Anomalous diffusion with log-periodic modulation in a selected time interval
Statistical Mechanics
2015-05-20 v1
Abstract
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 in a way that self-similarity holds only in average, the modulating oscillations are washed out but subdiffusion remains as in the perfect self-similar case. Also, if disorder distribution is appropriately chosen the oscillations are localized in a selected time interval. Both the overall random walk exponent and the period of the oscillations are analytically obtained and confirmed by Monte Carlo simulations.
Cite
@article{arxiv.1012.4112,
title = {Anomalous diffusion with log-periodic modulation in a selected time interval},
author = {L. Padilla and H. O. Mártin and J. L. Iguain},
journal= {arXiv preprint arXiv:1012.4112},
year = {2015}
}
Comments
4 pages, 5 figures