Chiew theory

As in the Wertheim equation of state, Chiew also made use of the Carnahan-Starling expression for the pressure of the corresponding hard-sphere liquid. Similar agreement between TPTl and the Chiew theory was found with Monte Carlo simulations of Dickman and Hall for the pressure. 

Finally, we mention that very recently three other integral equation approaches to treating polymer systems have been proposed. Chiew [104] has used the particle-particle perspective to develop theories of the intermolecular structure and thermodynamics of short chain fluids and mixtures. Lipson [105] has employed the Born-Green-Yvon (BGY) integral equation approach with the Kirkwood superposition approximation to treat compressible fluids and blends. Initial work with the BGY-based theory has considered lattice models and only thermodynamics, but in principle this approach can be applied to compute structural properties and treat continuum fluid models. Most recently, Gan and Eu employed a Kirkwood hierarchy approximation to construct a self-consistent integral equation theory of intramolecular and intermolecular correlations [106]. There are many differences between these integral equation approaches and PRISM theory which will be discussed in a future review [107]. 

O Lenick, R., Li, X.J., and Chiew, Y.C., 1995. Correlation functions of hard-sphere chain mixtures Integral equation theory and simulation results. Mol. Phys., 86 1123. 

Von Solms, N., Chiew, Y.C. Analytical integral equation theory for a restricted primitive model of polyelectrolytes and counterions within the mean spherical approximation. II. Radial distribution functions. J. Chem. Phys. 118, 4321 (2003). doi 10.1063/l.1539842... 

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