BIASED RANDOM-WALK IN ENERGETICALLY DISORDERED LATTICES

Citation
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
Citations number
20
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
ISSN journal
1063651X
Volume
58
Issue
3
Year of publication
1998
Part
A
Pages
2788 - 2795
Database
ISI
SICI code
1063-651X(1998)58:3<2788:BRIEDL>2.0.ZU;2-4
Abstract
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.