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

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

2003-02-03

arxiv.org/abs/cond-mat/0302051v2

Physics

Condensed Matter

Statistical Mechanics

8 pages including figures, presentation improved, for Int.J.Mod.Phys.C

Scientific paper

10.1142/S0129183103005066

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 L^7 sites and L < 420, we confirm the expected time-dependence of the end-to-end distance (including the corrections to the asymptotic behavior).

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