Exact results for the universal area distribution of clusters in percolation, Ising and Potts models
| dc.creator | Cardy, John | |
| dc.creator | Ziff, Robert | |
| dc.date | 2002-05-20 | |
| dc.date | 2002-08-06 | |
| dc.date.accessioned | 2026-07-07T02:45:32Z | |
| dc.date.available | 2026-07-07T02:45:32Z | |
| dc.description | At the critical point in two dimensions, the number of percolation clusters of enclosed area greater than A is proportional to 1/A, with a proportionality constant C that is universal. We show theoretically (based upon Coulomb gas methods), and verify numerically to high precision, that C = 1/(8 sqrt(3) pi) = 0.022972037.... We also derive, and verify to varying precision, the corresponding constant for Ising spin clusters, and for Fortuin-Kasteleyn clusters of the Q=2, 3 and 4-state Potts models. | |
| dc.description | 42 pages, 9 figures, accepted for publication, J. Statis. Phys | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0205404 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0205404 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/19332 | |
| dc.subject | Disordered Systems and Neural Networks | |
| dc.subject | Mathematical Physics | |
| dc.title | Exact results for the universal area distribution of clusters in percolation, Ising and Potts models | |
| dc.type | text |