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Fig. 1

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a)ωR/ωk and b) ωI/ωk versus νni/ωk for the transverse kink (m = 1) mode with kzR = 0.1, ρi,0/ρi,ex = 3, cie,0/cA,0 = 0.2, and χ = 4. The solid line is the result obtained by numerically solving the dispersion relation in the absence of neutral pressure (Eq. (37)). The symbols are the approximate analytic results in the weak damping approximation (Eqs. (43) and (44)).

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