  An analytical model was developped to describe the current induced DW
dynamics of a Bloch DW in the presence of an external transverse magnetic
field. The model takes into account the DW deformation and the magnetization
tilting in the domain. The model is compared to the results of micromagnetic
simulation and an excellent agreement is obtained. In the steady state regime,
the model shows that the domain tilting does not change the DW mobility. An
external or current induced transverse magnetic field such as the Oersted or
Rashba field can prevent the Walker breakdown leading to a higher domain wall
velocity.
