Aspects of correlation function realizability

Jenness Crawford, Salvatore Torquato, Frank H. Stillinger

Research output: Contribution to journalArticlepeer-review

42 Scopus citations


Any pair-correlation function g2(r) and its associated structure factor S(k) for a many-particle system are trivially constrained by non-negativity conditions: g2(r)≥0 and S(k)≥0. Unfortunately, no general theory has been available to indicate whether any arbitrary candidate function g2 that satisfies these two inequalities is actually attainable as the descriptor of short-range order in a specific many-particle system. The work discussed in this paper provides some modest evidence in support of the proposition that only the two non-negativity conditions are required, provided that the particle number density is not too large.

Original languageEnglish (US)
Pages (from-to)7065-7074
Number of pages10
JournalJournal of Chemical Physics
Issue number14
StatePublished - Oct 8 2003

All Science Journal Classification (ASJC) codes

  • General Physics and Astronomy
  • Physical and Theoretical Chemistry


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