Monte Carlo simulation of diffusion on the cubic percolation lattice above the threshold

Recent work on the square percolation lattice resolved the discrepancy that existed between the scaling behaviour of percolation diusion and the conductivity of the associated random resistor network.This discrepancy is rst recalled, then attention is directed to the cubic percolation lattice where diusion is again shown to scale with the same critical exponent as the lattice conductivity.This is the rst time the scaling behaviour of diusion and conduction on the cubic lattice have been reconciled.Finally, evidence is presented which suggests that the relaxation rate of percolation diusion has scaling behaviour with a scaling exponent similar in value to that which governs the correlation length of the lattice.