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Ring polymers of the freely jointed model are efficiently obtained by joining two linear chains together (dimerization). The rings produced are equivalent to those obtained by the direct Monte Carlo method of Bruns and Naghizadeh, based on the radius of gyration and the various distribution functions. The method can be used to generate any number of ring polymers with any number of bonds and is therefore useful in future studies of ring polymer statistics.
Yi-der Chen (Sun,) studied this question.