deletions | additions       diff --git a/Figure_ref_fig_force_on_neighbor_shows__.tex b/Figure_ref_fig_force_on_neighbor_shows__.tex  index 3c07cce..cdbafdb 100644  --- a/Figure_ref_fig_force_on_neighbor_shows__.tex  +++ b/Figure_ref_fig_force_on_neighbor_shows__.tex 
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The adiabatic force is recovered for $v \to 0$ with no oscillations as expected.   The maximum value for the force is obtained at the closest distance between $\mathrm{H^+}$ and neighbor $\mathrm{Cu}$ atom.  As the proton moves further away from the Cu $\mathrm{Cu}$  atom, the force decreases significantly and eventually goes to zero. As the velocity increases the position of the maximum value of the force shifts due to the complex structure obtained by the shape of the curves and oscillations are created. These oscillations becomes persistent as the velocity of the proton increases.