On random graphs and the statistical mechanics of granular matter

Details On random graphs and the statistical mechanics of granular matter On random graphs and the statistical mechanics of granular matter

2000-12-21

arxiv.org/abs/cond-mat/0012416v2

Europhys. Lett. 56 (6), 784-790 (2001)

Physics

Condensed Matter

Statistical Mechanics

minor changes, to appear in EPL

Scientific paper

10.1209/epl/i2001-00588-3

The dynamics of spins on a random graph with ferromagnetic three-spin interactions is used to model the compaction of granular matter under a series of taps. Taps are modelled as the random flipping of a small fraction of the spins followed by a quench at zero temperature. We find that the density approached during a logarithmically slow compaction - the random-close-packing density - corresponds to a dynamical phase transition. We discuss the the role of cascades of successive spin-flips in this model and link them with density-noise power fluctuations observed in recent experiments.

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