2008/02/25 by Shinya Saka, Hiroshi Takano · 1 citation
Chemical Engineering · Materials Science · Physics and Astronomy · #Block Copolymer Self-Assembly #Material Dynamics and Properties #Rheology and Fluid Dynamics Studies #cond-mat.mtrl-sci #cond-mat.soft
paper · pdf · doi:10.1143/jpsj.77.034001
published as J. Phys. Soc. Jpn. 77 (2008) 034001 · 13 pages, 5 figures, uses jpsj2.cls
openalex publication_date 2008/02/25 · arxiv created 2008/06/10 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
The relaxation of a single knotted ring polymer is studied by Brownian dynamics simulations. The relaxation rate lambdaq for the wave number q is estimated by the least square fit of the equilibrium time-displaced correlation function to a double exponential decay at long times. The relaxation rate distribution of a single ring polymer with the trefoil knot appears to behave as lambdaq=A(1/N^)x for q=1 and lambdaq=A'(q/N)x' for q=2 and 3, where x=2.61, x'=2.02 and A>A'. The wave number q of the slowest relaxation rate for each N is given by q=2 for small values of N, while it is given by q=1 for large values of N. This crossover corresponds to the change of the structure of the ring polymer caused by the localization of the knotted part to a part of the ring polymer.