I. Avramov et al., BIASED RANDOM-WALK IN ENERGETICALLY DISORDERED LATTICES, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 58(3), 1998, pp. 2788-2795
We utilize our previously reported model of energetically disordered l
attices to study diffusion properties, where we now add the effect of
a directional bias in the motion. We show how this leads to ballistic
motion at low temperatures, but crosses over to normal diffusion with
increasing temperature. This effect is in addition to the previously o
bserved subdiffusional motion at early times, which is also observed h
ere, and also crosses over to normal diffusion at long times. The inte
rplay between these factors of the two crossover points is examined he
re in detail. The pertinent scaling laws are given for the crossover t
imes. Finally, we deal with the case of the frequency dependent bias,
which alternates (switches) its direction with a given frequency, resu
lting in a different type of scaling.