期刊
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
卷 -, 期 -, 页码 -出版社
IOP PUBLISHING LTD
DOI: 10.1088/1742-5468/2014/05/P05014
关键词
disordered systems (theory); spin glasses (theory)
资金
- EU [UNZA05-33-003]
- European Research Council under the European Union [247328]
- MINECO (Spain) [FIS2012-35719-C02, FIS2010-16587, TEC2011-19207]
- SUMA project of INFN (Italy)
- Junta de Extremadura [GR10158]
- European Union [PIRSES-GA-2011-295302]
- Italian Research Ministry through the FIRB [RBFR086NN1]
- FPU programme (Ministerio de Educacion, Spain)
- FPI programme (Diputacion de Aragon, Spain)
- ARAID foundation
- FPI programme (Ministerio de Economia, Spain)
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. 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.
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