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Effect of residual interactions on polymer properties near the theta point. II. Higher moments and comparison with Monte Carlo calculations
1.B. J. Cherayil, J. F. Douglas, and K. F. Freed, J. Chem. Phys. 83, 5293 (1985). References to other three parameter models may be found in this paper (referred to as paper I in the text), together with a compilation of pertinent experimental and numerical data.
2.(a) K. F. Freed, Renormalization Group Theory of Macromolecules (Wiley‐Interscience, New York, 1987);
2.(b) A. L. Kholodenko and K. F. Freed, J. Chem. Phys. 80, 900 (1984). Tricritical exponents obtained in this work in dimensions differ from field theoretic predictions (see, for example, Ref. 5). It has been claimed (Ref. 5) that the source of the discrepancy is an error in the calculation of a particular Feynman diagram. A recheck of this calculation reveals no errors. The predicted values of these tricritical exponents (which are obtained by setting in the relevant equations) should be interpreted with caution, as they neglect four and higher body effects that are formally relevant in two dimensions and they may therefore contribute for real systems. Of course, this discussion of exponents has no bearing whatsoever upon the conclusions of the present paper, which considers only first order computations for
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4.(a) See, for example, H. Yamakawa, Modern Theory of Polymer Solutions (Harper & Row, New York, 1971);
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7.(a) The bare theta point end‐to‐end vector distance calculated by Duplantier in Ref. 5(a) using his (different from ours) k, s space cutoff approach also agrees with these results;
7.(b) B. Duplantier (Saclay preprint SPhT/86–144);
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16.B. L. Hager, G. C. Berry, and H. H. Tsai, J. Polym. Sci. Polym. Phys. Ed. 25, 387 (1987) have measured for polystyrene in cyclohexane. Using Eq. (9.5) of paper I gives the value for this system, a value comparable to that deduced here for lattice chains.
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