39 citations · 197 across the 9 of their papers we have counts for
9 papers
Scattering functions of knotted ring polymers
Miyuki K. Shimamura, Kumiko Kamata, Akihisa Yao +1
We discuss the scattering function of a Gaussian random polygon with N nodes under a given topological constraint through simulation. We obtain the Kratky plot of a Gaussian polygo…
Geometrical complexity of conformations of ring polymers under topological constraints
Miyuki K. Shimamura, Tetsuo Deguchi
One measure of geometrical complexity of a spatial curve is the number of crossings in a planar projection of the curve. For -noded ring polymers with a fixed knot type, we eval…
Knot complexity and the probability of random knotting
Miyuki K. Shimamura, Tetsuo Deguchi
The probability of a random polygon (or a ring polymer) having a knot type should depend on the complexity of the knot . Through computer simulation using knot invariants, w…
Finite-size and asymptotic behaviors of the gyration radius of knotted cylindrical polygons
Miyuki K. Shimamura, Tetsuo Deguchi
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 finit…
Anomalous finite-size effects and canonical asymptotic behaviors for the mean-squared gyration radius of Gaussian random knots
Miyuki K. Shimamura, Tetsuo Deguchi
Anomalously strong finite-size effects have been observed for the mean square radius of gyration of Gaussian random polygons with a fixed knot as a function of the numb…
Gyration radius of a circular polymer under a topological constraint with excluded volume
Miyuki K. Shimamura, Tetsuo Deguchi
It is nontrivial whether the average size of a ring polymer should become smaller or larger under a topological constraint. Making use of some knot invariants, we evaluate numerica…