The dynamics of sandpiles: The competing roles of grains and clusters

Anita Mehta, G.C. Barker, J.M. Luck and R.J. Needs

Physica A: Statistical Mechanics and its Applications, 1996, vol. 224, issue 1, 48-67

Abstract: The competing roles of grains and clusters in the dynamics of a driven sandpile are investigated via two models. First, we present a coupled-map lattice model of a slowly rotating sandpile: we find that our inclusion of parameters to represent grain reorganisation and inertia leads to a rich diversity of behaviour, which we interpret via a simple model of grains and voids. Next, we present a set of coupled nonlinear stochastic equations which model the interactions between immobile clusters and mobile grains; in particular, we are able to model the effect of rotation via the inclusion of a ‘tilt’ term. We find that these nonlinearities are relevant and we present the new and nontrivial exponents we obtain in a number of different cases.

Date: 1996
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:224:y:1996:i:1:p:48-67

DOI: 10.1016/0378-4371(95)00314-2

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