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arXiv · 1203.3062

Anisotropic anomalous diffusion modulated by log-periodic oscillations

L. Padilla·H. O. Mártin·J. L. Iguain
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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, $ν_x$ and $ν_y$, 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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L. Padilla, H. O. Mártin, J. L. Iguain. 2012-03-14. Anisotropic anomalous diffusion modulated by log-periodic oscillations. https://doi.org/10.1103/physreve.86.011106

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