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In summary, in this paper we have reported the electronic stopping power of protons in copper in a very wide range of velocities.  TDDFT-based electron dynamics is able to capture most of the physics in the different ranges, starting from non-linear screening effects, electron-hole excitations and production of plasmons.   We disentangled channeling and off-channeling effects and find a collapse of the two curves at low velocities and identified five regimes  i) the linear s-only ($0.02-0.1~\mathrm{a.u.}$), ii) linear s+d ($0.3-1~\mathrm{a.u.}$), iii) crossover with $1.5$-power law ($0.1-0.3~\mathrm{a.u.}$), iv) plasmon-like (v ($v  > 1~\mathrm{a.u.}) 1~\mathrm{a.u.}$)  and v) what is possibly a non-linear screening regime at $v < 0.02~\mathrm{a.u.}$. This is a further illustration that the electronic stopping in general does not have a simple behavior in the limit $v\to 0$, and that band and bound effects dominate this behavior.