TY - JOUR

T1 - Topological effects on statics and dynamics of knotted polymers

AU - Sheng, Yu Jane

AU - Lai, Pik Yin

AU - Tsao, Heng Kwong

PY - 1998

Y1 - 1998

N2 - Using dynamic Monte Carlo simulations, our results on the radii of gyration of knot polymers suggest that prime and two-factor composite knots belong to different groups. From the studies of nonequilibrium relaxation dynamics on cut prime knots, we find that even prime knots should be classified into different groups, such as [Formula Presented] [Formula Presented] and [Formula Presented] etc., based on their topological similarity and their polynomial invariants. By scaling calculations, the nonequilibrium relaxation time is found to increase roughly as [Formula Presented] where [Formula Presented] is the topological invariant length-to-diameter ratio of the knot at its maximum inflated state. This prediction is further confirmed by our data.

AB - Using dynamic Monte Carlo simulations, our results on the radii of gyration of knot polymers suggest that prime and two-factor composite knots belong to different groups. From the studies of nonequilibrium relaxation dynamics on cut prime knots, we find that even prime knots should be classified into different groups, such as [Formula Presented] [Formula Presented] and [Formula Presented] etc., based on their topological similarity and their polynomial invariants. By scaling calculations, the nonequilibrium relaxation time is found to increase roughly as [Formula Presented] where [Formula Presented] is the topological invariant length-to-diameter ratio of the knot at its maximum inflated state. This prediction is further confirmed by our data.

UR - http://www.scopus.com/inward/record.url?scp=0000699320&partnerID=8YFLogxK

U2 - 10.1103/PhysRevE.58.R1222

DO - 10.1103/PhysRevE.58.R1222

M3 - 期刊論文

AN - SCOPUS:0000699320

SN - 1063-651X

VL - 58

SP - R1222-R1225

JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

IS - 2

ER -