90 citations · 333 across the 20 of their papers we have counts for
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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…
Hysteretic depinning of a particle in a periodic potential: Phase diagram and criticality
Víctor H. Purrello, José L. Iguain, Vivien Lecomte +1
We consider a massive particle driven with a constant force in a periodic potential and subjected to a dissipative friction. As a function of the drive and damping, the phase diagr…
Jump Events in a 3D Edwards-Anderson Spin Glass
Daniel A. Mártin, José Luis Iguain
The statistical properties of infrequent particle displacements, greater than a certain distance, is known as jump dynamics in the context of structural glass formers. We generaliz…
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…