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
Author to whom correspondence should be addressed.
Academic Editor: Martin Kröger
Received: 13 May 2016 / Revised: 22 July 2016 / Accepted: 22 July 2016 / Published: 27 July 2016
A Monte Carlo study of the mean-square radius of gyration
and scattering function
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
as functions of the reduced contour length
, defined as the total contour length L
divided by the stiffness parameter
, 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.
This is an open access article distributed under the Creative Commons Attribution License
which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).
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MDPI and ACS Style
Abe, H.; Ida, D. Mean-Square Radius of Gyration and Scattering Function of Semiflexible Ring Polymers of the Trefoil Knot. Polymers 2016, 8, 271.
Abe H, Ida D. Mean-Square Radius of Gyration and Scattering Function of Semiflexible Ring Polymers of the Trefoil Knot. Polymers. 2016; 8(8):271.
Abe, Hiroki; Ida, Daichi. 2016. "Mean-Square Radius of Gyration and Scattering Function of Semiflexible Ring Polymers of the Trefoil Knot." Polymers 8, no. 8: 271.
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