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

Dirk Osterkamp; Dietrich Stauffer; Amnon Aharony

doi:10.1142/S0129183103005066

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

Dirk Osterkamp, Dietrich Stauffer, Amnon Aharony

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	917-924
Number of pages	8
Journal	International Journal of Modern Physics C
Volume	14
Issue number	7
DOIs	https://doi.org/10.1142/S0129183103005066
State	Published - 1 Sep 2003
Externally published	Yes

Keywords

Anomalous diffusion
Ant in labyrinth
Monte Carlo
Random number generators

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics
General Physics and Astronomy
Computer Science Applications
Computational Theory and Mathematics

Access to Document

10.1142/S0129183103005066

Cite this

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