Abnormal Temperature-Diffusion Relationship in the External Periodic   Fields
  Using the methods of computer modeling this scientific paper studies the special features of diffusion of the particles subjected to the external periodic force in the crystal lattice. The particle motion is described by a Langevin equation. The systems with a low friction coefficient may experience abnormal diffusion modes, in particular hyperdiffusion and subdiffusion. The applied external time-periodic field causes limitation of time intervals of abnormal diffusion making the diffusion coefficients dependent on frequency of applied force. The temperature relationships of these values have been calculated. It has been shown that the diffusion coefficients behave in abnormal ways as the temperature changes. In some temperature intervals the diffusion may increase as the temperature drops. Location and width of these intervals depend on the frequency of the external field. 
I. G. Marchenko and I. I. Marchenko
cond-mat.stat-mech