a) Eigenfunctions Vn for a reference model that consists of a loop with constant plasma parameter β and kink speed c. b) Sensitivity kernels Kn for the fractional kink speed perturbation made nondimensional by multiplying by the length scale L. c) Sensitivity kernels for the overdensity. The different line styles correspond to different values of ϵ: solid ϵ = 0, dotted ϵ = −0.01, and dashed ϵ = −0.1. The perturbations induced in the eigenfunctions by buoyancy effects are negligible and nearly invisible. The perturbations to the kernels are more obvious. Note, that the kernels for the overdensity are miniscule in comparison to the wave speed kernels.
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