deletions | additions       diff --git a/Figure_ref_fig_energy_distance_shows__.tex b/Figure_ref_fig_energy_distance_shows__.tex  index 6bdb437..62f97ec 100644  --- a/Figure_ref_fig_energy_distance_shows__.tex  +++ b/Figure_ref_fig_energy_distance_shows__.tex 
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Figure \ref{fig:energy_distance} shows the total electronic energy of the system as a function of position at various projectile velocities for the hyper-channeling channeling  case. At lower velocities regime, the energy transfer is rather small which support the adiabatic behavior. But at higher velocities aside Aside  oscillations of the total energy with the position of the projectile, the total energy of the system increases with time. At lower velocities regime, the energy transfer is relatively small approaching the adiabatic behavior.  After the projectile travels some short distance in the crystals ($\sim 5~a_0$) the increase in total energy of the system stabilizes at a steady rate.   Hence a stationary regime is reached and the difference in energy ($\Delta E$) remains constant for corresponding lattice positions of the projectile.   At that stationary state, After this transient,  the $S_\text{e}$ is then extracted from the average slope of the total energy vs. projectile displacement; these represents the energy gained by the target or the energy loss of the projectile.% %