14 citations · 41 across the 7 of their papers we have counts for
6 papers · 1 filter
Local Einstein relation for fractals
J. L. Iguain, L. Padilla
We study single random walks and the electrical resistance for fractals obtained as the limit of a sequence of periodic structures. In the long-scale regime, power laws describe bo…
Universal behavior for single-file diffusion on a disordered fractal
L. Padilla, H. O. Mártin, J. L. Iguain
We study single-file diffusion on a one-dimensional lattice with a random fractal distribution of hopping rates. For finite lattices, this problem shows three clearly different reg…
Anisotropic anomalous diffusion modulated by log-periodic oscillations
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…
Anomalous diffusion with log-periodic modulation in a selected time interval
L. Padilla, H. O. Mártin, J. L. Iguain
On certain self-similar substrates the time behavior of a random walk is modulated by logarithmic periodic oscillations on all time scales. We show that if disorder is introduced i…
Log-periodic oscillations for diffusion on self-similar finitely ramified structures
L. Padilla, H. O. Mártin, J. L. Iguain
Under certain circumstances, the time behavior of a random walk is modulated by logarithmic periodic oscillations. The goal of this paper is to present a simple and pedagogical exp…
Log-periodic modulation in one-dimensional random walks
L. Padilla, H. O. Mártin, J. L. Iguain
We have studied the diffusion of a single particle on a one-dimensional lattice. It is shown that, for a self-similar distribution of hopping rates, the time dependence of the mean…