Gc. Barker et A. Mehta, ROTATED SANDPILES - THE ROLE OF GRAIN REORGANIZATION AND INERTIA, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 53(6), 1996, pp. 5704-5713
We present a coupled-map lattice model of a sandpile which relaxes via
the dual mechanisms of surface how and bulk reorganization. We focus
on the situation where reorganization dominates flow and examine the r
esponse of our model to rotation; the event size distribution is analy
zed as a function of the model parameters. In regions of phase space w
here the effects of excess volume and grain inertia are both large, we
see a characteristic double peak in the size distribution, indicating
a preferred scale for large avalanches. We explain this, and the asso
ciated configurational memory, using a simple picture of grain-cluster
coupling. We next compare the distribution functions with those produ
ced by random deposition and, in the latter case, present results for
the event size distribution function in terms of the size of the depos
ited grains. Finally, we show the connection of our model to earlier s
cale-invariant models, and discuss our results.