RT Journal Article
T1 Nature of the spin-glass phase at experimental length scales
A1 Fernández Pérez, Luis Antonio
A1 Martín Mayor, Víctor
A1 Muñoz Sudupe, Antonio
A1 otros, ...
AB 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.
PB IOP Publishing
SN 1742-5468
YR 2010
FD 2010-06
LK https://hdl.handle.net/20.500.14352/45056
UL https://hdl.handle.net/20.500.14352/45056
LA eng
NO © 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.
NO Ministerio de Ciencia e Innovación (MICINN)
NO UCM-Banco de Santander
NO FPU fellows (Spain)
NO DGA fellows
NO FECYT (Spain)
DS Docta Complutense
RD 9 abr 2025