Log-periodic Oscillations for Biased Diffusion in 3D Random Lattices
Statistical Mechanics
2015-06-25 v2
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 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. These results show that log-periodicity is the dominant effect compared to previous predictions of and reports on anomalous diffusion.
Cite
@article{arxiv.cond-mat/9712085,
title = {Log-periodic Oscillations for Biased Diffusion in 3D Random Lattices},
author = {Dietrich Stauffer and Didier Sornette},
journal= {arXiv preprint arXiv:cond-mat/9712085},
year = {2015}
}
Comments
5 pages, 3 figures, revised with better theory and better comparison to simulations and finite size effects, in press in Physica A