Simple model with facilitated dynamics for granular compaction
Condensed Matter
2009-10-31 v2
Abstract
A simple lattice model is used to study compaction in granular media. As in real experiments, we consider a series of taps separated by large enough waiting times. The relaxation of the density exhibits the characteristic inverse logarithmic law. Moreover, we have been able to identify analytically the relevant time scale, leading to a relaxation law independent of the specific values of the parameters. Also, an expression for the asymptotic density reached in the compaction process has been derived. The theoretical predictions agree fairly well with the results from the Monte Carlo simulation.
Cite
@article{arxiv.cond-mat/9907144,
title = {Simple model with facilitated dynamics for granular compaction},
author = {J. Javier Brey and A. Prados and B. Sanchez-Rey},
journal= {arXiv preprint arXiv:cond-mat/9907144},
year = {2009}
}
Comments
15 pages, 4 figures, REVTeX file; no changes except for single-spacing to save paper (previous version 22 pages)