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Jim Fuller added Mode Visibility.tex
about 9 years ago
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\subsection{Mode Visibility}
Here we estimate the visibility of modes suppressed via the magnetic greenhouse effect. In the absence of magnetic suppression, each mode receives a stochastic energy input $\dot{E}_{\rm in}$ \cite{Dupret_2009}. At its time-averaged equilibrium amplitude, the energy input and damping rates of the mode are equal, such that
\begin{equation}
\dot{E}_{\rm in} = E_{\alpha} \gamma_\alpha \, ,
\end{equation}
where $E_{\alpha}$ is the energy contained in the mode and $\gamma_\alpha$ is its damping rate.
