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...