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Progress in thermodynamic perturbation theory and self-consistent Ornstein–Zernike approach relevant to structural-arrest problems

We discuss the derivation and use of a key feature of a new version of thermodynamic perturbation theory (TPT) that Ben-Amotz and Stell have developed recently—the choice of a hard-core diameter to be used in modelling soft-core systems. We go on to show the way the new version of TPT can be used as input for the self-consistent Ornstein–Zernike approach (SCOZA) of Høye and Stell to obtain highly accurate static structure factors and thermodynamics for fluids and glasses. In obtaining quantitatively useful results for the structural arrest and other dynamic features in colloidal systems with pair potentials that include strong short-range attraction, accurate structure factors are a necessity.