14 citations · 41 across the 7 of their papers we have counts for
7 papers
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…
Intermediate Range Structure in Ion-Conducting Tellurite Glasses
M. Frechero, L. Padilla, H. O. Mártin +1
We present ac conductivity spectra of tellurite glasses at several temperatures. For the first time, we report oscillatory modulations at frequencies around MHz. This effect is mor…
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…