Conductivity exponent in three-dimensional percolation by diffusion based on molecular trajectory algorithm and blind-ant rules

► Simulations by the molecular trajectory rules and the blind-ant rules were studied. ► The diffusion on cubic percolation at and above the threshold was studied. ► A clear crossover region of diffusion from anomalous to norm regime was observed. ► The molecular trajectory rules show a faster convergence than the blind-ant rules. ► The molecular trajectory simulations in three dimensions support the AO rule.