Comment on "Ultrametricity in the Edwards-Anderson Model"
| dc.creator | Jorg, Thomas | |
| dc.creator | Krzakala, Florent | |
| dc.date | 2007-09-06 | |
| dc.date.accessioned | 2026-07-07T09:32:34Z | |
| dc.date.available | 2026-07-07T09:32:34Z | |
| dc.description | In a recent interesting Letter Contucci {\it et al.} have investigated several properties of the three-dimensional (3d) Edwards-Anderson (EA) Ising spin glass. They claim to have found strong numerical evidence for the presence of a complex ultrametric structure similar to the one described by the replica symmetry breaking solution of the mean field model. We illustrate by numerical simulations that the relations used by Contucci {\it et al.} as evidence for an ultrametric structure in the 3d EA model are fulfilled to similar accuracy in the two-dimensional EA model, which is well-described by the droplet picture and has no spin glass phase at finite temperature. We conclude that the data presented in the Contucci {\it et al.} Letter is not sufficient to dismiss the possibility that, e.g., the droplet model might describe the behavior of the 3d EA model. | |
| dc.description | 1 page, 1 figure | |
| dc.identifier | https://arxiv.org/abs/0709.0894 | |
| dc.identifier | http://arxiv.org/abs/0709.0894 | |
| dc.identifier | Phys. Rev. Lett. 100, 159701 (2008) | |
| dc.identifier | doi:10.1103/PhysRevLett.100.159701 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/158823 | |
| dc.subject | Disordered Systems and Neural Networks | |
| dc.subject | Statistical Mechanics | |
| dc.title | Comment on "Ultrametricity in the Edwards-Anderson Model" | |
| dc.type | text |