33 citations · 106 across the 10 of their papers we have counts for
4 papers · 1 filter
Effects of multiple cycles on the resistance distance of a strand in a homogeneous polymer network
Erica Uehara, Tetsuo Deguchi
We show that the resistance distance between a pair of adjacent vertices in a phantom network generated randomly by a Monte-Carlo method depends on the existence of short cycles ar…
Scaling behavior of knotted random polygons and self-avoiding polygons: Topological swelling with enhanced exponent
Erica Uehara, Tetsuo Deguchi
We show that the average size of self-avoiding polygons (SAP) with a fixed knot is much larger than that of no topological constraint if the excluded volume is small and the number…
Knotting probability of self-avoiding polygons under a topological constraint
Erica Uehara, Tetsuo Deguchi
We define the knotting probability of a knot by the probability for a random polygon (RP) or self-avoiding polygon (SAP) of segments having the knot type . We show funda…
Statistical and hydrodynamic properties of topological polymers for various graphs showing enhanced short-range correlation
Erica Uehara, Tetsuo Deguchi
For various polymers with different topological structures we numerically evaluate the mean-square radius of gyration and the hydrodynamic radius systematically through simulation.…