Influence of gyroradius and dissipation on the Alfvén wave continuum
- 1 January 1983
- journal article
- Published by AIP Publishing in Physics of Fluids
- Vol. 26 (1) , 158-163
- https://doi.org/10.1063/1.863995
Abstract
It is well known that in ideal magnetohydrodynamics there is a continuous spectrum of real frequencies associated with a singularity of the shear Alfvén waves on the surface k∥vA=ω. It is also known that the introduction of first-order gyroradius effects eliminates the continuum. In the present work the influence of the full gyroradius response and of dissipation on the continuum is examined. In the absence of dissipation it is first confirmed that if only first-order gyroradius effects are incorporated, the continuum disappears. However, when the full gyroradius response is included, this discrete spectrum vanishes, and a new continuum (associated with singularities at k∥vA=0) appears. The introduction of collisional dissipation removes the original MHD continuum leaving discrete modes whose frequency tends to zero with the collision rate as ν1/3. Collisions also remove the new continuum of the full gyroradius model leaving discrete modes whose frequency tends to zero as (log ν)−1. Collisionless Landau damping has a similar effect.This publication has 3 references indexed in Scilit:
- Collisional shear Alfvén waves in sheared magnetic fieldsPhysics of Fluids, 1981
- Excitation of Alfvén Waves by High-Energy Ions in a TokamakPhysical Review Letters, 1975
- Energy absorption in the continuous spectrum of ideal MHDJournal of Plasma Physics, 1975