Lattice models of branched polymers: statistics of uniform stars

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Abstract
The authors investigate the statistical properties of uniform star polymers with f branches, modelled on lattices in two and three dimensions. It is shown that the growth constant exists and is equal to mu f, where mu is the self-avoiding walk limit. The f dependence of the corresponding critical exponent gamma (f) is studied using exact enumeration and Monte Carlo techniques and the results are compared with the predictions of Miyake and Freed (1983) obtained using chain conformation space renormalisation group method.

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