Europhys. Lett.
Volume 71, Number 5, September 2005
Page(s) 824 - 830
Section Condensed matter: electronic structure, electrical, magnetic, and optical properties
Published online 29 July 2005
Europhys. Lett., 71 (5), pp. 824-830 (2005)
DOI: 10.1209/epl/i2005-10149-4

The mean-field infinite range $\mth{p=3}$ spin glass: Equilibrium landscape and correlation time scales

A. Billoire1, L. Giomi2, 3 and E. Marinari2

1  Service de Physique Théorique, CEA Saclay - 91191 Gif-sur-Yvette, France
2  Dipartimento di Fisica, SMC and UdR1 of INFM and INFN Università di Roma "La Sapienza" - P.le A. Moro 2, 00185 Roma, Italy
3  Physics Department, Syracuse University, Syracuse, NY 13244-1130, USA

received 17 January 2005; accepted in final form 1 July 2005
published online 29 July 2005

We investigate numerically the dynamical behavior of the mean field 3-spin spin glass model: we study equilibrium dynamics, and compute equilibrium time scales as a function of the system size V. We find that for increasing volumes the time scale $\tau$ increases like $\ln\tau\propto V$. We also present an accurate study of the equilibrium static properties of the system.

75.50.Lk - Spin glasses and other random magnets.
75.10.Nr - Spin-glass and other random models.
75.40.Gb - Dynamic properties (dynamic susceptibility, spin waves, spin diffusion, dynamic scaling, etc.).

© EDP Sciences 2005