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Anomalous Diffusion At Percolation Threshold In High Dimensions On1018sites

Author

Listed:
  • 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;
    Visiting from School of Physics and Astronomy, Raymond and Beverly Sackler Faculty of Exact Sciences, Tel Aviv University, Ramat Aviv, Tel Aviv 69978, Israel)

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).

Suggested Citation

  • Dirk Osterkamp & Dietrich Stauffer & Amnon Aharony, 2003. "Anomalous Diffusion At Percolation Threshold In High Dimensions On1018sites," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 14(07), pages 917-924.
    • Handle: RePEc:wsi:ijmpcx:v:14:y:2003:i:07:n:s0129183103005066
    DOI: 10.1142/S0129183103005066
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