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Characteristic length of random knotting for cylindrical self-avoiding polygons

Miyuki K. shimamura, Tetsuo Deguchi

cond-mat.stat-mecharXiv:cond-mat/0008268

Abstract

We discuss the probability of random knotting for a model of self-avoiding polygons whose segments are given by cylinders of unit length with radius r. We show numerically that the characteristic length of random knotting is roughly approximated by an exponential function of the chain thickness r.

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