Abstract
A Monte Carlo study is presented for the transport of particles interacting with a nearest-neighbour interaction in a two-dimensional percolating system which is connected by a source at the one end and by a sink at the opposite end. Using mobile particles as carriers, permeation of a quantity such as charge (or mass) from source to sink is studied in a density gradient. The RMS displacement of carriers shows a nondiffusive power law behaviour. The permeability coefficient for the charge transport depends non-monotonically on the carriers concentration far above the percolation threshold and becomes constant near the percolation threshold; at a constant carriers concentration, it increases continuously on increasing the site concentration.