Generalized Flory Dimer theories

Mooij, G. C. and Frenkel, D., Numerical test of the generalized Flory and generalized Flory dimer theories. J. Chem. Phys. 100, 6088-6091 (1994). 

Another popular approach is that of Hall and coworkers, who have attempted to extend the Flory-Huggins ideas to off-lattice polymer solutions, yielding first the Generalized Flory and then the Generalized Flory Dimer theories [214, 215]. The GFD theory provides a simple and tractable equation of state and produces rather accurate results for hard sphere chains. The drawback of this approach is that there is no unique way to extend it to more complicated cases, such as mixtures of polymer + solvent [216], heteropolymers [217], systems with attractive interactions [218] and it is difficult to include chemical details in a straightforward manner [212, 219, 220]. 

FH = Flory-Huggins GF = generalized Flory GFD = generalized Flory dimer HNC = hypemetted chain HTA = high temperature approximation IFJC = ideal freely joined chain ISM = interaction site model LCT = lattice cluster theory MS = Martynov-Sarkisov PMMA = polymethyl methacrylate PRISM = polymer reference interaction site model PVME = polyvinylmethylether PS = polystyrene PY = Percus-Yevick RMMSA = reference molecule mean spherical approximation RMPY = reference molecular Percus-Yevick SANS = small angle neutron scattering SFC = semiflexible chain TPT = thermodynamic perturbation theory. 

The generalized Flory (GF) and generalized Flory dimer (GFD) theories are in the first category, and are off-lattice... 

These approximations can then be used in the osmotic equation of state to obtain the compressibility factor. Monte Carlo simulations using the above-discussed Monte Carlo techniques have been performed to assess the approximations inherent in the generalized Flory theory of hard-core chain systems. This theory does quite well in predicting the equations of state of hard-core chains at fluid densities. The question then arises, why does it do so well since the theory typically only incorporates information from a dimer fluid as a reference state ... 

By generalizing Flory s dimer theory. Hall and coworkers [22, 23] obtained the GF-D equation of state, which is as follows ... 

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