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Polymers 2016, 8(8), 271; doi:10.3390/polym8080271

Mean-Square Radius of Gyration and Scattering Function of Semiflexible Ring Polymers of the Trefoil Knot

Department of Polymer Chemistry, Kyoto University, Katsura, Kyoto 615-8510, Japan
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Academic Editor: Martin Kröger
Received: 13 May 2016 / Revised: 22 July 2016 / Accepted: 22 July 2016 / Published: 27 July 2016
(This article belongs to the Special Issue Semiflexible Polymers)
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Abstract

A Monte Carlo study of the mean-square radius of gyration R g 2 and scattering function P ( k ) with k the magnitude of the scattering vector for semiflexible ring polymers of the trefoil knot was conducted by the use of the discrete version of the Kratky–Porod (KP) wormlike ring model. The behavior of R g 2 and P ( k ) as functions of the reduced contour length λ L , defined as the total contour length L divided by the stiffness parameter λ 1 , is clarified. A comparison is made of the results for the KP ring of the trefoil knot with those for the KP ring of the trivial knot and for the phantom KP ring without the topological constraints. View Full-Text
Keywords: semiflexible polymer; ring polymers; trefoil knot; mean-square radius of gyration; scattering function; Monte Carlo simulation semiflexible polymer; ring polymers; trefoil knot; mean-square radius of gyration; scattering function; Monte Carlo simulation
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Abe, H.; Ida, D. Mean-Square Radius of Gyration and Scattering Function of Semiflexible Ring Polymers of the Trefoil Knot. Polymers 2016, 8, 271.

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