Log-periodic Oscillations for Biased Diffusion on 3D Random Lattice

Preprint
Publisher Website
Google Scholar
  • 7 December 1997
Abstract
Random walks with a fixed bias direction on randomly diluted cubic lattices far above the percolation threshold exhibit log-periodic oscillations in the effective exponent versus time. A scaling argument based on the presence of a hierarchy of holes accounts for the numerical results in the limit of large biases and small dilution and shows the importance of the interplay of these two ingredients in the generation of the log-periodicity. We predict modulation of log-periodicity over very large time intervals and for higher dimensions. These results may account for previous reports of anomalous exponents that are here interpreted as due to the log-periodicity.

This publication has 0 references indexed in Scilit: