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

Author

Listed:
  • Mehta, Anita
  • Barker, G.C.
  • Luck, J.M.
  • Needs, R.J.

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.

Suggested Citation

  • Mehta, Anita & Barker, G.C. & Luck, J.M. & Needs, R.J., 1996. "The dynamics of sandpiles: The competing roles of grains and clusters," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 224(1), pages 48-67.
    • Handle: RePEc:eee:phsmap:v:224:y:1996:i:1:p:48-67
    DOI: 10.1016/0378-4371(95)00314-2
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