Finite ion Larmor radius modifications to the firehose and mirror instabilities

Physics – Plasma Physics

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Collisionless Plasmas, Ionic Mobility, Larmor Radius, Magnetohydrodynamic Stability, Plasma Decay, Cosmic Plasma, Hydrogen Plasma, Magnetohydrodynamic Waves, Maxwell Equation, Vlasov Equations

Scientific paper

The effect of finite ion Larmor radius on the hydromagnetic growth rates of the firehose and mirror instabilities is examined by perturbing an initially uniform infinite collisionless magnetized plasma without restricting the direction of the wave vector. A marginal stability analysis is performed on the basis of the full Maxwell equation with equivalent dielectric-tensor elements derived from the linearized Vlasov equation. The growth rates of both instabilities are computed in the hydrodynamic limit, and the dielectric-tensor elements are given to an accuracy sufficient to allow their use when considering the effects of finite ion Larmor radius. The modifications to the growth rates of both instabilities caused by the inclusion of effects of finite ion Larmor radius are calculated. It is found that as the wavelength decreases, the growth rate falls to zero at wavelengths greater than the ion Larmor radius for both instabilities.

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