this is for holding javascript data
Jim Fuller edited subsection_Mode_Visibility_Here_we__.tex
almost 9 years ago
Commit id: 2f9973b76b1c22824e8d46cbc5d737468e7e785e
deletions | additions
diff --git a/subsection_Mode_Visibility_Here_we__.tex b/subsection_Mode_Visibility_Here_we__.tex
index 8ceb3da..514cef0 100644
--- a/subsection_Mode_Visibility_Here_we__.tex
+++ b/subsection_Mode_Visibility_Here_we__.tex
...
Modes suppressed via the magnetic greenhouse effect have an extra source of damping determined by the rate at which energy leaks through the evanescent region separating the acoustic cavity from the g mode cavity. For suppressed modes, we assume that any mode energy which leaks into the g mode cavity is completely lost via the magnetic greenhouse effect. Given some mode energy contained within the acoustic cavity, $E_{\rm ac}$, the rate at which mode energy leaks into the core is
\begin{equation}
\dot{E}_{\rm leak} =
E_{\rm ac} \frac{T^2}{2 \frac{E_{\rm ac}}{t_{\rm leak}} ,
\end{equation}
{\bf where $t_{\rm leak}$ is the time scale on which mode energy leaks into the core. As explained in the text, the energy leakage time scale is}
\begin{equation}
\label{eqn:tleak}
t_{\rm leak} = \frac{2 t_{\rm
cross}} cross}}{T^2} \, ,
\end{equation}
where $T$ is the transmission coefficient is
\begin{equation}
...