Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/11457
Title: Geometry and topology of knotted ring polymers in an array of obstacles
Authors: Orlandini, Enzo
Stella, Attilio L.
VANDERZANDE, Carlo 
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: http://hdl.handle.net/1942/11457
Link to publication: http://pre.aps.org/abstract/PRE/v82/i5/e050804
ISSN: 1539-3755
DOI: 0.1103/PhysRevE.82.050804
ISI #: 000286737600001
Category: A1
Type: Journal Contribution
Validations: ecoom 2012
Appears in Collections:Research publications

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