Percolation analysis

Sites, bonds, and clusters

This topic concerns the analysis of connectivity of elements (sites) distributed in different positions of a given large system. Using some connectivity rules it is possible to define bonds between pairs of sites. These bonds can be used to build up clusters of sites. Two sites in a cluster can be connected directly by a bond between them or indirectly by one or more sequences of bonds between pairs of sites.

The sites of the system can belong to different types (species in the chemistry language).

Bonds are usually permitted only between near sites.

Conectivity rules

The connectivity rules (bonding criteria) that permit the creation of bonds can be of different nature: distance between sites, energetic interaction, types of sites, etc.

In addition the bonding criteria can be deterministic or probabilistic.

See Ref