Scaling properties of strong avalanches in sand-pile
We introduced strong avalanches in the two-dimensional sand-pile and investigated the distributions F((.), L) of their size corresponding to the different system lengths L. Being appropriately scaled, these distributions coincide. The inverse map F-1 as the function on L sets up the correspondence between the avalanches associated with different L. As to the strong avalanches, with any fixed first argument 6, the map F-1(delta,L) is proportional to a power function, where the exponent varies from 2 to 3 depending on delta, while F-1(delta, L) is proportional to L-2 for the other avalanches.
sand-pile distribution finite-size scaling