How does percolation relate to SOC ?
Percolation is an arrangement of parts (usually visualised as a matrix) such that a property can arise that connects the opposite sides of the structure. This can be regarded as making a path in a disconnected matrix or making an obstruction in a fully connected one. The boundary at which the system goes from disconnected to connected is a sudden one, a step or phase change in the properties of the system. This is the same boundary that we arrive at in SOC. The main feature is that at this boundary a system has a correlation length that just spans the entire system, with a power law distribution of shorter lengths.
