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Alfredo A. Correa edited Recently_from_a_phenomenological_point__.tex
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Recently, from a phenomenological point of view, Uddin \emph{et al.} \cite{Alfaz_Uddin_2013} have calculated $S_\text{e}$ for protons, $\alpha$ and $\mathrm{He}$ for various media with atomic number $Z=2$ to $100$ using realistic electron density with four fitted parameters and obtained $\sim 15\%$ agreement with the \textsc{Srim} data \cite{Ziegler_2010}.
Using a single formula with fewer parameters Haque \emph{et al.} \cite{Haque_2015} have reported proton stopping power with encouraging results.
\textsc{Srim} \cite{Ziegler_2010} provides both fitted model for electronic stopping as well as a large set of experimental points, at low velocities both experiment and the fitted models becomes more scarce.
The development of time dependent density functional theory (TDDFT) \cite{Runge_1984} enhanced the study of time dependent many body problems.
It is an attractive method because it is both self-consistency and non-perturbative way \cite{Kohn_1965} and allowed for an atomistic \emph{ab initio} description at a reasonable computational cost for simulation cells below a few hundred atoms.
Alternatively, time dependent tight-binding have been proposed as well to overcome some size limitations \cite{Mason_2012} at the price of additional approximations.