Realizability issues for iso-g (2) processes

Frank H. Stillinger, Salvatore Torquato

Research output: Contribution to journalArticle

11 Scopus citations

Abstract

Iso-g (2) processes in the equilibrium regime concern density-dependent interactions that identically cancel the usual density variation of many-body pair correlation functions. This paper considers the formal density expansion for effective pair potentials with this iso-g (2) property, showing how successive terms in that expansion can be determined iteratively. Explicit results through second density order have been obtained for two types of 'target' pair correlation functions: (a) a unit step function (hard core), and (b) unity augmented by an origin-centred Gaussian profile with numerical multiplier A. For the unit step function and the -1 ≤ A < 0 Gaussian cases, readability appears to be attainable up to a finite terminal density. However, when the Gaussian A > 0, the terminal density diverges to infinity while the effective pair interaction series is non-convergent, though possibly valid as an asymptotic expansion.

Original languageEnglish (US)
Pages (from-to)2943-2949
Number of pages7
JournalMolecular Physics
Volume103
Issue number21-23 SPEC. ISS.
DOIs
StatePublished - Nov 1 2005

All Science Journal Classification (ASJC) codes

  • Biophysics
  • Molecular Biology
  • Condensed Matter Physics
  • Physical and Theoretical Chemistry

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