Characteristic length of random knotting for cylindrical self-avoiding polygons. (English) Zbl 1065.60501
Summary: 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 \(r\).
MSC:
| 60G50 | Sums of independent random variables; random walks |
Keywords:
random knotting length; cylindrical self-avoiding polygons model; random knotting probability; unit length cylinders; cylinder radius; numerical solution; exponential function; chain thickness; polymers; DNA; characteristic lengthReferences:
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