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.
Volume
191
Published in
Progress of Theoretical Phsyics Supplements
COinS
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