The effect of slow parameter variation on the Anderson localization
in one-dimensional case was studied in [71]. It is shown that
when the typical frequency of this variation 
(the signal assumed to be non monochromatic) goes to zero then
the diffusion rate of propagation along the chain,
produced by such adiabatic noise, is proportional to 
.
This dependence is explained on the basis of Mott mechanism of
low frequency conductivity. The result differs from earlier predictions
of M.Wilkinson. A similar type of diffusion was seen by D.Cohen
for the model of kicked particle.