1208.2069 (Gunnar Pruessner)

The average avalanche size in the Manna Model and other models of
self-organised criticality    [PDF]

Gunnar Pruessner

The average avalanche size can be calculated exactly in a number of models of self-organised criticality (SOC). While the calculation is straight-forward in one dimension, it is more involved in higher dimensions and further complicated by the presence of different boundary conditions and different forms of external driving. A subtle link exists between the procedure to calculate the average avalanche size and the field theory of SOC.

View original: http://arxiv.org/abs/1208.2069