Jim Fuller edited Mode Visibility.tex  about 9 years ago

Commit id: 6d63d77e81363994d28b7afadc57eb332d129203

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\begin{equation}  t_{\rm cross} = \int^R_{r_2} \frac{dr}{v_s} \, ,  \end{equation}  is the wave crossing time across the acoustic cavity. The suppressed mode is damped by the same mechanisms as the normal mode: in the case of envelope modes for low red-giant branch stars, this damping is created by convective motions near the surface of the star \citep{Dupret_2009}. Then the total damping rate for the suppressed mode is  \begin{equation}  \dot{E}_{\rm out} = E_{\rm ac} \bigg[\gamma_{\rm ac} + \frac{T^2}{2 t_{\rm cross}} \bigg],  \end{equation}  where $\gamma_{\rm ac}$ is the damping rate due to non-adiabatic effects in the acoustic cavity.