Finite-size and asymptotic behaviors of the gyration radius of knotted cylindrical polygons
arXiv:cond-mat/0202106 · doi:10.1103/PhysRevE.65.051802
Abstract
Several nontrivial properties are shown for the mean square radius of gyration of ring polymers with a fixed knot type K. Through computer simulation, we discuss both finite-size and asymptotic behaviors of the gyration radius under the topological constraint for self-avoiding polygons consisting of N cylindrical segments with radius r. We find that the average size of ring polymers with a knot K can be much larger than that of no topological constraint. The effective expansion due to the topological constraint depends strongly on the parameter r which is related to the excluded volume. The topological expansion is particularly significant for the small r case, where the simulation result is associated with that of random polygons with the knot K.
19 pages,5 figures
References in corpus (2)
Cited by in corpus (13)
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- Exponents of interchain correlation for self-avoiding walks and knotted self-avoiding polygons
- Scaling behavior of knotted random polygons and self-avoiding polygons: Topological swelling with enhanced exponent
- Average Structures of a Single Knotted Ring Polymer