Fernández Pérez, Luis AntonioMartín Mayor, VíctorMuñoz Sudupe, Antoniootros, ...2023-06-202023-06-202010-061742-546810.1088/1742-5468/2010/06/P06026https://hdl.handle.net/20.500.14352/45056© 2010 IOP Publishing Ltd and SISSA. Artículo firmado por 21 autores. We acknowledge support from MICINN, Spain, through research contracts No. TEC2007- 64188, FIS2006-08533-C03, FIS2007-60977, FIS2009-12648-C03 and from UCM-Banco de Santander. BS and DY are FPU fellows (Spain) and RAB and JM-G are DGA fellows. SPG was supported by FECYT (Spain). The authors would like to thank the Arénaire team, especially J Detrey and F de Dinechin for the VHDL code of the logarithm function [76]. M Moore posed interesting questions that helped us sharpen the discussion in section 4.3.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 ≈ 0.64Tc. 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.engjournal articlehttp://doi.org/10.1088/1742-5468/2010/06/P06026http://iopscience.iop.org/http://arxiv.org/abs/1003.2569v2open access5351-73Replica symmetry-breakingMonte-Carlo simulationsDroplet pictureModelEquilibriumSystemsDimensionsComputerDynamicsOverlaps.Física (Física)Física-Modelos matemáticos22 Física