deletions | additions       diff --git a/We_observe_in_Fig_ref__.tex b/We_observe_in_Fig_ref__.tex  index 0ace28f..ae54588 100644  --- a/We_observe_in_Fig_ref__.tex  +++ b/We_observe_in_Fig_ref__.tex 
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We observe in Fig.~\ref{fig:log_stopping_power} is not as particularly simple.  In order to interpret the results we also calculated the linear response stopping $S_\text{L}(n, v)$ \cite{Lindhard_1964} \cite{Lindhard_1964_book}  based on the Linhard RPA dielectric function $\varepsilon_\text{RPA}$ for different effective densities $\rho$ \cite{Giuliani_2005}. \begin{equation}  S_\text{L}(n, v) = \frac{2 e^2}{\pi v^2} \int_0^\infty \frac{\mathrm{d}k}{k} \int_0^{k v} \mathrm{d}\omega\omega \Im(\varepsilon_\text{RPA}(\rho, k, \omega)^{-1})  \end{equation}