# Predicting optimal lengths of random knots

### Details

Serval ID

serval:BIB_55DA3B2D11FC

Type

**Article**: article from journal or magazin.

Collection

Publications

Fund

Title

Predicting optimal lengths of random knots

Journal

Letters in Mathematical Physics

ISSN

0377-9017

Publication state

Published

Issued date

2001

Peer-reviewed

Oui

Volume

55

Number

3

Pages

239-247

Language

english

Abstract

In a thermally fluctuating long linear polymeric chain in a solution, the ends, from time to time, approach each other. At such an instance, the chain can be regarded as closed and thus will form a knot or rather a virtual knot. Several earlier studies of random knotting demonstrated that simpler knots show a higher occurrence for shorter random walks than do more complex knots. However, up to now there have been no rules that could be used to predict the optimal length of a random walk, i.e. the length for which a given knot reaches its highest occurrence. Using numerical simulations, we show here that a power law accurately describes the relation between the optimal lengths of random walks leading to the formation of different knots and the previously characterized lengths of ideal knots of a corresponding type.

Keywords

knots, polymers, scaling laws, DNA, random walks, biophysics

Web of science

Create date

24/01/2008 11:25

Last modification date

03/03/2018 17:20