## Predicting optimal lengths of random knots

### Détails

ID Serval

serval:BIB_55DA3B2D11FC

Type

**Article**: article d'un périodique ou d'un magazine.

Collection

Publications

Fonds

Titre

Predicting optimal lengths of random knots

Périodique

Letters in Mathematical Physics

ISSN

0377-9017

Statut éditorial

Publié

Date de publication

2001

Peer-reviewed

Oui

Volume

55

Numéro

3

Pages

239-247

Langue

anglais

Résumé

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.

Mots-clé

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

Web of science

Création de la notice

24/01/2008 11:25

Dernière modification de la notice

18/11/2016 14:35