Supplementary graphical analysis for the multi-density expansion of associating fluids

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We present a detailed analysis of Wertheim's multi-density formulation for the thermodynamic properties of associating fluids with a single attraction site. Graphical expressions are explicitly illustrated for the partition function, multi-densities and direct correlation functions, and they are compared with those from the classical single-density formulation of simple fluids. The steric incompatibility among three monomers greatly simplifies cluster integrals of associating fluids, which allows dimerizing association only. Graphical expressions for the pressure and the Helmholtz energy are derived by using functional derivatives, which provide a theoretical base for TPT and SAFT equations of state.

Original languageEnglish
Pages (from-to)374-380
Number of pages7
JournalKorean Journal of Chemical Engineering
Issue number3
StatePublished - Mar 2014


  • Associating Fluid
  • Cluster Integral
  • Graph Theory
  • Multi-density
  • SAFT
  • TPT


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