Under-knotted and Over-knotted Polymers: Unrestricted Loops
| dc.creator | Moore, N. T. | |
| dc.creator | Lua, R. | |
| dc.creator | Grosberg, A. Y. | |
| dc.date | 2004-03-18 | |
| dc.date | 2004-03-18 | |
| dc.date.accessioned | 2026-07-07T02:57:00Z | |
| dc.date.available | 2026-07-07T02:57:00Z | |
| dc.description | We present computer simulations to examine probability distributions of gyration radius for the no-thickness closed polymers of N straight segments of equal length. We are particularly interested in the conditional distributions when the topology of the loop is quenched to be a certain knot, K. The dependence of probability distribution on length, N, as well as topological state K are the primary parameters of interest. Our results confirm that the mean square average gyration radius for trivial knots scales with N in the same way as for self-avoiding walks, where the cross-over length to this "under-knotted" regime is the same as the characteristic length of random knotting, N_0. Probability distributions of gyration radii are somewhat more narrow for topologically restricted under-knotted loops compared to phantom loops, meaning knots are entropically more rigid than phantom polymers. We also found evidence that probability distributions approach a universal shape at N>N_0 for all simple knots. | |
| dc.description | 22 pages, 8 figures, submitted in conjunction with cond-mat/0403413 | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0403457 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0403457 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/23556 | |
| dc.subject | Soft Condensed Matter | |
| dc.title | Under-knotted and Over-knotted Polymers: Unrestricted Loops | |
| dc.type | text |