Percolation and Clustering

  • Salvatore Torquato
Part of the Interdisciplinary Applied Mathematics book series (IAM, volume 16)

Abstract

Percolation theory deals with the effects of varying the connectivity of elements (e.g., particles, sites, or bonds) in a random system. A cluster is simply a connected group of elements. Roughly speaking, the percolation transition, or threshold, of the system is the point at which a cluster first spans the system, i.e., the first appearance of long-range connectivity. In the thermodynamic limit, the percolation threshold is the point at which a cluster becomes infinite in size. The percolation transition is a wonderful example of a second-order phase transition and critical phenomenon.

Keywords

Critical Exponent Percolation Threshold Bethe Lattice Bond Percolation Site Percolation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer Science+Business Media New York 2002

Authors and Affiliations

  • Salvatore Torquato
    • 1
  1. 1.Department of Chemistry and Princeton Materials InstitutePrinceton UniversityPrincetonUSA

Personalised recommendations