The basic linear local theory of the mirror-drift-cone and convective-loss-cone instabilities is extended to include modifications due to strong spatial inhomogeneities (‖∂lnN/∂x‖−1=LN≲rLi), assuming high-frequency perturbations characterized by ωci≪‖ωr+ iγ‖≈ (ωceωci)1/2 and k2yr2Li≫1. The continuous deformation of the convective-loss-cone instability from a regime where maximum growth occurs for k⋅B0≠0 (weak inhomogeneities) to a regime where maximum growth occurs for k⋅B0=0 (strong inhomogeneities) is investigated. Moreover, it is found that the reference dispersion relation for the mirror-drift-cone instability (derived in the weak inhomogeneity limit with r2Li≪L2n) gives a remarkably good (albeit fortuitous) estimate of the linear growth rate even when rLi≳Ln. Finally, we compare several properties of the mirror-drift-cone and convective-loss-cone instabilities (loss-cone ions) with properties of the lower-hybrid-drift and modified-two-stream instabilities (Maxwellian ions).
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Davidson et al. (1977) studied this question.
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