Diffusion of interacting particles in one-dimensional heterogeneous systems

Physical electrochemistry of nanostructured devices

“…187 A complete calculation of one-dimensional diffusion in twolevel systems with interactions is given in ref. 154. Next we consider a study of electron transport in a cubic array of quantum dots with discrete energy levels, see Fig.…”

Diffusion of particles on the patchwise bivariate surfaces

“…The dependencies θ D ( ) tr are very similar to the corresponding dependencies θ D ( ) cm . Also, no necessity to fit the Fickian diffusion coefficient as it is related to the CM diffusion coefficient by the Kubo-Green relation (5).…”

“…The analytical expressions give a quantitatively correct description of the coverage dependencies in the whole coverage region θ ≤ ≤ 0 1 for the lateral interaction varying from the very strong attraction to the very strong repulsion φ − ≤ ≤ 1. 5 1.5 when the diffusion coefficients vary by some orders of magnitude. The noticeable discrepancies appear at the very strong lateral repulsion φ > 1.…”

“…This model is very popular in the experimental and theoretical investigations of the effects of the heterogeneity on a variety of the surface processes like adsorption, desorption and catalysis [2,3]. A few Monte Carlo studies of the diffusion of noninteracting particles adsorbed on the one-dimensional and twodimensional patchwise lattices [4][5][6] also exist.…”

“…The coverage dependencies of the Fickian diffusion coefficients D cx (open symbols) and D cy (filled symbols) for the lateral interaction φ − ≤ ≤ 1 5. 1.5 as indicated.…”