Numerical construction of the Aizenman-Wehr metastate

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dc.contributor.authorBilloire,, A.
dc.contributor.authorFernández Pérez, Luis Antonio
dc.contributor.authorMaiorano, A.
dc.contributor.authorMarinari, E.
dc.contributor.authorMartín Mayor, Víctor
dc.contributor.authorMoreno Gordo, J.
dc.contributor.authorParisi, G.
dc.contributor.authorRicci-Tersenghi, F.
dc.contributor.authorRuiz Lorenzo, J. J.
dc.date.accessioned2023-06-17T22:10:01Z
dc.date.available2023-06-17T22:10:01Z
dc.date.issued2017-07-21
dc.description© 2017 American Physical Society. This project has received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation program (Grant No. 694925). We were partially supported by MINECO (Spain) through Grants No. FIS2012-35719-C02-01, No. FIS2013-42840-P, No. FIS2015-65078-C2, and No. FIS2016-76359-P (contract partially funded by FEDER), and by the Junta de Extremadura (Spain) through Grant No. GRU10158 (partially funded by FEDER). Our simulations were carried out at the BIFI supercomputing center (using the Memento and Cierzo clusters), at the TGCC supercomputing center in Bruyères-le-Châtel (using the Curie computer, under Grant No. 2015-056870 made by GENCI), and at the ICCAEx supercomputer center in Badajoz (GrInFishpc and ICCAExhpc). We thank the staff at the BIFI, TGCC, and ICCAEx supercomputing centers for their assistance.
dc.description.abstractChaotic size dependence makes it extremely difficult to take the thermodynamic limit in disordered systems. Instead, the metastate, which is a distribution over thermodynamic states, might have a smooth limit. So far, studies of the metastate have been mostly mathematical. We present a numerical construction of the metastate for the d ¼ 3 Ising spin glass. We work in equilibrium, below the critical temperature. Leveraging recent rigorous results, our numerical analysis gives evidence for a dispersed metastate, supported on many thermodynamic states.
dc.description.departmentDepto. de Física Teórica
dc.description.facultyFac. de Ciencias Físicas
dc.description.refereedTRUE
dc.description.sponsorshipUnión Europea. H2020
dc.description.sponsorshipMinisterio de Economía y Competitividad (MINECO)
dc.description.sponsorshipFEDER
dc.description.sponsorshipJunta de Extremadura (Spain)
dc.description.sponsorshipGENCI
dc.description.sponsorshipICCAEx (Badajoz, Spain)
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/45059
dc.identifier.doi10.1103/PhysRevLett.119.037203
dc.identifier.issn0031-9007
dc.identifier.officialurlhttp://doi.org/10.1103/PhysRevLett.119.037203
dc.identifier.relatedurlhttps://journals.aps.org
dc.identifier.urihttps://hdl.handle.net/20.500.14352/18161
dc.issue.number3
dc.journal.titlePhysical review letters
dc.language.isoeng
dc.publisherAmerican Physical Society
dc.relation.projectIDLoTGlasSy (694925)
dc.relation.projectIDFIS2012-35719-C02-01
dc.relation.projectIDFIS2013-42840-P
dc.relation.projectIDFIS2015-65078-C2
dc.relation.projectIDFIS2016-76359-P
dc.relation.projectIDGRU10158
dc.relation.projectID2015-056870
dc.relation.projectIDGrInFishpc
dc.relation.projectIDICCAExhpc
dc.rights.accessRightsopen access
dc.subject.cdu53
dc.subject.keywordIsing spin-glass
dc.subject.keywordReplica symmetry-breaking
dc.subject.keywordCritical-behavior
dc.subject.keywordModel
dc.subject.keywordPhase.
dc.subject.ucmFísica-Modelos matemáticos
dc.titleNumerical construction of the Aizenman-Wehr metastate
dc.typejournal article
dc.volume.number119
dspace.entity.typePublication
relation.isAuthorOfPublication146096b1-5825-4230-8ad9-b2dad468673b
relation.isAuthorOfPublication061118c0-eadf-4ee3-8897-2c9b65a6df66
relation.isAuthorOfPublication.latestForDiscovery146096b1-5825-4230-8ad9-b2dad468673b
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