## 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

** Moves: **

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