MAGNETOHYDRODYNAMICS
MECHANICS
NONLINEAR PROBLEMS
PHYSICAL PROPERTIES
PLASMA
PLASMA INSTABILITY
PLASMA MACROINSTABILITIES
PLASMA PRESSURE
PRESSURE GRADIENTS
SINGULARITY
STABILITY
SYMMETRY
TEARING INSTABILITY
THERMODYNAMIC PROPERTIES