Abstract
The case of a binary incompressible lattice mixture is treated using the Born–Green–Yvon (BGY) integral equation approach with the Kirkwood superposition approximation. Analytic expressions for ΔEmix and ΔAmix are derived without invoking the random mixing approximation. The BGY predictions for ΔEmix and ΔS(nc), the noncombinatorial contribution to the entropy of mixing, are compared with those of the lattice cluster (LC) theory of Freed and co-workers for mixtures in which at least one of the two components is a polymer.

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