Limiting velocity of the steady state domain wall motion in the presence of the field normal to the anisotropy axis

The Schlomann and Walker analyses of the steady state domain wall motion have been compared. It is shown that the Schlomann limiting velocity corresponds to the maximum value of the drive field dependence of the domain wall velocity in the Walker´s problem. The generalized Slonczewski´s equations have been used to study the influence of a field normal to the anisotropy axis on the steady state domain wall motion. The dependence of the Schlomann limiting velocity on this field has been obtained and compared with the previously existed dependence. It is shown that the Schlomann limiting velocity is always higher than the Walker critical one and their difference increases with increasing field normal to the anisotropy axis