The Drift Velocity of a Magnet

What is the drift velocity of a magnet under equilibrium? A quick and safe answer is zero. The net velocity of the magnetic lattice is zero. But what the Ampere-Maxwell's relation points out is that there exists a curl to an electron field when the magnetic force is said to exist.This relationship between force, on particles, and the net flow of electrons is also less obvious in Lorentz's equation relating the movement of a particle in the presence of curling electrons.

There are particle accelerations and velocities at play in electromagnetics that have been described in previous posts. I'd like to explore drift velocity and electron acceleration with respect to magnetic phenomena in this post. Under what conditions do we expect to observe accelerated electrons while dealing with magnets?

The Ampere-Maxwell's relation shows us half of what goes on when electrons start moving around. Because of effects that generally have to do with Bohr's model of the atom, electrons seem to eddy around the nucleus of either one atom or many atoms. This gives a field of traveling electrons a drift that can curl. The drift angular velocity is what produces the magnetic field by the Ampere-Maxwell relation. This mechanism by which this happens is explored in other posts. My focus is on the velocity of electron flow, the flux of the flow and the curl of the electron flow.

In a given current carrying wire, the drift velocity is radically slower than the root mean squared velocity of the electrons. The electrons, therefore, can carry information or power radically faster than the drift velocity. This is good because the drift velocity can be quite slow. The current in a conducting medium is always going to have a telegrapher parasitic profile. The shunt conductance and capacitance and the series inductance are all caused by electrons moving in the dielectric (maybe in some cases curling in the conductor itself). An induced curling field, as electrons eddy out in the dielectric is interesting. It would appear that the field would have a drift angular velocity under steady-state Ampere-Maxwell conditions. When an electromotive force is setting up a circuit, di/dt, and charge is accelerating the 'magnetic' or electron curl field would accelerate as well.

Imagine that the curl is not just localized to a small space but the curl of an electron field is continuous throughout a given three-space around a conducting medium. The acceleration and drift velocity of a rotating point charge starts to take on a complicated pattern.

The Faraday-Maxwell equation shows us how circuits behave under accelerating conditions. When a rotating body with an angular velocity swings through a curling field of electrons there will be sinusoidal acceleration and velocity. This acceleration leads to the electromotive force in generators. This force is generated and take direct advantage of the angular drift velocity of electrons around a permanent magnet or an electrified coil.