doi:10.1088/1742-5468/2014/05/P05014engBaity-Jesi, M.Baños, R. A.Cruz, A.Fernandez, L. A.Gil-Narvion, J.Gordillo-Guerrero, A.Iñiguez, D.Maiorano, A.Mantovani, F.Marinari, E.Martin-Mayor, V.Monforte-Garcia, J.Muñoz Sudupe, A.Navarro, D.Parisi, G.Perez-Gaviro, S.Pivanti, M.Ricci-Tersenghi, F.Ruiz-Lorenzo, J.Schifano, S. F.Seoane, B.Tarancon, A.Tripiccione, R.Yllanes, D.The three-dimensional Ising spin glass in an external magnetic field: The role of the silent majorityART-2014-86427We perform equilibrium parallel-tempering simulations of the 3D Ising Edwards–Anderson spin glass in a field, using the Janus computer. A traditional analysis shows no signs of a phase transition. However, we encounter dramatic fluctuations in the behaviour of the model: averages over all the data only describe the behaviour of a small fraction of the data. Therefore, we develop a new approach to study the equilibrium behaviour of the system, by classifying the measurements as a function of a conditioning variate. We propose a finite-size scaling analysis based on the probability distribution function of the conditioning variate, which may accelerate the convergence to the thermodynamic limit. In this way, we find a non-trivial spectrum of behaviours, where some of the measurements behave as the average, while the majority show signs of scale invariance. As a result, we can estimate the temperature interval where the phase transition in a field ought to lie, if it exists. Although this would-be critical regime is unreachable with present resources, the numerical challenge is finally well posed.2014http://zaguan.unizar.es/record/15220010.1088/1742-5468/2014/05/P05014http://zaguan.unizar.es/record/152200oai:zaguan.unizar.es:152200info:eu-repo/grantAgreement/EC/FP7/247328/EU/Critical Phenomena in Random Systems/CRIPHERASYinfo:eu-repo/grantAgreement/ES/MICINN/TEC2010-19207info:eu-repo/grantAgreement/ES/MINECO/FIS2010-16587info:eu-repo/grantAgreement/ES/MINECO/FIS2012-35719-C02Journal of Statistical Mechanics: Theory and Experiment 2014, 5 (2014), P05014 [40 pp.]All rights reservedhttp://www.europeana.eu/rights/rr-f/info:eu-repo/semantics/openAccess