Simple model with facilitated dynamics for granular compaction

Details Simple model with facilitated dynamics for granular compaction Simple model with facilitated dynamics for granular compaction

1999-07-09

arxiv.org/abs/cond-mat/9907144v2

Physical Review E 60, 5685-5692 (1999)

Physics

Condensed Matter

15 pages, 4 figures, REVTeX file; no changes except for single-spacing to save paper (previous version 22 pages)

Scientific paper

10.1103/PhysRevE.60.5685

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.

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