Perturbation Theories for the Thermodynamic Properties of Fluids and Solids

78 Perturbation Theories for Fluids and Solids

where c

HS

(r) is the HS DCF, for which one can choose a Yukawa form, as in the

GMSA equation (4.17), or an expression known in advance by any other means.

SCOZA can be extended to soft-core potentials by exploiting the fact that many

simple continuous potentials can be approximated by linear combinations of Yukawa

tails (Kahl et al. 2002, Schöll-Paschinger and Kahl 2003), by introducing an effective

hard-core diameter (Høye and Reiner 2006), by removing the condition r > σ in

Equation 4.25 (Raineri et al. 2004, Mladek et al. 2006), or by replacing c

HS

(r) in

Equation 4.26 with a suitable DCF for the soft ...