Nature of the spin-glass phase at experimental length scales
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=0.64 Tc. We demonstrate the relevance of equilibrium finite-size simulations to understand experimental non-equilibrium spin glasses in the thermodynamical limit by establishing a time-length dictionary. We conclude that non-equilibrium experiments performed on a time scale of one hour can be matched with equilibrium results on L=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 to ensure equilibration in parallel tempering simulations.
Keywords
Cite
@article{arxiv.1003.2569,
title = {Nature of the spin-glass phase at experimental length scales},
author = {Janus Collaboration and R. Alvarez Banos and A. Cruz and L. A. Fernandez and J. M. Gil-Narvion and A. Gordillo-Guerrero and M. Guidetti and A. Maiorano and F. Mantovani and E. Marinari and V. Martin-Mayor and J. Monforte-Garcia and A. Munoz Sudupe and D. Navarro and G. Parisi and S. Perez-Gaviro and J. J. Ruiz-Lorenzo and S. F. Schifano and B. Seoane and A. Tarancon and R. Tripiccione and D. Yllanes},
journal= {arXiv preprint arXiv:1003.2569},
year = {2015}
}
Comments
48 pages, 19 postscript figures, 9 tables. Version accepted for publication in the Journal of Statistical Mechanics