Anisotropic anomalous diffusion modulated by log-periodic oscillations
Statistical Mechanics
2015-06-04 v1
Abstract
We introduce finite ramified self-affine substrates in two dimensions with a set of appropriate hopping rates between nearest-neighbor sites, where the diffusion of a single random walk presents an anomalous {\it anisotropic} behavior modulated by log-periodic oscillations. The anisotropy is revealed by two different random walk exponents, and , in the {\it x} and {\it y} direction, respectively. The values of these exponents, as well as the period of the oscillation, are analytically obtained and confirmed by Monte Carlo simulations.
Cite
@article{arxiv.1203.3062,
title = {Anisotropic anomalous diffusion modulated by log-periodic oscillations},
author = {L. Padilla and H. O. Mártin and J. L. Iguain},
journal= {arXiv preprint arXiv:1203.3062},
year = {2015}
}
Comments
7 pages, 7 figures