Mean number of distinct sites visited by correlated walks. II. Disordered lattices

The mean number of distinct sites Sn visited by correlated walk of particles in two-dimensional lattices with randomly blocked sites is studied by numerical simulations, for various values of the forward probability pf and of the concentration of open sites p. At the percolation threshold, the behavior of Sn changes from a power law for smaller values of pf to more complicated behavior at larger pf. For complete forward correlation, pf=1, trapping of the particles in effective traps is observed at all values of p≳pc. The probability distribution P(S) of the number of distinct sites visited until trapping is also examined.