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Jim Fuller edited Mode Visibility.tex
about 9 years ago
Commit id: 6d63d77e81363994d28b7afadc57eb332d129203
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diff --git a/Mode Visibility.tex b/Mode Visibility.tex
index 5352ed5..7521693 100644
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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.