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Edwin E. Quashie edited section_Conclusion_Finally_we_point__.tex
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Finally, we point out that the investigation of the low velocity limit of stopping power is important for the understanding of the non-adiabatic coupling between ions and electrons \cite{Caro_2015} and also for modeling dissipative molecular dynamics \cite{Caro_1989,Duffy_2006}.
In simulations of radiation events the final state is precisely controlled by dissipation in the late stages when ions move slowly but still non-adibatically \cite{Zarkadoula_2014}.
In summary, in this
Letter paper we have reported the $S_\text{e}$ of protons in copper in a very wide range of velocities.
TDDFT-based electron dynamics is capable of capturing most of the physics in the different ranges, starting from non-linear screening effects, electron-hole excitations and production of plasmons.
We disentangled channeling and off-channeling effects and observe a collapse of the two curves at low velocities; and identified five regimes
i) the linear $\mathrm{s}$-only ($0.02-0.07~\mathrm{a.u.}$),