We present an extension to two dimensions of a one-dimensional model for a fluid that drags particles in a narrow channel [V. Ruiz Barlett, M. Hoyuelos, H.O. Mártin, Physica A 387 (2008) 4623–4629]. We consider a network of narrow channels on a strip. There is a flux rate J of particles that...

We consider a fluid that drags impurities in a narrow channel. The impurities are particles of a size comparable to the channel diameter. When two particles collide they produce a cluster that cannot move through the medium and remain immobile. When the accumulation of clusters saturate the...

We study the annihilation reaction A+A→0 in a two-dimensional square lattice of width W and an infinite length. The behaviour of the density of particles ρ(t) is analyzed. This system exhibits a crossover time tc between the short-time (two-dimensional) and the long-time (one-dimensional)...

The density and activity (defined as the average between the rate of fertility and the rate of mortality) for all games similar to the “game of life” has been calculated after 1000 time steps in a 100 × 100 lattice. Mean-field arguments that describe some global features are presented. A...

We report the chain dynamics in the necklace model that mimics the reptation of a chain of N particles in a two-dimensional square lattice. We focus on the drift velocity under an applied static field. The characteristics of the model allow us to determine the effects of the forces on the chains...