Magnetization distribution and domain wall dynamics in nanotube with   surface anisotropy
  The period of magnetization oscillations that occur near the surface of a nanotube or nanowire under the influence of surface magnetic anisotropy is determined by means of numerical simulation as a function of nanowire geometry and material parameters. The hopping mode is observed for stationary movement of a head-to-head domain wall along nanowire axis in applied magnetic field. The average speed of the domain wall in the hopping mode is found to be several times less than the stationary velocity of the wall in the absence of surface anisotropy. 
N. A. Usov and O.N. Serebryakova
cond-mat.mes-hall