AI Article Synopsis
- The study simulates the behavior of double-ring polymers in solution by evaluating their mean-square radius of gyration and diffusion coefficient using self-avoiding double polygons made of cylindrical segments.
- It finds that the statistical and dynamical properties of these polymers are influenced by the linking number of the twin rings, particularly showing that those with zero linking number have a larger radius compared to those without topological constraints.
- Furthermore, the results reveal that this radius ratio remains stable regardless of the number of vertices (N), indicating distinct behavior for large-N scenarios compared to knotted random polygons.
Article Abstract
For a double-ring polymer in solution we evaluate the mean-square radius of gyration and the diffusion coefficient through simulation of off-lattice self-avoiding double polygons consisting of cylindrical segments with radius rex of unit length. Here, a self-avoiding double polygon consists of twin self-avoiding polygons which are connected by a cylindrical segment. We show numerically that several statistical and dynamical properties of double-ring polymers in solution depend on the linking number of the constituent twin ring polymers. The ratio of the mean-square radius of gyration of self-avoiding double polygons with zero linking number to that of no topological constraint is larger than 1, in particular, when the radius of cylindrical segments rex is small. However, the ratio is almost constant with respect to the number of vertices, N, and does not depend on N. The large-N behavior of topological swelling is thus quite different from the case of knotted random polygons.
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| http://dx.doi.org/10.1063/1.4862500 | DOI Listing |
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