We analyse the successive binding of two species of particles on a onedimensional discrete lattice, where the second variety is deposited only after complete adsorption of the first. We consider the two extreme cases of a perfectly irreversible initial deposition, with non-sliding particles, and that of a fully equilibrated one. For the latter we construct the exact gap distribution from the To...

One of the ingredients in Granular Dynamics (or DEM) is a description of interparticle forces. In this paper the effect of surface roughness on Hamaker and liquid bridge interactions is investigated. Three different models are used (excluded volume, stochastic roughness and explicit asperities). In general, the latter two give similar results. Roughness decreases interactions up to several orde...

We study the effects of interparticle interactions and power-law tunneling couplings on quantum walks executed by both a single one pair hard-core bosons moving in clean disordered one-dimensional lattices. For this purpose, we perform exact diagonalization to explicitly evaluate short long time probabilities finding walkers within surveillance area. Our main conclusions, summarized phase diagr...