Abstract
Kinetic formulation for linear mode analysis of low frequency shear Alfven mode in low-β plasma is presented. Slab geometry is used with density, temperature and flow velocity varying in the x -direction, and the magnetic shear produced by parallel current is assumed to be sufficiently weak. Integral equation representation in wavenumber space is used in order to take full account of the finite gyroradius and Landau resonance effects. The general formulas derived are applied to two lons wavelength instabilities by reducing integral equations to differential equations in real space; one is the localized drift-Alfven mode instability caused by current density and the other the Alfven mode instability due to ion velocity shear. For the former case, our analysis shows necessity of kinetic effects for instability to occur; for the latter, the lowest order finite gyroradius effect on the stability criterion is investigated.
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