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Magnetic domain wall motion is at the heart of new magneto-electronictechnologies and hence the need for a deeper understanding of domain walldynamics in magnetic systems. In this context, numerical simulations usingsimple models can capture the main ingredients responsible for the complexobserved domain wall behavior. We present a scalar-field model for themagnetization dynamics of quasi-two-dimensional systems with a perpendiculareasy axis of magnetization which allows a direct comparison with typicalexperimental protocols, used in polar magneto-optical Kerr effect microscopyexperiments. We show that the thermally activated creep and depinning regimesof domain wall motion can be reached, and the effect of different quencheddisorder implementations can be assessed with the model. In particular, we showthat the depinning field increases with the mean grain size of a Voronoitessellation model for the disorder.

Magnetic domain wall creep and depinning: a scalar field model approach