Fig. 5.

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Temporal evolution of various azimuthal modes and observed growth rates for the unstratified run at Re = 5 × 104, , and Pm = 1. (a) Toroidal and (b) poloidal magnetic energies of various linearly unstable azimuthal modes m as a function of time. The energies are calculated over the spherical surface at radius r/ro = 0.9. The most unstable linear mode is m = 14. The first subcritical mode observed for both energy components is m = 25. (c) Linear growth rates γ/Ωa of the azimuthal modes 1 ≤ m ≤ 25. The growth rates are calculated by fitting the toroidal (solid line) and poloidal (dashed line) magnetic energy evolution shown in (a,b) during the period t − tpert = 9 − 24. The green and red triangles show, respectively, the most unstable and the critical AMRI modes predicted by the local linear theory and evaluated as explained in the main text.
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