Cascade properties of shear Alfven wave turbulence

Journal Article · Thu Aug 01 04:00:00 EDT 1985 · Phys. Fluids; (United States)

OSTI ID:5596062

Bondeson, A

Nonlinear three-wave interactions of linear normal modes are investigated for two-dimensional incompressible magnetohydrodynamics and the weakly three-dimensional Strauss equations in the case where a strong uniform background field B/sub 0/ is present. In both systems the only resonant interaction affecting Alfven waves is caused by the shear of the background field plus the zero frequency (..omega.. = k x B/sub 0/ = 0) components of the perturbation. It is shown that the Alfven waves are cascaded in wavenumber space by a mechanism equivalent to the resonant absorption at the Alfven resonance. For large wavenumbers perpendicular to B/sub 0/, the cascade is described by Hamilton's ray equations, dk/dt = -partial..omega../partialr, where ..omega.. includes the effects of the zero frequency perturbations.

• Research Organization: Institute for Electromagnetic Field Theory and EURATOM Fusion Research (SERC), Chalmers University of Technology, S-41296 Goeteborg, Sweden and Institute for Theoretical Physics, University of California, Santa Barbara, California 93106
• OSTI ID: 5596062
• Journal Information: Phys. Fluids; (United States), Journal Name: Phys. Fluids; (United States) Vol. 28:8; ISSN PFLDA
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
700107 -- Fusion Energy-- Plasma Research-- Instabilities
700108* -- Fusion Energy-- Plasma Research-- Wave Phenomena
ALFVEN WAVES
CLOSED PLASMA DEVICES
FLUID MECHANICS
HYDRODYNAMICS
HYDROMAGNETIC WAVES
MAGNETOHYDRODYNAMICS
MECHANICS
NONLINEAR PROBLEMS
PLASMA
RESONANCE
THERMONUCLEAR DEVICES
TOKAMAK DEVICES
TURBULENCE
TWO-DIMENSIONAL CALCULATIONS