Enclosed area distribution in percolation
| dc.creator | Ziff, Robert M. | |
| dc.date | 2005-10-24 | |
| dc.date.accessioned | 2026-07-07T06:45:27Z | |
| dc.date.available | 2026-07-07T06:45:27Z | |
| dc.description | The number of two-dimensional percolation clusters whose external hulls enclose an area greater than A, in a system of area Omega, behaves at the critical point as C Ω/A for large A, where C = 1/(8 pi sqrt(3)). Here we show that away from the critical point this factor is multiplied by a scaling function that is asymptotically proportional to a simple exponential exp(-A/A*) where A* scales as |p - pc|^(-2 nu). The fit is better than for Kunz and Souillard sub-critical scaling, which would predict the asymptotic behavior exp(-(A/A*)^(2/D) where D = 91/48 is the fractal dimension. | |
| dc.description | Talk presented in the StatPhys22 conference in Bangalore, India, July 5-9 2004 | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0510633 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0510633 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/103047 | |
| dc.subject | Disordered Systems and Neural Networks | |
| dc.title | Enclosed area distribution in percolation | |
| dc.type | text |