Series expansions for clustering in continuum-percolation models with interactions

Asok K. Sen, S. Torquato

Research output: Contribution to journalArticle

11 Scopus citations

Abstract

The low-density expansions of the concentration of monomers, dimers, trimers, and the mean cluster size are computed exactly, up through three-body cluster integrals, for a continuum-percolation model of spheres characterized by both exclusion-volume repulsions and short-range attractions. The compactness of trimers for our model is studied in the dilute limit. Interestingly, the [1,1] Padé approximant of the mean cluster size yields percolation thresholds which exhibit the proper qualitative dependence on the strengths of the repulsive and attractive interactions. The predicted thresholds agree qualitatively well with the trends reported in a Monte Carlo study by Bug et al.

Original languageEnglish (US)
Pages (from-to)3799-3807
Number of pages9
JournalThe Journal of chemical physics
Volume89
Issue number6
DOIs
StatePublished - Jan 1 1988
Externally publishedYes

All Science Journal Classification (ASJC) codes

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

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