Relaxation of a Single Knotted Ring Polymer
| dc.creator | Saka, Shinya | |
| dc.creator | Takano, Hiroshi | |
| dc.date | 2008-06-10 | |
| dc.date.accessioned | 2026-07-07T09:43:35Z | |
| dc.date.available | 2026-07-07T09:43:35Z | |
| dc.description | The relaxation of a single knotted ring polymer is studied by Brownian dynamics simulations. The relaxation rate lambda_q 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 lambda_q=A(1/N^)x for q=1 and lambda_q=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. | |
| dc.description | 13 pages, 5 figures, uses jpsj2.cls | |
| dc.identifier | https://arxiv.org/abs/0806.1612 | |
| dc.identifier | http://arxiv.org/abs/0806.1612 | |
| dc.identifier | J. Phys. Soc. Jpn. 77 (2008) 034001 | |
| dc.identifier | doi:10.1143/JPSJ.77.034001 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/162616 | |
| dc.subject | Soft Condensed Matter | |
| dc.subject | Materials Science | |
| dc.title | Relaxation of a Single Knotted Ring Polymer | |
| dc.type | text |