On the TAP approach to the spherical p-spin SG model
| dc.creator | Crisanti, A. | |
| dc.creator | Sommers, H. -J. | |
| dc.date | 1994-06-13 | |
| dc.date.accessioned | 2026-07-07T03:07:18Z | |
| dc.date.available | 2026-07-07T03:07:18Z | |
| dc.description | In this letter we analyze the TAP approach to the spherical $p$-spin spin glass model in zero external field. The TAP free energy is derived by summing up all the relevant diagrams for $N\to\infty$ of a diagrammatic expansion of the free energy. We find that if the multiplicity of the TAP solutions is taken into account, then there is a first order transition in the order parameter at the critical temperature $T_{\rm c}$ higher than that predicted by the replica solution $T_{\rm RSB}$, but in agreement with the results of dynamics. The transition is of ``geometrical'' nature since the new state has larger free energy but occupies the largest volume in phase space. The transition predicted by the replica calculation is also of ``geometrical'' nature since it corresponds to the states with smallest free energy with positive complexity. | |
| dc.description | 10 Pages + 3 Figures, RevTeX 3.0 | |
| dc.identifier | https://arxiv.org/abs/cond-mat/9406051 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/9406051 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/27121 | |
| dc.subject | Condensed Matter | |
| dc.title | On the TAP approach to the spherical p-spin SG model | |
| dc.type | text |