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Fig. 5

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Normalized frequency λ = ω/2Ω0 for four different values of ϵ (10, 100, 1000, 10 000). Here λ and ϵ are shown on a logarithmic scale. The blue, red, green, and yellow asterisks (circles) correspond to the positive (negative) solutions of dispersion relation Eq. (36) for the n = 1, n = 2, n = 3, and n = 4 harmonics, respectively. Dashed lines correspond to λ = ϵ − 1/2 slope. Here the ratio of Alfvén to surface speed α = vA/2Ω0R0 equals ϵ − 1/2 as assumed in the derivation of Eq. (27).

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