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

Dirk Osterkamp, Dietrich Stauffer, Amnon Aharony

Research output: Contribution to journalArticlepeer-review

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 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).

Original languageEnglish
Pages (from-to)917-924
Number of pages8
JournalInternational Journal of Modern Physics C
Volume14
Issue number7
DOIs
StatePublished - Sep 2003

Keywords

  • Anomalous diffusion
  • Ant in labyrinth
  • Monte Carlo
  • Random number generators

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