Wave mixing of magnetohydrodynamic waves
- Lunar and Planetary Laboratory, University of Arizona, Tuscon, Arizona 85721 (United States)
- Bartol Research Institute, University of Delaware, Newark, Delaware 19716 (United States)
A formalism for magnetohydrodynamic (MHD) wave interactions in one Cartesian space dimension is developed using multiple scales perturbation methods. In particular, wave mixing equations describing the mutual interaction of Alfv{acute e}n, magnetoacoustic, and entropy waves due to large scale gradients in the background flow are obtained. The waves are assumed to propagate along the {ital x}-axis of a rectangular, Cartesian coordinate system OXYZ, and the background flow depends on {ital x} and time {ital t}. Equations are obtained for both the strictly hyperbolic case, where all the wave speeds are distinct, and also for the degenerate eigenvalue cases {bold k}{parallel}{bold B} and {bold k}{perpendicular}{bold B}, where {bold k} is the wave vector, and {bold B} is the background magnetic field induction. The Alfv{acute e}n waves are modified by their interaction with the magnetoacoustic and entropy waves due to wave mixing, only if the background flow has non-zero field aligned vorticity ({bold B}{center_dot}{nabla}{times}{bold u}{ne}0) and/or non-zero field aligned electric current ({bold B}{center_dot}{nabla}{times}{bold B}{ne}0). The relation of these equations to the well known wave mixing equations for Alfv{acute e}n waves, and Alfv{acute e}nic turbulence in the Solar Wind, and equations for the wave mixing of sound waves and entropy waves in gas dynamics are discussed. {copyright} {ital 1999 American Institute of Physics.}
- Sponsoring Organization:
- USDOE
- OSTI ID:
- 679155
- Report Number(s):
- CONF-9810104-; ISSN 0094-243X; TRN: 99:009349
- Journal Information:
- AIP Conference Proceedings, Vol. 471, Issue 1; Conference: 9. international conference on solar wind, Nantucket, MA (United States), 5-9 Oct 1998; Other Information: PBD: Jun 1999
- Country of Publication:
- United States
- Language:
- English
Similar Records
Alfv{acute e}n ion{endash}ion hybrid wave heating in the Phaedrus-T tokamak
Fluid models for kinetic effects on coherent nonlinear Alfv{acute e}n waves. I. Fundamental theory