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Abstract

It is well known that in ideal magnetohydrodynamics there is a continuous spectrum of real frequencies associated with a singularity of the shear Alfven waves on the surface kappa nu-ALPHA = omega. 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 kappa nu-ALPHA = 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 nu**1/3-. Collisions also remove the new continuum of the full gyroradius model leaving discrete modes whose frequency tends to zero as (log nu)**-1. Collisionless Landau damping has a similar effect.

Additional information

Authors: CONOR J W, CULHAM LABORATORY, ABINGDON (UK);INSTITUTE FOR ADVANCED STUDIES, PRINCETON, NEW JERSEY AND CULHAM LABORATORY, ABINGDON (UK);TANG W M, CULHAM LABORATORY, ABINGDON (UK);INSTITUTE FOR ADVANCED STUDIES, PRINCETON, NEW JERSEY AND CULHAM LABORATORY, ABINGDON (UK);TAYLOR J B CULHAM LABORATORY, ABINGDON (UK), CULHAM LABORATORY, ABINGDON (UK);INSTITUTE FOR ADVANCED STUDIES, PRINCETON, NEW JERSEY AND CULHAM LABORATORY, ABINGDON (UK);INSTITUTE FOR ADVANCED STUDIES, PRINCETON, NEW JERSEY AND CULHAM LABORATORY, ABINGDON (UK), CULHAM LABORATORY, ABINGDON (UK);INSTITUTE FOR ADVANCED STUDIES, PRINCETON, NEW JERSEY AND CULHAM LABORATORY, ABINGDON (UK)
Bibliographic Reference: PHYSICS OF FLUIDS, VOL. 26 (1983), NO. 1, PP. 158-163
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