Stability properties and probability distribution of multi-overlaps in dilute spin glasses
| dc.creator | Barra, Adriano | |
| dc.creator | De Sanctis, Luca | |
| dc.date | 2006-12-01 | |
| dc.date | 2007-05-31 | |
| dc.date.accessioned | 2026-07-07T08:05:41Z | |
| dc.date.available | 2026-07-07T08:05:41Z | |
| dc.description | We prove that the Aizenman-Contucci relations, well known for fully connected spin glasses, hold in diluted spin glasses as well. We also prove more general constraints in the same spirit for multi-overlaps, systematically confirming and expanding previous results. The strategy we employ makes no use of self-averaging, and allows us to generate hierarchically all such relations within the framework of Random Multi-Overlap Structures. The basic idea is to study, for these structures, the consequences of the closely related concepts of stochastic stability, quasi-stationarity under random shifts, factorization of the trial free energy. The very simple technique allows us to prove also the phase transition for the overlap: it remains strictly positive (in average) below the critical temperature if a suitable external field is first applied and then removed in the thermodynamic limit. We also deduce, from a cavity approach, the general form of the constraints on the distribution of multi-overlaps found within Quasi-Stationary Random Multi-Overlap Structures. | |
| dc.description | 31 pages | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0612041 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0612041 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/130356 | |
| dc.subject | Statistical Mechanics | |
| dc.subject | Disordered Systems and Neural Networks | |
| dc.title | Stability properties and probability distribution of multi-overlaps in dilute spin glasses | |
| dc.type | text |