Monte Carlo study of freely jointed ring polymers. III. The generation of undistorted perfect ring polymers

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Abstract
In the first two papers of this series, we presented an efficient method of generating ring polymers of the freely jointed model and the study of statistical properties (such as the radius of gyration, the writhing numbers, etc.) of the ring polymers generated by this method. The drawback of this method is that the rings generated may be slightly distorted. In this paper, we present a slightly different dimerization procedure that generates perfect, undistorted rings. Differences between the two methods in terms of the statistical properties of the generated rings are discussed.