The diffusion in one-dimensional (1D) lattices with different types of energetic disorders was investigated using both analytical method and Monte Carlo simulation. In single-particle case of two-level and uniform distributions the calculation showed a good agreement between analytical and simulation results for certain diffusion quantities. The expression for temperature dependence of diffusion coefficient DS was not Arrhenius one, but it tended to have Arrhenius type in the regime of low temperature. For many-particle case the simulation revealed two specific effects: first effect concerning the correlation factor FM decreased the diffusion coefficient DM as the coverage increased, second one relating to the mean time between two consecutive hops τjump M conversely increase DM. For all 1D lattices the diffusion coefficient decreased with the coverage due to that first effect was stronger than second one. Furthermore, it was demonstrated that the DM/DS ratio depended weakly on temperature, although FM/FS and τjumpM/τjumpS varied strongly over the considered temperature interval.

Diffusion in One-Dimensional Disordered Lattice. P.K.Hung, T.V.Mung, N.V.Hong: Modern Physics Letters B, 2012, 26[1], 1150011