Measure of clustering in continuum percolation: Computer-simulation of the two-point cluster function

Sang B. Lee, S. Torquato

Research output: Contribution to journalArticlepeer-review

23 Scopus citations

Abstract

The two-point cluster function C2(r1,r2) is determined for a D-dimensional interpenetrable-sphere continuum model from Monte Carlo simulations. C2(r1,r2) gives the probability of finding two points, at positions r1 and r2, in the same cluster of particles, and thus provides a measure of clustering in continuum-percolation systems. A pair of particles are said to be "connected" when they overlap. Results are reported for D = 1,2, and 3 at selected values of the sphere number density ρ and of the impenetrability index λ, 0≤λ≤1. The extreme limits λ = 0 and 1 correspond, respectively, to the cases of fully penetrable spheres ("Swiss-cheese" model) and totally impenetrable spheres.

Original languageEnglish (US)
Pages (from-to)1173-1178
Number of pages6
JournalThe Journal of chemical physics
Volume91
Issue number2
DOIs
StatePublished - 1989

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)
  • Physical and Theoretical Chemistry

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