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Alfredo A. Correa edited We_observe_in_Fig_ref__.tex
over 8 years ago
Commit id: 5a5a3eb7eb2736730fb6f15e2cb4318226ce946a
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We observe in Fig.~\ref{fig:log_stopping_power}
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 the Linhard RPA dielectric function $\varepsilon_\text{RPA}$ for different effective densities $\rho$ of the homogeneous electron gas\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\left(\frac{1}{\varepsilon_\text{RPA}(\rho, k, \omega)}\right)