Ground-state energy fluctuations in the Sherrington-Kirkpatrick model
| dc.creator | Palassini, Matteo | |
| dc.date | 2003-07-29 | |
| dc.date | 2003-08-27 | |
| dc.date.accessioned | 2026-07-07T02:52:39Z | |
| dc.date.available | 2026-07-07T02:52:39Z | |
| dc.description | The probability distribution function (PDF) of the ground-state energy in the Sherrington-Kirkpatrick spin-glass model is numerically determined by collecting a large statistical sample of ground states, computed using a genetic algorithm. It is shown that the standard deviation of the ground-state energy per spin scales with the number of spins, N, as N^{-ρ} with ρ\simeq 0.765, but the value ρ=3/4 is also compatible with the data, while the previously proposed value ρ=5/6 is ruled out. The PDF satisfies finite-size scaling with a non-Gaussian asymptotic PDF, which can be fitted remarkably well by the Gumbel distribution for the m-th smallest element in a set of random variables, with m \simeq 6. | |
| dc.description | 4 pages, 4 eps figures. Some changes in the text, references corrected, plot of Tracy-Widom distribution added | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0307713 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0307713 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/21921 | |
| dc.subject | Disordered Systems and Neural Networks | |
| dc.title | Ground-state energy fluctuations in the Sherrington-Kirkpatrick model | |
| dc.type | text |