Tight open knots.

Details

Serval ID
serval:BIB_18361
Type
Article: article from journal or magazin.
Collection
Publications
Institution
Title
Tight open knots.
Journal
European Physical Journal E: Soft Matter
Author(s)
Pieranski P., Przybyl S., Stasiak A.
ISSN
1292-8941 (Print,1292-895X)
Publication state
Published
Issued date
2001
Volume
6
Number
2
Pages
123-128
Language
english
Abstract
The tightest open conformations of a few prime knots (3(1), 4(1), 5(1), 5(2), and 6(3)) found with the use of the SONO algorithm are presented and discussed. The conformations are obtained from the tightest closed conformations of the knots by cutting and opening them at different locations. The length of the rope engaged in each of the open conformations is calculated. The curvature and torsion profiles of the unique tightest conformations of the 3(1) and 4(1) open knots are presented and discussed. In particular, symmetry properties of the knots reflected within their curvature and torsion profiles are analysed. Connections with the physics of polymers are discussed.
Keywords
DNA knots
Web of science
Create date
19/11/2007 12:12
Last modification date
20/08/2019 12:48
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