The mean-field infinite range spin glass: Equilibrium landscape and correlation time scalesA. 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 increases like . 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.).
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