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Smooth sand piles

This page is about a new sand pile model called Smooth Sand Pile Model, proposed by Stefano Brocchi and Paolo Massazza. The aim is to propose an evolution rule that only allows a grain to fall where the potential is maximal, avoiding unreasonable configurations reachable in the standard SPM model. The model also extends very well to the bidimensional case (simulator available), where a totally satisfactory model does not exists yet, and where our model through the simple maximal potential rule seem to mirror adequately the real physical evolution of a sandpile. A paper about this new model has been presented at the 6th International Workshop on Reachability Problems.

On this page, a Javascript program allows to test the evolution of the model. The clickable arrows represent allowed moves, opaque ones the potentials equal to the maximal ones minus 1. Under the configuration of the grains, there is the array of potentials. The program is mainly referred to the model called SmSPM* in the forthcoming paper, even if some functionalities are related to SmSPM.

Initial configuration:
Reset Triangle Height: Step: Add grain in 1 (+10) Remove grain from 1

Back (undo move) Random SmSPM* move Random SmSPM move Evolve (2 moves per second) Stop Find fixed point

Dynamical evolution:
Print configuration list Print potential configuration list