Characteristic length of random knotting for cylindrical self-avoiding polygons

Details Characteristic length of random knotting for cylindrical self-avoiding polygons Characteristic length of random knotting for cylindrical self-avoiding polygons

2000-08-18

arxiv.org/abs/cond-mat/0008268v1

Phys. Lett. A 274 (2000) 184

Physics

Condensed Matter

Statistical Mechanics

5 pages, 4 figures

Scientific paper

10.1016/S0375-9601(00)00545-4

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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