Abstract
Calculates the intrachain bead-to-bead square distance of a real polymer chain, close to the critical dimensionality d=4. From this the authors obtain the mean-square radius of gyration (S2) of the polymer as a function of the molecular weight N of the chain and the excluded volume parameter mu . A proportionality relationship between (S2) and the mean square end-to-end distance (R2) of the coil, previously suggested by enumerations of self-avoiding walks on lattice, is shown to be true. An estimate of the universal ratio (S2)/(R2) is given.
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