39 citations · 197 across the 9 of their papers we have counts for
4 papers · 1 filter
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…
Topological entropy of a stiff ring polymer and its connection to DNA knots
Miyuki K. Shimamura, Tetso Deguchi
We discuss the entropy of a circular polymer under a topological constraint. We call it the {\it topological entropy} of the polymer, in short. A ring polymer does not change its t…
On the Dominance of Trivial Knots among SAPs on a Cubic Lattice
Akihisa Yao, Hiroshi Matsuda, Hiroshi Tsukahara +2
The knotting probability is defined by the probability with which an -step self-avoiding polygon (SAP) with a fixed type of knot appears in the configuration space. We evaluate…