Role of Spin Diffusion in Current-Induced Domain Wall Motion
  Current-induced spin torque and magnetization dynamics in the presence of spin diffusion in magnetic textures is studied theoretically. We uncover an additional torque on the form \sim{\bm\nabla}^2[{\bf M}x({\bf u}\cdot{\bm \nabla}){\bf M}], where {\bf M} is the local magnetization and {\bf u} is the direction of injected current. This torque is inversely proportional to the square of the domain wall width (\approx\frac{1}{W^2}) and strongly depends on the domain wall structure. Whereas its influence remains moderate for transverse domain walls, it can significantly increase the transverse velocity of vortex cores. Consequently, the spin diffusion can dramatically enhance the non-adiabaticity of vortex walls. 
A. Manchon, W.-S. Kim and K.-J. Lee
cond-mat.mes-hall