Dynamics of the breakdown of granular clusters

Details Dynamics of the breakdown of granular clusters Dynamics of the breakdown of granular clusters

2002-05-03

arxiv.org/abs/cond-mat/0205058v1

Phys. Rev. E 66, 011305 (2002)

Physics

Condensed Matter

Statistical Mechanics

5 pages, 6 eps figures included

Scientific paper

10.1103/PhysRevE.66.011305

Recently van der Meer et al. studied the breakdown of a granular cluster (Phys. Rev. Lett. {\bf 88}, 174302 (2002)). We reexamine this problem using an urn model, which takes into account fluctuations and finite-size effects. General arguments are given for the absence of a continuous transition when the number of urns (compartments) is greater than two. Monte Carlo simulations show that the lifetime of a cluster $\tau$ diverges at the limits of stability as $\tau\sim N^{1/3}$, where $N$ is the number of balls. After the breakdown, depending on the dynamical rules of our urn model, either normal or anomalous diffusion of the cluster takes place.

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