SLE in the three-state Potts model - a numerical study
| dc.creator | Gamsa, Adam | |
| dc.creator | Cardy, John | |
| dc.date | 2007-05-10 | |
| dc.date | 2007-08-14 | |
| dc.date.accessioned | 2026-07-07T08:23:16Z | |
| dc.date.available | 2026-07-07T08:23:16Z | |
| dc.description | The scaling limit of the spin cluster boundaries of the Ising model with domain wall boundary conditions is SLE with kappa=3. We hypothesise that the three-state Potts model with appropriate boundary conditions has spin cluster boundaries which are also SLE in the scaling limit, but with kappa=10/3. To test this, we generate samples using the Wolff algorithm and test them against predictions of SLE: we examine the statistics of the Loewner driving function, estimate the fractal dimension and test against Schramm's formula. The results are in support of our hypothesis. | |
| dc.description | 32 pages, 41 figures | |
| dc.identifier | https://arxiv.org/abs/0705.1510 | |
| dc.identifier | http://arxiv.org/abs/0705.1510 | |
| dc.identifier | Adam Gamsa et al J. Stat. Mech. (2007) P08020 | |
| dc.identifier | doi:10.1088/1742-5468/2007/08/P08020 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/135933 | |
| dc.subject | Statistical Mechanics | |
| dc.subject | Mathematical Physics | |
| dc.title | SLE in the three-state Potts model - a numerical study | |
| dc.type | text |