Jim Fuller edited section_Magneto_Gravity_Waves_In__.tex  about 9 years ago

Commit id: 6c2701330c51ec6c7041b846a8a7fdc68807a058

deletions | additions      

       

\omega_{MG} = \sqrt{2 v_A N k_\perp} \, .  \end{equation}  In a magnetized red giant core, both $N$ and $v_A$ will typically increase from the exterior of the radiative zone inward toward the hydrogen burning shell. Figure \ref{Fig:cartoon} \ref{fig:cartoon}  illustrates the general properties of waves that produce solar-like oscillations in red giants. In stars with large enough field strengths to satisfy equation \ref{eqn:vamin} somewhere in their core, incoming gravity waves will become evanescent where $\omega=\omega_{\rm MG}$ see Figure \ref{fig:Prop}). At this point, the waves must either reflect or be transmitted into the strongly magnetized region as Alfven waves. In both cases, the waves will be prevented from returning to the surface of the star to be observed as solar-like oscillations.