Title

Cumulative shapes of knotted polymers

Department/School

Mathematics

Date

12-1-2011

Document Type

Article

Keywords

knotted polygons, trefoil knots

Abstract

We investigate the influence of knotting and chirality on the shape of knotted polygons forming trefoil knots compared to unknotted polygons by aligning independent configurations along their principal inertial axes. While for six edge polygons forming trefoil knots the chiral knotted structure is revealed in the isodensity profiles, the distinct chiral signature of the trefoil is significantly diminished with 24 edges. We observe that as the number of edges in the polygons increases, the cumulative shapes of trefoil knots progressively approach the cumulative shapes for unknotted polygons.

Published in

Progress of Theoretical Phsyics Supplements

Citation/Other Information

Rawdon, E.J., Millett,K.C., Tran, V., Stasiak, A. (2011). Cumulative Shapes of Knotted Polymers, Progress of Theoretical Physics Supplement, (191), p 165–171, https://doi.org/10.1143/PTPS.191.165

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