Characteristic length of random knotting for cylindrical self-avoiding polygons
arXiv:cond-mat/0008268 · doi:10.1016/S0375-9601(00)00545-4
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 $r$.
5 pages, 4 figures