We propose an analytical expression of the magnetization reversal in u
ltrathin magnetic layers, modeling the after effects, and taking into
account both domain-wall motion and nucleation processes. We apply our
modelization to quantify the dynamical properties of the magnetizatio
n of MoS2/Au/Co/Au sandwiches: we define the Barkhausen volume, the wa
ll velocity, and the nucleation rate depending an the applied magnetic
field and the radius and the density of nuclei sites on the surface o
f the sample. Finally, we investigate an original behavior of the swit
ch of the magnetization in high dynamic regime. An attempt is mode to
explain the divergence of the coercive field in large field variation
rates (dH/dt), by introducing both the thermally activated and the vis
cous processes driving the wall motion.