Physics – Condensed Matter – Statistical Mechanics
Scientific paper
1999-10-15
Physics
Condensed Matter
Statistical Mechanics
28 pages, 7 figures
Scientific paper
10.1103/PhysRevE.61.5429
We investigate both analytically and by numerical simulation the kinetics of a microscopic model of hard rods adsorbing on a linear substrate, a model which is relevant for compaction of granular materials. The computer simulations use an event-driven algorithm which is particularly efficient at very long times. For a small, but finite desorption rate, the system reaches an equilibrium state very slowly, and the long-time kinetics display three successive regimes: an algebraic one where the density varies as $1/t$, a logarithmic one where the density varies as $1/\ln(t)$, followed by a terminal exponential approach. The characteristic relaxation time of the final regime, though incorrectly predicted by a mean field arguments, can be obtained with a systematic gap-distribution approach. The density fluctuations at equilibrium are also investigated, and the associated time-dependent correlation function exhibits a power law regime followed by a final exponential decay. Finally, we show that denser particle packings can be obtained by varying the desorption rate during the process.
Talbot John
Tarjus Gilles
Viot Pascal
No associations
LandOfFree
The adsorption-desorption model and its application to vibrated granular materials does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with The adsorption-desorption model and its application to vibrated granular materials, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The adsorption-desorption model and its application to vibrated granular materials will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-179543