Bawendi-Freed theory

Fig. 1.11 Compressibility factor z plotted vs. volume fraction, for self- and mutually-avoiding walks on the simple cubic lattice, and two chain lengths N = 20 (filled symbols) or = 40 (open s3nmbols), respectively. The Flory theory is shown as a dash-dotted curve, Flory-Huggins theory as broken curve, and the Bawendi-Freed theory as full curve. Circles represent data obtained from the repulsive wall method, while squares or diamonds are obtained from the test-chain insertion method. (From Hertanto and Dickman. )...

K.F. Freed, M.G. Bawendi, Lattice theories of polymeric fluids. J. Phys. Chem. 93,2194-2203 (1989) K.F. Freed, J. Dudowicz, A lattice-model molecular theory for the properties of polymer blends. Trends Polym. Sci. 3(8), 248-255 (1995)... 

RG theories are currently being extended into the semidilute-marginal and -theta regimes. Results (Freed, 1985 Bawendi et al., 1986) remain limited and... 

Bawendi MG, Freed KF (1988) Systematic corrections to Flory-Huggins theory polymer-solvent-void systems and binary blend-void systems. J Chem Phys 88 2741-2756 Chang TS (1939) Statistical theory of absorption of double molecules. Proc R Soc Ser A 169 512-531... 

Freed et al. developed the lattice cluster theory (LCT) specifically to account for diversity of segmental structures, affecting blend miscibility, viz., the critical point [ c, cj)c, chain swelling [T ], as well as the scale and intensity of composition fluctuations (Freed and Bawendi 1989 Foreman and Freed 1997 Freed and Dudowicz 1998, 2005 Dudowicz et al. 2002). As an example, several monomeric and polymeric stmctures are shown in Fig. 18.15, and LCT predictions of the phase behavior the authors are discussed in details. 

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