deletions | additions       diff --git a/In_the_low_velocity_cases__.tex b/In_the_low_velocity_cases__.tex  index d05e192..cef3e08 100644  --- a/In_the_low_velocity_cases__.tex  +++ b/In_the_low_velocity_cases__.tex 
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In the low velocity cases extracting a slope becomes more challenging,   first because a longer time simulation is required to sample the crystalline structure and second because the natural oscillations associated with the crystal periodicity becomes relatively larger.   For the channeling cases, we subtract the adiabatic energy from time-dependent energy and we do perform  an oscillatory fit to the resulting curve. Fig. \ref{fig:fit_graph} explains how the slopes are evaluated in these cases.   For higher velocities, a linear fit alone is enough to obtain reasonable values with small relative errors.%