deletions | additions       diff --git a/A_logarithmic_version_of_the__.tex b/A_logarithmic_version_of_the__.tex  index 174ef75..2d52e69 100644  --- a/A_logarithmic_version_of_the__.tex  +++ b/A_logarithmic_version_of_the__.tex 
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\section{Discussion}  A logarithmic version of the findings of Fig. \ref{fig:stopping_power} is depicted in Fig.~\ref{fig:log_stopping_power}, where we have observed that the resulting curve 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_book} based on a simple Lindhard RPA dielectric function $\varepsilon_\text{RPA}$ for different effective densities $n$ of the homogeneous electron gas~\cite{Giuliani_2005}  \begin{equation}