ANOMALOUS DIFFUSION AT PERCOLATION THRESHOLD IN HIGH DIMENSIONS ON1018SITES

Dirk Osterkamp (), Dietrich Stauffer () and Amnon Aharony ()
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Dirk Osterkamp: Institute for Theoretical Physics, Cologne University, D-50923 Köln, Euroland
Dietrich Stauffer: Institute for Theoretical Physics, Cologne University, D-50923 Köln, Euroland
Amnon Aharony: Institute for Theoretical Physics, Cologne University, D-50923 Köln, Euroland;

International Journal of Modern Physics C (IJMPC), 2003, vol. 14, issue 07, 917-924

Abstract: 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 withL7sites andL≤420, we confirm the expected time-dependence of the end-to-end distance (including the corrections to the asymptotic behavior).

Keywords: Monte Carlo; ant in labyrinth; random number generators; anomalous diffusion (search for similar items in EconPapers)
Date: 2003
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DOI: 10.1142/S0129183103005066

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