deletions | additions       diff --git a/section_Conclusion_In_this_paper__.tex b/section_Conclusion_In_this_paper__.tex  index 457e483..8ed5549 100644  --- a/section_Conclusion_In_this_paper__.tex  +++ b/section_Conclusion_In_this_paper__.tex 
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\section{Conclusion}  Finally we point out that the investigation of the low velocity limit of stopping is important for the understanding the non-adiabatic coupling between ions and electrons \cite{Caro_2015} and also for modeling dissipative molecular dynamics \cite{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.  In summary, in  this paper we have  reported the electronic stopping power of protons in copper. We find that (for channeling) trajectories the electronic stopping power decreases faster than linearly and it becomes comparable to the nuclear stopping according copper in a very wide range of velocities.  TDDFT-based electron dynamics is able  to reported \textsc{Srim} estimates. At capture most of  the same time, some features related to band structure appear 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 find a collapse of the two curves at  low velocity regime, this is in contrast to velocities and identified five regimes  i)  the simpler case of Aluminum. It linear s-only ($0.02-0.1~\mathrm{a.u.}$), ii) linear s+d ($0.3-1~\mathrm{a.u.}$), iii) crossover with $1.5$-power law ($0.1-0.3~\mathrm{a.u.}$), iv) plasmon-like (v > 1~\mathrm{a.u.}) and v) what  is observed that possibly a non-linear screening regime  atlow  $v < 0.1~\mathrm{a.u.}$ only $s$-electrons in copper participate and above $0.3~\mathrm{a.u.}$ the $11$ electrons ($d + s$) participate. We also found 0.02~\mathrm{a.u.}$.   This is a further illustration  that $0.1 < v < 0.3~\mathrm{a.u.}$ our $S_\text{e}$ satisfies the electronic stopping in general does not have  a simple power law, $\alpha v^{1.455}$. behavior in the limit $v\to 0$, and that band and bound effects dominate this behavior.