Yeah, it's actually a little weirder. The electrons are actually delocalized with their positions occupying essentially the entirety the wire. The perceived "flow of current" is actually a net motion of charge seen at the terminals. So, the electrons are more like the streamlines you see in a river current than the particles of water themselves.
BTW, electron velocities are close to the speed of light in both DC and AC conditions. There are some drag and scattering effects in some metals, depending on grain structure, the details of the outer valence shells, and phonon interactions. Phonons are just thermal vibrations in the metal crystal structure. Sorry if that sounds like Star Wars, but it isn't.
I believe Jim's reference to polarity definition on the coil terminals for the driver is due to the fact that coils store energy; such that the current flow lags the voltage gradient by 1/4 of the AC cycle. That behavior makes the concept of polarity arguable from different perspectives; even though the behavior is what it is. In other words, semantics.