Anisotropic anomalous diffusion modulated by log-periodic oscillations

Details Anisotropic anomalous diffusion modulated by log-periodic oscillations Anisotropic anomalous diffusion modulated by log-periodic oscillations

2012-03-14

arxiv.org/abs/1203.3062v1

Physics

Condensed Matter

Statistical Mechanics

7 pages, 7 figures

Scientific paper

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, $\nu_x$ and $\nu_y$, 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.

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