English

Scattering functions of knotted ring polymers

Soft Condensed Matter 2009-11-11 v1

Abstract

We discuss the scattering function of a Gaussian random polygon with N nodes under a given topological constraint through simulation. We obtain the Kratky plot of a Gaussian polygon of N=200 having a fixed knot for some different knots such as the trivial, trefoil and figure-eight knots. We find that some characteristic properties of the different Kratky plots are consistent with the distinct values of the mean square radius of gyration for Gaussian polygons with the different knots.

Keywords

Cite

@article{arxiv.cond-mat/0504108,
  title  = {Scattering functions of knotted ring polymers},
  author = {Miyuki K. Shimamura and Kumiko Kamata and Akihisa Yao and Tetsuo Deguchi},
  journal= {arXiv preprint arXiv:cond-mat/0504108},
  year   = {2009}
}

Comments

4pages, 3figures, 3tables

R2 v1 2026-07-22T11:15:40.503Z