Domain wall propagation in adiabatic regime

The domain wall dynamics in the adiabatic regime has been studied. It is shown that the domain wall velocity in the low-field range (when the domain wall interacts with the distributed defects) satisfy the power law: v=S′(H−H0)β, where H0 is the critical field. The temperature dependence of the power exponent β is treated in terms of the change of the domain wall shape from rigid to flexible one. In addition, the mobility exponent S′ is shown to be field independent and is proportional to the domain wall mobility S in the viscous regime.