RT Journal Article
T1 The three-dimensional Ising spin glass in an external magnetic field: the role of the silent majority
A1 Baity Jesi, Marco
A1 Fernández Pérez, Luis Antonio
A1 Martín Mayor, Víctor
A1 Muñoz Sudupe, Antonio
AB We 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. Yet, we encounter dramatic fluctuations in the behaviour of the model: Averages over all the data only describe the behaviour of a small fraction of it. 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 a part of the measurements behaves as the average, while the majority of them shows 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.
PB IOP Publishing
SN 1742-5468
YR 2014
FD 2014-05-16
LK https://hdl.handle.net/20.500.14352/35124
UL https://hdl.handle.net/20.500.14352/35124
LA eng
NO © 2014 IOP Publishing Ltd and SISSA Medialab srl. Artículo firmado por 24 autores. The Janus project has been partially supported by the EU (FEDER funds, No. UNZA05-33-003, MEC DGA, Spain), by the European Research Council under the European Union's Seventh Framework Programme (FP7/2007–2013, ERC grant agreement No. 247328), by MINECO (Spain) (contracts FIS2012-35719-C02, FIS2010-16587, TEC2010-19207), by the SUMA project of INFN (Italy), by the Junta de Extremadura (GR10158) and by the European Union (PIRSES-GA 2011-295302). FR-T was supported by the Italian Research Ministry through the FIRB project No. RBFR086NN1, MB-J was supported by the FPU programme (Ministerio de Educación, Spain), RAB and JM-G were supported by the FPI programme (Diputación de Aragón, Spain) and SP-G was supported by the ARAID foundation; finally JMG-N was supported by the FPI programme (Ministerio de Economía, Spain).
NO Unión Europea. FP7
NO EU (FEDER funds Spain)
NO Ministerio de Economía y Competitividad (MINECO)
NO INFN (Italy)
NO Junta de Extremadura (Spain)
NO European Union
NO Italian Research Ministry
NO FPU programme (Ministerio de Educación, Spain)
NO FPI programme (Diputación de Aragón, Spain)
NO ARAID foundation
NO FPI programme (Ministerio de Economía, Spain)
DS Docta Complutense
RD 17 abr 2025