AB Percolation

An  percolation is a discrete percolation model in which the underlying point lattice graph  has the properties that each of its graph vertices is occupied by an atom either of type  or of type , that there is a probability  that any given vertex is occupied by an atom of type , and that different vertices are occupied independently of each other.

In this model, a graph edge of  is said to be open if its end vertices are occupied by atoms of different types and is said to be closed otherwise. The idea is based on the hypothesis that dissimilar atoms bond together whereas similar atoms repel one another.

This model is sometimes studied under the title antipercolation.

REFERENCES

Grimmett, G. Percolation, 2nd ed. Berlin: Springer-Verlag, 1999.