deletions | additions       diff --git a/Fig_ref_fig_stopping_power_shows__.tex b/Fig_ref_fig_stopping_power_shows__.tex  index bc35a84..0a97c9f 100644  --- a/Fig_ref_fig_stopping_power_shows__.tex  +++ b/Fig_ref_fig_stopping_power_shows__.tex 
...
It is clear that a larger cell and eventually the inclusion of more core electrons would be necessary to obtain better agreement in this region.  The existence of plasma oscillations is detected in our simulations by persistent charge motion above a certain threshold velocity of $v \simeq 1~\mathrm{a.u.}$.   This plasma oscillations have a dramatic effects in the components forces over individual $\mathrm{Cu}$ atoms near the track of the passing hydrogen (Fig.~\ref{fig:force_on_neighbor}\ref{fig:force_on_neighbor_x_dxn}). (Fig.~\ref{fig:force_on_neighbor}).  This forces persist (and oscillate) even after the proton has passed.   Although experimental values have considerable vertical spread,