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End‐to‐End Distances in Four‐Junction Polymers
Authors:Marios Kosmas  Thomas Forzaglia  Marvin Bishop
Abstract:The various end‐to‐end distances of four‐junction polymers are investigated. The sizes of the different kinds of equal length branches and the backbone of two different polymers, with either nine or eleven branches, are estimated by means of both renormalization‐group and MC calculations. The comparisons of first‐order ε = 4 − d predictions with the MC results are satisfactory. The same trends are present in both techniques. The excluded‐volume interactions from additional branches further expand the various parts of the chains so that internal branches are larger than external ones. The branch ratios in the eleven‐branch case are expanded even more than the corresponding ratios of the nine‐branch polymer.
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Keywords:end‐to‐end distances  four‐junction polymers  Monte Carlo simulations  renormalization group theory  statistical mechanics
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