Anomalous diffusion at percolation threshold in high dimensions on 10 ¹⁸ sites

Using an inverse of the standard linear congruential random number generator, large randomly occupied lattices can be visited by a random walker without having to determine the occupation status of every lattice site in advance. In seven dimensions, at the percolation threshold with L⁷ sites and L ≤ 420, we confirm the expected time-dependence of the end-to-end distance (including the corrections to the asymptotic behavior).