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The three-dimensional Ising spin glass in an external magnetic field: the role of the silent majority

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dc.contributor.authorBaity Jesi, Marco
dc.contributor.authorFernández Pérez, Luis Antonio
dc.contributor.authorMartín Mayor, Víctor
dc.contributor.authorMuñoz Sudupe, Antonio
dc.date.accessioned2023-06-19T15:00:54Z
dc.date.available2023-06-19T15:00:54Z
dc.date.issued2014-05-16
dc.description© 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).
dc.description.abstractWe 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.
dc.description.departmentDepto. de Física Teórica
dc.description.facultyFac. de Ciencias Físicas
dc.description.refereedTRUE
dc.description.sponsorshipUnión Europea. FP7
dc.description.sponsorshipEU (FEDER funds Spain)
dc.description.sponsorshipMinisterio de Economía y Competitividad (MINECO)
dc.description.sponsorshipINFN (Italy)
dc.description.sponsorshipJunta de Extremadura (Spain)
dc.description.sponsorshipEuropean Union
dc.description.sponsorshipItalian Research Ministry
dc.description.sponsorshipFPU programme (Ministerio de Educación, Spain)
dc.description.sponsorshipFPI programme (Diputación de Aragón, Spain)
dc.description.sponsorshipARAID foundation
dc.description.sponsorshipFPI programme (Ministerio de Economía, Spain)
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/36341
dc.identifier.doi10.1088/1742-5468/2014/05/P05014
dc.identifier.issn1742-5468
dc.identifier.officialurlhttp://doi.org/10.1088/1742-5468/2014/05/P05014
dc.identifier.relatedurlhttp://iopscience.iop.org/
dc.identifier.urihttps://hdl.handle.net/20.500.14352/35124
dc.journal.titleJournal of statistical mechanics : theory and experiment
dc.language.isoeng
dc.publisherIOP Publishing
dc.relation.projectIDCriPheRaSy (247328)
dc.relation.projectIDSPIDER (295302)
dc.relation.projectIDUNZA05-33-003
dc.relation.projectIDFIS2012-35719-C02
dc.relation.projectIDMEC-DGA
dc.relation.projectIDFIS2010-16587
dc.relation.projectIDTEC2010-19207
dc.relation.projectIDSUMA project
dc.relation.projectIDGR10158
dc.relation.projectIDFIRB project No. RBFR086NN1
dc.rights.accessRightsopen access
dc.subject.cdu53
dc.subject.keywordReplica symmetry-breaking
dc.subject.keywordScaling theory
dc.subject.keywordOrdered phase
dc.subject.keywordModel
dc.subject.keywordSimulations
dc.subject.keywordTransition
dc.subject.keywordBehavior
dc.subject.keywordLiquids
dc.subject.keywordJanus.
dc.subject.ucmFísica (Física)
dc.subject.ucmFísica-Modelos matemáticos
dc.subject.unesco22 Física
dc.titleThe three-dimensional Ising spin glass in an external magnetic field: the role of the silent majority
dc.typejournal article
dc.volume.number2014
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