Spectrally selective instability of mixed poloidal-toroidal magnetic fields in radiative stellar interiors

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Table 1.

Comparison between spherical and cylindrical wavenumbers.

m	${\tilde{k}}_{r}$ $Mathematical equation: $ \tilde{k}_r $$	$\| {\tilde{k}}_{z} \|$ $Mathematical equation: $ \|\tilde{k}_z\| $$
1	19	20
2	28	30
4	49	50
10	112	110

Notes. The second column shows the radial wavenumbers ${\tilde{k}}_{r}$ $Mathematical equation: $ \tilde{k}_r $$ of the most unstable eigenmodes for μ₀ = 0.1 and different values of the azimuthal wavenumber m (first column) calculated close to the pole (θ = 10°) and obtained through a Fourier analysis of the eigenmodes calculated in Section 3. The third column lists the absolute values of the vertical wavenumbers ${\tilde{k}}_{z}$ $Mathematical equation: $ \tilde{k}_z $$ evaluated with the set of equations in cylindrical coordinates.

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