Characteristic length of random knotting for cylindrical self-avoiding polygons

2000/08/18 by Miyuki K. Shimamura, Miyuki K. shimamura, Tetsuo Deguchi · 3 citations
Materials Science · Mathematics · Physics and Astronomy · #Geometric and Algebraic Topology #Quasicrystal Structures and Properties #Theoretical and Computational Physics #cond-mat.soft #cond-mat.stat-mech

paper · pdf · doi:10.1016/s0375-9601(00)00545-4

published as Phys. Lett. A 274 (2000) 184 · 5 pages, 4 figures

arxiv created 2000/08/18 · openalex publication_date 2000/09/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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.

Cited by

• Knot complexity and the probability of random knotting
• Finite-size and asymptotic behaviors of the gyration radius of knotted cylindrical self-avoiding polygons
• Pulling knotted polymers