39 citations · 197 across the 9 of their papers we have counts for
Showing 2002Show all
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cond-mat.soft2002★ 9 cited
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…
cond-mat.soft2002★ 24 cited
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…
cond-mat.soft2002★ 39 cited
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…