Please use this identifier to cite or link to this item:
Title: Geometry and topology of knotted ring polymers in an array of obstacles
Authors: Orlandini, Enzo
Stella, Attilio L.
Issue Date: 2010
Publisher: American Physical Society
Source: PHYSICAL REVIEW E, 82(5). p. 050804-1-050804-4
Abstract: We study knotted polymers in equilibrium with an array of obstacles which models confinement in a gel or immersion in a melt. We find a crossover in both the geometrical and the topological behavior of the polymer. When the polymers’ radius of gyration, RG, and that of the region containing the knot, RG,k, are small compared to the distance b between the obstacles, the knot is weakly localised and RG scales as in a good solvent with an amplitude that depends on knot type. In an intermediate regime where RG > b > RG,k, the geometry of the polymer becomes branched. When RG,k exceeds b, the knot delocalises and becomes also branched. In this regime, RG is independent of knot type. We discuss the implications of this behavior for gel electrophoresis experiments on knotted DNA in weak fields.
Document URI:
Link to publication:
ISSN: 1539-3755
DOI: 0.1103/PhysRevE.82.050804
ISI #: 000286737600001
Category: A1
Type: Journal Contribution
Validations: ecoom 2012
Appears in Collections:Research publications

Files in This Item:
File Description SizeFormat 
knotingel7.pdfPublished version189.91 kBAdobe PDFView/Open
Show full item record


checked on May 21, 2022

Page view(s)

checked on May 28, 2022


checked on May 28, 2022

Google ScholarTM



Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.