Universality in the diffusion of knots
| dc.creator | Kanaeda, Naoko | |
| dc.creator | Deguchi, Tetsuo | |
| dc.date | 2008-07-02 | |
| dc.date | 2009-03-25 | |
| dc.date.accessioned | 2026-07-07T12:55:53Z | |
| dc.date.available | 2026-07-07T12:55:53Z | |
| dc.description | We have evaluated a universal ratio between diffusion constants of the ring polymer with a given knot $K$ and a linear polymer with the same molecular weight in solution through the Brownian dynamics under hydrodynamic interaction. The ratio is found to be constant with respect to the number of monomers, $N$, and hence the estimate at some $N$ should be valid practically over a wide range of $N$ for various polymer models. Interestingly, the ratio is determined by the average crossing number ($N_{AC}$) of an ideal conformation of knotted curve $K$, i.e. that of the ideal knot. The $N_{AC}$ of ideal knots should therefore be fundamental in the dynamics of knots. | |
| dc.description | 8 pages, 14 figures | |
| dc.identifier | https://arxiv.org/abs/0807.0304 | |
| dc.identifier | http://arxiv.org/abs/0807.0304 | |
| dc.identifier | Phys. Rev. E 79, 021806 (2009) [5 pages] | |
| dc.identifier | doi:10.1103/PhysRevE.79.021806 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/224403 | |
| dc.subject | Soft Condensed Matter | |
| dc.title | Universality in the diffusion of knots | |
| dc.type | text |