deletions | additions       diff --git a/Fig_ref_fig_force_on_neighbor_shows__.tex b/Fig_ref_fig_force_on_neighbor_shows__.tex  index 223dba2..bb7c950 100644  --- a/Fig_ref_fig_force_on_neighbor_shows__.tex  +++ b/Fig_ref_fig_force_on_neighbor_shows__.tex 
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As the proton moves further from the $\mathrm{Cu}$ atom, the force decreases and eventually reduces to zero.   As the velocity increases the position of the maximum value of the force first shifts and later results in persistent oscillations.  The existence of plasma oscillations is detected in our simulations by persistent charge motion above a certain threshold velocity of $v \simeq 1.0~\mathrm{a.u.}$.   These plasma oscillations affect the components forces over individual $\mathrm{Cu}$ atoms near the track trajectory  of the passing hydrogen (Fig.~\ref{fig:force_on_neighbor}). These forces persist (and oscillate) even after the proton has passed. %These oscillations remain persistent with the increase of projectile velocity.% of the proton increases.%