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Cumulative Shapes of Knotted Polymers
Progress of Theoretical Physics Supplement
International Workshop on Statistical Physics and Topology of Polymers with Ramifications to Structure and Function of DNA and Proteins. Kyoto Univ, Yukawa Inst Theoret Phys (YITP), Kyoto, JAPAN AUG 02-06, 2010
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.
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