We present a massive equilibrium simulation of the three-dimensional Ising spin glass at low temperatures. The Janus special-purpose computer has allowed us to equilibrate, using parallel tempering, L = 32 lattices down to T approximate to 0.64T(c). We demonstrate the relevance of equilibrium finite size simulations to understanding experimental non-equilibrium spin glasses in the thermodynamical limit by establishing a time-length dictionary. We conclude that non-equilibrium experiments performed on a timescale of 1 h can be matched with equilibrium results on L approximate to 110 lattices. A detailed investigation of the probability distribution functions of the spin and link overlap, as well as of their correlation functions, shows that Replica Symmetry Breaking is the appropriate theoretical framework for the physically relevant length scales. Besides, we improve over existing methodologies in ensuring equilibration in parallel tempering simulations.
Nature of the spin-glass phase at experimental length scales / R. A., Banos; R., Alvarez Banos; A., Cruz; L. A., Fernandez; J. M., Gil Narvion; A., Gordillo Guerrero; M., Guidetti; Maiorano, Andrea; F., Mantovani; Marinari, Vincenzo; E., Marinari; V., Martin Mayor; J., Monforte Garcia; A. M., Sudupe; A., Munoz Sudupe; A., Muoz Sudupe; D., Navarro; Parisi, Giorgio; S., Perez Gaviro; J. J., Ruiz Lorenzo; S. F., Schifano; B., Seoane; A., Tarancon; R., Tripiccione; D., Yllanes. - In: JOURNAL OF STATISTICAL MECHANICS: THEORY AND EXPERIMENT. - ISSN 1742-5468. - 2010:6(2010), p. P06026. [10.1088/1742-5468/2010/06/p06026]
Nature of the spin-glass phase at experimental length scales
MAIORANO, Andrea;MARINARI, Vincenzo;PARISI, Giorgio;
2010
Abstract
We present a massive equilibrium simulation of the three-dimensional Ising spin glass at low temperatures. The Janus special-purpose computer has allowed us to equilibrate, using parallel tempering, L = 32 lattices down to T approximate to 0.64T(c). We demonstrate the relevance of equilibrium finite size simulations to understanding experimental non-equilibrium spin glasses in the thermodynamical limit by establishing a time-length dictionary. We conclude that non-equilibrium experiments performed on a timescale of 1 h can be matched with equilibrium results on L approximate to 110 lattices. A detailed investigation of the probability distribution functions of the spin and link overlap, as well as of their correlation functions, shows that Replica Symmetry Breaking is the appropriate theoretical framework for the physically relevant length scales. Besides, we improve over existing methodologies in ensuring equilibration in parallel tempering simulations.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.