Theory of Solutions of High Polymers¹

Computer simulations of vapor–liquid phase equilibria of n-alkanes

“…The chain length dependence of the critical properties of the n-alkanes is, with this assumption, identical to the dependence of a polymer solution. Interestingly, the Flory-Huggins theory [69][70][71][72] for polymer solutions also predicts that the critical density decreases with chain length, i.e., c ϰn Ϫ1/2 .…”

Fundamentals of Phase Separation in Polymer Blend Thin Films

“…Although deviations from Raoult's law could be shown to derive from the entropy of mixing given by equation (1.5), fits to the activities data still require a term that took the heat of mixing into account [5]. Of course, generally a heat of mixing term for polymers will be required, because the heat of mixing is rarely zero.…”

“…Generalising to polymer-polymer systems (since we can always choose N = 1 for either polymer for it to be a simple solvent), there are two expressions for a binary mixture where c s is the concentration of polymer solute or equivalently (given different units) the partial molar volume. In order to account for how, in polymer solutions, Π/c s increases with c s Huggins needed to include an empirical term in equations (1.12) which "takes care of the heat of mixing, deviations from complete randomness of mixing, and other factors" [5]:…”

A variational approach to the decomposition of unstable viscous fluids and its consistent numerical approximation

“…In order to quantify the Helmholtz or conformational free energy density of a binary mixture, we use the Margules activity model, which is known from Flory-Huggins thermodynamics of mixing [25,31] …”

“…Multiplying Eq. (28) by a variation δc, applying Green's formula (integration by parts) and making use of the homogeneous boundary conditions (30,31) give, together with Eq. (29) and the properties of the convection-field u, the weak form of the problem:…”