Mobility of domain walls with a two-dimensional distribution of magnetization in magnetic films with in-plane anisotropy

The mobility of asymmetric vortex-like domain walls in magnetically uniaxial films with in-plane anisotropy has been determined as a function of the material parameters and film thickness by numerically solving the Landau-Lifshitz equation with the exact inclusion of the main interactions, in particuar, the dipole-dipole interactions. The data obtained have been compared with those available for one-dimensional models of domain walls, and it has been established that they substantially differ both qualitatively and quantitatively. It has been demonstrated that the two-dimensional models lead to a considerably better description of the experimental data on the domain-wall mobility.