Bond percolation of polymers
| dc.creator | Gopalakrishnan, Manoj | |
| dc.creator | Schmittmann, Beate | |
| dc.creator | Zia, R. K. P. | |
| dc.date | 2004-04-12 | |
| dc.date | 2004-07-16 | |
| dc.date.accessioned | 2026-07-07T02:57:34Z | |
| dc.date.available | 2026-07-07T02:57:34Z | |
| dc.description | We study bond percolation of $N$ non-interacting Gaussian polymers of $\ell$ segments on a 2D square lattice of size $L$ with reflecting boundaries. Through simulations, we find the fraction of configurations displaying {\em no} connected cluster which span from one edge to the opposite edge. From this fraction, we define a critical segment density $ρ_{c}^L(\ell)$ and the associated critical fraction of occupied bonds $p_{c}^L(\ell)$, so that they can be identified as the percolation threshold in the $L \to \infty$ limit. Whereas $p_{c}^L(\ell)$ is found to decrease monotonically with $\ell$ for a wide range of polymer lengths, $ρ_{c}^L(\ell)$ is non-monotonic. We give physical arguments for this intriguing behavior in terms of the competing effects of multiple bond occupancies and polymerization. | |
| dc.description | 4 pages with 6 figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0404266 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0404266 | |
| dc.identifier | J. Phys. A 37(29)L337-L343 (2004) | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/23715 | |
| dc.subject | Statistical Mechanics | |
| dc.subject | Disordered Systems and Neural Networks | |
| dc.title | Bond percolation of polymers | |
| dc.type | text |