deletions | additions       diff --git a/section_Discussion_A_logarithmic_version__.tex b/section_Discussion_A_logarithmic_version__.tex  index 7469593..ef155c2 100644  --- a/section_Discussion_A_logarithmic_version__.tex  +++ b/section_Discussion_A_logarithmic_version__.tex 
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We observe a $S_\text{e}$ kink around $v\sim 0.07~\mathrm{a.u.}$ due to a mixture of $\mathrm{d}$-band in the electronic density of states.  Similarly, according to this analysis of our new results, for $v \leq 0.07~\mathrm{a.u.}$, are primarily due to $\mathrm{s}$-band electrons within linear response.   In the simulation we directly show a crossover region between the two linear regimes, and we find that the friction is in direct relation to the velocity with a power law with exponent $1.48 \pm 0.02$.  (In linear scale kinks are represented by changes of curvature, here logarithmic scale is more appropriate to discuss the physics.)