Thursday, March 15, 2012

1203.3062 (L. Padilla et al.)

Anisotropic anomalous diffusion modulated by log-periodic oscillations    [PDF]

L. Padilla, H. O. Mártin, J. L. Iguain
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.
View original: http://arxiv.org/abs/1203.3062

No comments:

Post a Comment