Diffusion of lattice gases without double occupancy on three-dimensional percolation lattices

Abstract

We examined the diffusion of lattice gases, where double occupancy of sites is excluded, on three-dimensional percolation lattices at the percolation thresholdpc. The critical exponent for the root-mean-square displacement was determined to bek=0.183±0.010, which is similiar to the result of Roman for the problem of the “ant in the labyrinth.” Furthermore, we found a plateau value fork at intermediate times for systems with higher concentrations of lattice gas particles.