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Jim Fuller edited figures/DipoleEvolProp3/caption.tex
almost 9 years ago
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\label{fig:Prop}
{\bf Top}: Propagation diagram for a $M = 1.6 \, M_\odot$, $R =6.6 \, R_\odot$, $ν_{\rm max} = 120 \, {\rm µHz}$ RGB stellar model with a magnetized core. The red, blue, and green lines are the dipole Lamb frequency $L_1$, the buoyancy frequency $N$, and the magneto-gravity frequency $\omega_{\rm MG}$ (defined in equation \ref{eqn:maggrav}), respectively. Regions are colored by the types of waves they support: the red region is the acoustic wave cavity, the blue region is the magneto-gravity wave cavity, and the green region hosts only Alfven waves. The thick black line is the frequency of maximum power, $\nu_{\rm max}$, for this stellar model. Waves at this frequency behave like acoustic waves near the surface, magneto-gravity waves in the outer core, and Alfven waves in the inner core. Bottom: Critical radial magnetic field strength, $B_c$ (equation \ref{eqn:Bc}) needed to suppress dipole oscillations. $B_c$ has a sharp minimum at the H-burning shell, which determines the minimum field strength $B_{c,{\rm min}}$ for dipole mode suppression.