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Spin glasses on the hypercube

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dc.contributor.authorFernández Pérez, Luis Antonio
dc.contributor.authorMartín Mayor, Víctor
dc.contributor.authorParisi, G.
dc.contributor.authorSeoane Bartolomé, Beatriz
dc.date.accessioned2023-06-20T04:13:18Z
dc.date.available2023-06-20T04:13:18Z
dc.date.issued2010-04-02
dc.description© 2010 The American Physical Society. We thank Federico Ricci-Tersenghi for discussions. Computations have been carried out in PC clusters at BIFI and DFTI-UCM. We have been partly supported by MICINN, Spain through Research Contracts No. FIS2006-08533 and No. FIS2009-12648-C03 and by UCM-Banco de Santander through Grant No. GR58/08. B.S. was supported by the FPU program Spain.
dc.description.abstractWe present a mean field model for spin glasses with a natural notion of distance built in, namely, the Edwards-Anderson model on the diluted D-dimensional unit hypercube in the limit of large D. We show that finite D effects are strongly dependent on the connectivity, being much smaller for a fixed coordination number. We solve the nontrivial problem of generating these lattices. Afterward, we numerically study the nonequilibrium dynamics of the mean field spin glass. Our three main findings are the following: i the dynamics is ruled by an infinite number of time sectors, ii the aging dynamics consists of the growth of coherent domains with a nonvanishing surface-volume ratio, and iii the propagator in Fourier space follows the p4 law. We study as well the finite D effects in the nonequilibrium dynamics, finding that a naive finite size scaling ansatz works surprisingly well.
dc.description.departmentDepto. de Física Teórica
dc.description.facultyFac. de Ciencias Físicas
dc.description.refereedTRUE
dc.description.sponsorshipMinisterio de Ciencia e Innovación (MICINN)
dc.description.sponsorshipUCM-Banco de Santander
dc.description.sponsorshipFPU program, Spain
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/37834
dc.identifier.doi10.1103/PhysRevB.81.134403
dc.identifier.issn1098-0121
dc.identifier.officialurlhttp://doi.org/10.1103/PhysRevB.81.134403
dc.identifier.relatedurlhttp://journals.aps.org/
dc.identifier.urihttps://hdl.handle.net/20.500.14352/45058
dc.issue.number13
dc.journal.titlePhysical review B
dc.language.isoeng
dc.publisherAmerican Physical Society
dc.relation.projectIDFIS2006-08533
dc.relation.projectIDFIS2009-12648-C03
dc.relation.projectIDGR58/08
dc.rights.accessRightsopen access
dc.subject.cdu53
dc.subject.cdu51-73
dc.subject.keywordSaturated remanent magnetization
dc.subject.keywordBethe lattice
dc.subject.keywordOrdered phase
dc.subject.keywordTime decay
dc.subject.keywordModel
dc.subject.keywordEquilibrium
dc.subject.keywordBehavior
dc.subject.keywordSystems.
dc.subject.ucmFísica (Física)
dc.subject.ucmFísica-Modelos matemáticos
dc.subject.unesco22 Física
dc.titleSpin glasses on the hypercube
dc.typejournal article
dc.volume.number81
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