Percolation analysis: Difference between revisions
m (small additions) |
m (→Conectivity rules: reference added) |
||
| Line 19: | Line 19: | ||
In addition the bonding criteria can be deterministic or probabilistic. | In addition the bonding criteria can be deterministic or probabilistic. | ||
See | See Refs. <ref> D. Stauffer, and A. Aharony, "Introduction to Percolation Theory", Taylor and Francis, 2003 </ref> <ref> S. Torquato "Random Heterogeneous Materials, Microscopic and Macroscopic Properties", Springer, New York (2002) ISBN 9780387951676</ref> | ||
==Percolation theshold== | ==Percolation theshold== | ||
Revision as of 19:38, 4 September 2009
This section focuses on the application of percolation analysis to statistical mechanics problems.
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.
Percolation theshold
References
- ↑ D. Stauffer, and A. Aharony, "Introduction to Percolation Theory", Taylor and Francis, 2003
- ↑ S. Torquato "Random Heterogeneous Materials, Microscopic and Macroscopic Properties", Springer, New York (2002) ISBN 9780387951676